Lu Zhou and Professor Fefferman reached a consensus on the proof idea, but how to construct this abstract bilinear operator B' has become a very serious problem.
After a short period of entanglement and entanglement, the gradually enlarging smoke column finally dispersed in the air, leaving no trace.
It wasn't until he exhausted all his energy and his legs began to feel as heavy as lead that he gradually stopped.
Lu Zhou cast a questioning look at him.
The series of problems derived from it are even more complicated...
"...I feel the same way."
Throw a big bomb or something in there.
It must have a similar nonlinear structure to the Euler linear operator B in μ(t), but at the same time it is different from B.
Lu Zhou made a shooting motion and threw the can towards the trash can by the lake.
"This isn't like you."
"Yeah, it's so bizarre."
Throw a big bomb or something in there.
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
unless…
Molina asked: "Is the explosion of stationary lake water itself part of the NS equation?"
In partial differential equations, "nonlinear" means complexity.
This is ridiculous!
"It's for you."
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
Professor Fefferman nodded: "Although we were initially optimistic that the proposition must be correct, more and more results tell us that it may not be as perfect as we imagined."
"Do you think this Carnegie Lake will suddenly explode?"
And this means that at this point in time or space, it may no longer have regularity...
No matter how relaxed he was some time ago, with the achievements he has made now, he can still kill her and her mentor more than twice at the IMU conference in August this year...
In so many years, this was the first time that he showed such an uncertain expression about the calculation he had written.
The series of problems derived from it are even more complicated...
When he said this, Professor Fefferman's tone was full of uncertainty, and there was no trace of the calm and casual manner he had when facing students in class.
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
Professor Fefferman sighed: "Yes, this is ridiculous, but... it is not unreasonable."
The first discussion in March was held in a small conference room at the Institute for Advanced Study in Princeton.
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
Professor Fefferman sighed and lowered his arms.
Lu Zhou stared at the blackboard solemnly and was silent for a while before speaking with difficulty.
"Do you think this Carnegie Lake will suddenly explode?"
At this moment, a can of sports drink was thrown from the side, hit the soft grass, and rolled to his hand.
Staring at this natural phenomenon, Professor Fefferman spoke in a soliloquy voice as if to convince himself.
…
However, no matter how he imagined this, Lu Zhou could not imagine the scene of the kayak on the lake being blown away by the evaporating lake water.
"You're welcome."
"I can confirm that we are very close to the final result, just a little bit away."
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
Lu Zhou smiled, shook his head and said, "I mean, under normal circumstances."
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
The issue discussed with Professor Fefferman in the afternoon was still lingering in his mind.
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
Lu Zhou threw the chalk on the desk, took two steps back, stared at the blackboard, and nodded.
It wasn't until he exhausted all his energy and his legs began to feel as heavy as lead that he gradually stopped.
After a short period of entanglement and entanglement, the gradually enlarging smoke column finally dispersed in the air, leaving no trace.
…
Lu Zhou threw the chalk on the desk, took two steps back, stared at the blackboard, and nodded.
But, is there such a possibility
Throw a big bomb or something in there.
However, even though he nodded, there was no joy on his face. Instead, he looked solemn because of the calculation in front of him.
Lu Zhou grinned: "What aspect are you referring to?"
Lu Zhou looked up and saw Molina in sportswear standing not far away, holding another can of the same drink in her hand and saying hello to him with her eyes.
If their conclusion is correct, then the three-dimensional NS equation will undoubtedly "explode" at a certain point.
Lu Zhou looked up and saw Molina in sportswear standing not far away, holding another can of the same drink in her hand and saying hello to him with her eyes.
After a while, Lu Zhou spoke.
"...I feel the same way."
But if it is for research, you can ignore this rule.
Lu Zhou and Professor Fefferman reached a consensus on the proof idea, but how to construct this abstract bilinear operator B' has become a very serious problem.
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
"...I feel the same way."
"Maybe."
Lu Zhou cast a questioning look at him.
Professor Fefferman sighed and lowered his arms.
Lu Zhou smiled, shook his head and said, "I mean, under normal circumstances."
This is ridiculous!
He let out a long breath and felt the coldness spreading in his chest. He raised his hand and wiped his mouth.
"Sometimes the distance between failure and success is just a little bit, you know? I'm even beginning to doubt now... "
After hearing what she said, Lu Zhou was not polite, opened the can, raised his head and took a swig.
"This is ridiculous."
Lu Zhou smiled, shook his head and said, "I mean, under normal circumstances."
It must have a similar nonlinear structure to the Euler linear operator B in μ(t), but at the same time it is different from B.
Lu Zhou cast a questioning look at him.
Lu Zhou made a shooting motion and threw the can towards the trash can by the lake.
However, what he wants to discuss is obviously not this special situation of "added empirical parameters".
"...I feel the same way."
"Suspect?"
Lu Zhou and Professor Fefferman reached a consensus on the proof idea, but how to construct this abstract bilinear operator B' has become a very serious problem.
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
But, is there such a possibility
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
Professor Fefferman nodded: "Although we were initially optimistic that the proposition must be correct, more and more results tell us that it may not be as perfect as we imagined."
This particular point is not infinite, but it seems to exist.
Molina asked: "Is the explosion of stationary lake water itself part of the NS equation?"
And this means that at this point in time or space, it may no longer have regularity...
"Maybe."
When he said this, Professor Fefferman's tone was full of uncertainty, and there was no trace of the calm and casual manner he had when facing students in class.
When he said this, Professor Fefferman's tone was full of uncertainty, and there was no trace of the calm and casual manner he had when facing students in class.
After a while, Lu Zhou spoke.
In so many years, this was the first time that he showed such an uncertain expression about the calculation he had written.
In so many years, this was the first time that he showed such an uncertain expression about the calculation he had written.
The series of problems derived from it are even more complicated...
The running speed became faster and faster, and before he knew it, Lu Zhou started sprinting.
No matter how relaxed he was some time ago, with the achievements he has made now, he can still kill her and her mentor more than twice at the IMU conference in August this year...
"This is ridiculous."
No matter how relaxed he was some time ago, with the achievements he has made now, he can still kill her and her mentor more than twice at the IMU conference in August this year...
The study of NS equations has encountered an unexpected bottleneck.
Lu Zhou stared at the blackboard solemnly and was silent for a while before speaking with difficulty.
In so many years, this was the first time that he showed such an uncertain expression about the calculation he had written.
At this moment, a can of sports drink was thrown from the side, hit the soft grass, and rolled to his hand.
"This is ridiculous."
Lu Zhou nodded and said frankly.
However, no matter how he imagined this, Lu Zhou could not imagine the scene of the kayak on the lake being blown away by the evaporating lake water.
It is difficult to solve its value with existing mathematical methods, just like mathematicians are at a loss to solve the NS equation. However, through indirect proof, it can be proved that it does exist...if there are no errors in the proof process.
Molina asked: "Is the explosion of stationary lake water itself part of the NS equation?"
Will a car driving on the highway disintegrate itself without warning at a certain point in time? This is obviously impossible. Even the worst-case scenario is just a ticket from the traffic police.
Throw a big bomb or something in there.
Lu Zhou and Professor Fefferman reached a consensus on the proof idea, but how to construct this abstract bilinear operator B' has become a very serious problem.
Professor Fefferman sighed: "Yes, this is ridiculous, but... it is not unreasonable."
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
Panting heavily, Lu Zhou walked to the lawn by the lake and sat down on the ground with some exhaustion.
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
As he spoke, he took out a cigarette and lighter from his pocket.
After a short period of entanglement and entanglement, the gradually enlarging smoke column finally dispersed in the air, leaving no trace.
When he said this, Professor Fefferman's tone was full of uncertainty, and there was no trace of the calm and casual manner he had when facing students in class.
Professor Fefferman nodded: "Although we were initially optimistic that the proposition must be correct, more and more results tell us that it may not be as perfect as we imagined."
"Sometimes the distance between failure and success is just a little bit, you know? I'm even beginning to doubt now... "
And this means that at this point in time or space, it may no longer have regularity...
In principle, smoking is not allowed in the conference room, and smokers must go to the designated smoking room.
As he spoke, he took out a cigarette and lighter from his pocket.
"...I feel the same way."
But if it is for research, you can ignore this rule.
"...I feel the same way."
Lu Zhou threw the chalk on the desk, took two steps back, stared at the blackboard, and nodded.
After all, this Institute of Advanced Studies was established for science. All the rules here are to serve science and to make it easier for scholars to study science.
However, what he wants to discuss is obviously not this special situation of "added empirical parameters".
He admitted that this was a hard thing to accept.
Without any hesitation, Professor Fefferman lit the cigarette and carefully placed it on the multimedia desk.
"Yeah, it's so bizarre."
For example, if water molecules are moving randomly in the system, the moving vectors at a certain moment happen to be outward at the same time? It's just like natural volatilization, but due to various coincidences, this "volatilization process" proceeds more intensely, and the energy is released in an instant.
After a short period of entanglement and entanglement, the gradually enlarging smoke column finally dispersed in the air, leaving no trace.
"It's for you."
Lu Zhou cast a questioning look at him.
Misty smoke spiraled upward.
Lu Zhou sighed: "Because my mathematics is telling me that this possibility does exist."
"This isn't like you."
"Maybe."
"You're welcome."
After a short period of entanglement and entanglement, the gradually enlarging smoke column finally dispersed in the air, leaving no trace.
Lu Zhou spoke meaningfully as he stared at the lake sparkling under the setting sun and at the kayaking club members training on the lake.
Without any hesitation, Professor Fefferman lit the cigarette and carefully placed it on the multimedia desk.
Looking at Lu Zhou, who was still breathing unsteadily, she said casually in a casual tone.
The results of the calculation are obvious, but they deviate from common sense.
Lu Zhou and Professor Fefferman reached a consensus on the proof idea, but how to construct this abstract bilinear operator B' has become a very serious problem.
Staring at this natural phenomenon, Professor Fefferman spoke in a soliloquy voice as if to convince himself.
"Thanks."
As he spoke, he took out a cigarette and lighter from his pocket.
"This is so bizarre."
"The final destination of all systems that can be predicted is chaos, just like our equation. The μΔ value exploded with the time term, in a sense, exactly fits the truth of this universe. When the time variable is amplified, we The equation will explode at some unknown singularity, and it will no longer be smooth..."
"This is ridiculous."
Molina burst out laughing.
However, even though he nodded, there was no joy on his face. Instead, he looked solemn because of the calculation in front of him.
Throw a big bomb or something in there.
This particular point is not infinite, but it seems to exist.
However, what he wants to discuss is obviously not this special situation of "added empirical parameters".
"I can confirm that we are very close to the final result, just a little bit away."
"Sometimes the distance between failure and success is just a little bit, you know? I'm even beginning to doubt now... "
It is difficult to solve its value with existing mathematical methods, just like mathematicians are at a loss to solve the NS equation. However, through indirect proof, it can be proved that it does exist...if there are no errors in the proof process.
As he spoke, he took out a cigarette and lighter from his pocket.
He let out a long breath and felt the coldness spreading in his chest. He raised his hand and wiped his mouth.
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
The running speed became faster and faster, and before he knew it, Lu Zhou started sprinting.
Lu Zhou smiled, shook his head and said, "I mean, under normal circumstances."
However, what he wants to discuss is obviously not this special situation of "added empirical parameters".
"Maybe."
Will a car driving on the highway disintegrate itself without warning at a certain point in time? This is obviously impossible. Even the worst-case scenario is just a ticket from the traffic police.
Lu Zhou can be sure that this is definitely not for science, but just a way to vent the irritability in his heart.
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
Looking at Lu Zhou, who was still breathing unsteadily, she said casually in a casual tone.
Lu Zhou nodded and said frankly.
Lu Zhou sighed: "Because my mathematics is telling me that this possibility does exist."
He admitted that this was a hard thing to accept.
This is ridiculous!
"Sometimes the distance between failure and success is just a little bit, you know? I'm even beginning to doubt now... "
Looking at Lu Zhou, who was still breathing unsteadily, she said casually in a casual tone.
The results of the calculation are obvious, but they deviate from common sense.
"Do you think this Carnegie Lake will suddenly explode?"
And this means that at this point in time or space, it may no longer have regularity...
Lu Zhou stared at the blackboard solemnly and was silent for a while before speaking with difficulty.
Molina said matter-of-factly: "Of course not... Why do you ask that?"
…
After a short period of entanglement and entanglement, the gradually enlarging smoke column finally dispersed in the air, leaving no trace.
Molina burst out laughing.
Will a car driving on the highway disintegrate itself without warning at a certain point in time? This is obviously impossible. Even the worst-case scenario is just a ticket from the traffic police.
Looking at Lu Zhou, who was still breathing unsteadily, she said casually in a casual tone.
"The final destination of all systems that can be predicted is chaos, just like our equation. The μΔ value exploded with the time term, in a sense, exactly fits the truth of this universe. When the time variable is amplified, we The equation will explode at some unknown singularity, and it will no longer be smooth..."
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
If their conclusion is correct, then the three-dimensional NS equation will undoubtedly "explode" at a certain point.
This particular point is not infinite, but it seems to exist.
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
The silence lasted for about five minutes before Lu Zhou suddenly spoke.
In partial differential equations, "nonlinear" means complexity.
Unfortunately, he failed to do so.
Lu Zhou stared at the blackboard solemnly and was silent for a while before speaking with difficulty.
He admitted that this was a hard thing to accept.
And this means that at this point in time or space, it may no longer have regularity...
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
Without any hesitation, Professor Fefferman lit the cigarette and carefully placed it on the multimedia desk.
"This is ridiculous."
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
This particular point is not infinite, but it seems to exist.
However, no matter how he imagined this, Lu Zhou could not imagine the scene of the kayak on the lake being blown away by the evaporating lake water.
This is ridiculous!
Lu Zhou made a shooting motion and threw the can towards the trash can by the lake.
"I can confirm that we are very close to the final result, just a little bit away."
He admitted that this was a hard thing to accept.
But, is there such a possibility
"I can confirm that we are very close to the final result, just a little bit away."
Staring at this natural phenomenon, Professor Fefferman spoke in a soliloquy voice as if to convince himself.
The first discussion in March was held in a small conference room at the Institute for Advanced Study in Princeton.
…
Lu Zhou stared at the blackboard solemnly and was silent for a while before speaking with difficulty.
Unfortunately, he failed to do so.
"This isn't like you."
Molina burst out laughing.
But if it is for research, you can ignore this rule.
"This is so bizarre."
The study of NS equations has encountered an unexpected bottleneck.
As he spoke, he took out a cigarette and lighter from his pocket.
Lu Zhou spoke meaningfully as he stared at the lake sparkling under the setting sun and at the kayaking club members training on the lake.
"This is so bizarre."
Lu Zhou cast a questioning look at him.
Will a car driving on the highway disintegrate itself without warning at a certain point in time? This is obviously impossible. Even the worst-case scenario is just a ticket from the traffic police.
Lu Zhou stared at the blackboard solemnly and was silent for a while before speaking with difficulty.
The issue discussed with Professor Fefferman in the afternoon was still lingering in his mind.
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
It is difficult to solve its value with existing mathematical methods, just like mathematicians are at a loss to solve the NS equation. However, through indirect proof, it can be proved that it does exist...if there are no errors in the proof process.
Molina said matter-of-factly: "Of course not... Why do you ask that?"
"This is so bizarre."
Throw a big bomb or something in there.
Unfortunately, he failed to do so.
…
"Thanks."
In so many years, this was the first time that he showed such an uncertain expression about the calculation he had written.
Lu Zhou spoke meaningfully as he stared at the lake sparkling under the setting sun and at the kayaking club members training on the lake.
The issue discussed with Professor Fefferman in the afternoon was still lingering in his mind.
The silence lasted for about five minutes before Lu Zhou suddenly spoke.
If their conclusion is correct, then the three-dimensional NS equation will undoubtedly "explode" at a certain point.
There was no suspense, his shot hit the target without any bias.
The running speed became faster and faster, and before he knew it, Lu Zhou started sprinting.
The running speed became faster and faster, and before he knew it, Lu Zhou started sprinting.
The first discussion in March was held in a small conference room at the Institute for Advanced Study in Princeton.
It wasn't until he exhausted all his energy and his legs began to feel as heavy as lead that he gradually stopped.
This particular point is not infinite, but it seems to exist.
"Yeah, it's so bizarre."
"Yeah, it's so bizarre."
Panting heavily, Lu Zhou walked to the lawn by the lake and sat down on the ground with some exhaustion.
Lu Zhou stared at the blackboard solemnly and was silent for a while before speaking with difficulty.
At this moment, a can of sports drink was thrown from the side, hit the soft grass, and rolled to his hand.
The series of problems derived from it are even more complicated...
Lu Zhou grinned: "What aspect are you referring to?"
At this moment, a can of sports drink was thrown from the side, hit the soft grass, and rolled to his hand.
In so many years, this was the first time that he showed such an uncertain expression about the calculation he had written.
However, his eyes seemed to be glued to the lake and he couldn't move away.
Professor Fefferman sighed and lowered his arms.
Lu Zhou looked up and saw Molina in sportswear standing not far away, holding another can of the same drink in her hand and saying hello to him with her eyes.
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
The first discussion in March was held in a small conference room at the Institute for Advanced Study in Princeton.
Lu Zhou threw the chalk on the desk, took two steps back, stared at the blackboard, and nodded.
"Maybe."
It must have a similar nonlinear structure to the Euler linear operator B in μ(t), but at the same time it is different from B.
Unfortunately, he failed to do so.
"It's for you."
But, is there such a possibility
In principle, smoking is not allowed in the conference room, and smokers must go to the designated smoking room.
After all, this Institute of Advanced Studies was established for science. All the rules here are to serve science and to make it easier for scholars to study science.
Misty smoke spiraled upward.
Lu Zhou threw the chalk on the desk, took two steps back, stared at the blackboard, and nodded.
After hearing what she said, Lu Zhou was not polite, opened the can, raised his head and took a swig.
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
Professor Fefferman sighed and lowered his arms.
"Suspect?"
Professor Fefferman nodded: "Although we were initially optimistic that the proposition must be correct, more and more results tell us that it may not be as perfect as we imagined."
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
He let out a long breath and felt the coldness spreading in his chest. He raised his hand and wiped his mouth.
Professor Fefferman sighed: "Yes, this is ridiculous, but... it is not unreasonable."
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
The first discussion in March was held in a small conference room at the Institute for Advanced Study in Princeton.
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
Lu Zhou looked up and saw Molina in sportswear standing not far away, holding another can of the same drink in her hand and saying hello to him with her eyes.
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
"Thanks."
It is difficult to solve its value with existing mathematical methods, just like mathematicians are at a loss to solve the NS equation. However, through indirect proof, it can be proved that it does exist...if there are no errors in the proof process.
Without any hesitation, Professor Fefferman lit the cigarette and carefully placed it on the multimedia desk.
"You're welcome."
Panting heavily, Lu Zhou walked to the lawn by the lake and sat down on the ground with some exhaustion.
"You're welcome."
Sitting next to her, Molina opened her can of drink and took a sip.
However, even though he nodded, there was no joy on his face. Instead, he looked solemn because of the calculation in front of him.
Lu Zhou nodded and said frankly.
But, is there such a possibility
Lu Zhou and Professor Fefferman reached a consensus on the proof idea, but how to construct this abstract bilinear operator B' has become a very serious problem.
No matter how relaxed he was some time ago, with the achievements he has made now, he can still kill her and her mentor more than twice at the IMU conference in August this year...
Looking at Lu Zhou, who was still breathing unsteadily, she said casually in a casual tone.
"I can confirm that we are very close to the final result, just a little bit away."
Molina: "Two months ago your physical strength was much better than now. It seems that this holiday has made you relax."
But, is there such a possibility
"Sometimes the distance between failure and success is just a little bit, you know? I'm even beginning to doubt now... "
No matter how relaxed he was some time ago, with the achievements he has made now, he can still kill her and her mentor more than twice at the IMU conference in August this year...
Staring at this natural phenomenon, Professor Fefferman spoke in a soliloquy voice as if to convince himself.
"This isn't like you."
The results of the calculation are obvious, but they deviate from common sense.
Molina: "Two months ago your physical strength was much better than now. It seems that this holiday has made you relax."
Lu Zhou grinned: "What aspect are you referring to?"
Lu Zhou cast a questioning look at him.
At this moment, a can of sports drink was thrown from the side, hit the soft grass, and rolled to his hand.
He let out a long breath and felt the coldness spreading in his chest. He raised his hand and wiped his mouth.
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
The series of problems derived from it are even more complicated...
Molina: "Two months ago your physical strength was much better than now. It seems that this holiday has made you relax."
He let out a long breath and felt the coldness spreading in his chest. He raised his hand and wiped his mouth.
For example, if water molecules are moving randomly in the system, the moving vectors at a certain moment happen to be outward at the same time? It's just like natural volatilization, but due to various coincidences, this "volatilization process" proceeds more intensely, and the energy is released in an instant.
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
But, is there such a possibility
Without any hesitation, Professor Fefferman lit the cigarette and carefully placed it on the multimedia desk.
No matter how relaxed he was some time ago, with the achievements he has made now, he can still kill her and her mentor more than twice at the IMU conference in August this year...
In principle, smoking is not allowed in the conference room, and smokers must go to the designated smoking room.
Panting heavily, Lu Zhou walked to the lawn by the lake and sat down on the ground with some exhaustion.
Lu Zhou and Professor Fefferman reached a consensus on the proof idea, but how to construct this abstract bilinear operator B' has become a very serious problem.
Will a car driving on the highway disintegrate itself without warning at a certain point in time? This is obviously impossible. Even the worst-case scenario is just a ticket from the traffic police.
He let out a long breath and felt the coldness spreading in his chest. He raised his hand and wiped his mouth.
"Thanks."
Staring at this natural phenomenon, Professor Fefferman spoke in a soliloquy voice as if to convince himself.
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
"Maybe."
"This isn't like you."
"It's for you."
Sitting next to her, Molina opened her can of drink and took a sip.
After a short period of entanglement and entanglement, the gradually enlarging smoke column finally dispersed in the air, leaving no trace.
Unfortunately, he failed to do so.
It is difficult to solve its value with existing mathematical methods, just like mathematicians are at a loss to solve the NS equation. However, through indirect proof, it can be proved that it does exist...if there are no errors in the proof process.
Sitting next to her, Molina opened her can of drink and took a sip.
Lu Zhou made a shooting motion and threw the can towards the trash can by the lake.
Sitting next to her, Molina opened her can of drink and took a sip.
"The final destination of all systems that can be predicted is chaos, just like our equation. The μΔ value exploded with the time term, in a sense, exactly fits the truth of this universe. When the time variable is amplified, we The equation will explode at some unknown singularity, and it will no longer be smooth..."
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
When he said this, Professor Fefferman's tone was full of uncertainty, and there was no trace of the calm and casual manner he had when facing students in class.
The silence lasted for about five minutes before Lu Zhou suddenly spoke.
Will a car driving on the highway disintegrate itself without warning at a certain point in time? This is obviously impossible. Even the worst-case scenario is just a ticket from the traffic police.
The issue discussed with Professor Fefferman in the afternoon was still lingering in his mind.
There was no suspense, his shot hit the target without any bias.
Molina said matter-of-factly: "Of course not... Why do you ask that?"
Unfortunately, he failed to do so.
Professor Fefferman sighed and lowered his arms.
However, what he wants to discuss is obviously not this special situation of "added empirical parameters".
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
"That's right."
This is ridiculous!
However, his eyes seemed to be glued to the lake and he couldn't move away.
The silence lasted for about five minutes before Lu Zhou suddenly spoke.
"This isn't like you."
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
The silence lasted for about five minutes before Lu Zhou suddenly spoke.
"Do you think this Carnegie Lake will suddenly explode?"
Professor Fefferman sighed: "Yes, this is ridiculous, but... it is not unreasonable."
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
However, what he wants to discuss is obviously not this special situation of "added empirical parameters".
"Do you think this Carnegie Lake will suddenly explode?"
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
The results of the calculation are obvious, but they deviate from common sense.
But, is there such a possibility
But if it is for research, you can ignore this rule.
It is difficult to solve its value with existing mathematical methods, just like mathematicians are at a loss to solve the NS equation. However, through indirect proof, it can be proved that it does exist...if there are no errors in the proof process.
As he spoke, he took out a cigarette and lighter from his pocket.
As he spoke, he took out a cigarette and lighter from his pocket.
Looking at Lu Zhou, who was still breathing unsteadily, she said casually in a casual tone.
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
"It's for you."
"I can confirm that we are very close to the final result, just a little bit away."
In principle, smoking is not allowed in the conference room, and smokers must go to the designated smoking room.
Lu Zhou smiled, shook his head and said, "I mean, under normal circumstances."
Lu Zhou smiled, shook his head and said, "I mean, under normal circumstances."
For example, if water molecules are moving randomly in the system, the moving vectors at a certain moment happen to be outward at the same time? It's just like natural volatilization, but due to various coincidences, this "volatilization process" proceeds more intensely, and the energy is released in an instant.
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
Lu Zhou threw the chalk on the desk, took two steps back, stared at the blackboard, and nodded.
Lu Zhou looked up and saw Molina in sportswear standing not far away, holding another can of the same drink in her hand and saying hello to him with her eyes.
Lu Zhou made a shooting motion and threw the can towards the trash can by the lake.
When she said this, Molina's tone sounded like schadenfreude, although Lu Zhou didn't know what she was gloating about.
Molina said matter-of-factly: "Of course not... Why do you ask that?"
Unfortunately, he failed to do so.
"Yeah, it's so bizarre."
Lu Zhou sighed: "Because my mathematics is telling me that this possibility does exist."
"This is ridiculous."
Lu Zhou sighed: "Because my mathematics is telling me that this possibility does exist."
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
The study of NS equations has encountered an unexpected bottleneck.
Molina burst out laughing.
However, no matter how he imagined this, Lu Zhou could not imagine the scene of the kayak on the lake being blown away by the evaporating lake water.
There was no suspense, his shot hit the target without any bias.
It wasn't until he exhausted all his energy and his legs began to feel as heavy as lead that he gradually stopped.
It is difficult to solve its value with existing mathematical methods, just like mathematicians are at a loss to solve the NS equation. However, through indirect proof, it can be proved that it does exist...if there are no errors in the proof process.
Molina: "Two months ago your physical strength was much better than now. It seems that this holiday has made you relax."
Professor Fefferman nodded: "Although we were initially optimistic that the proposition must be correct, more and more results tell us that it may not be as perfect as we imagined."
"This is so bizarre."
In partial differential equations, "nonlinear" means complexity.
"...I feel the same way."
The results of the calculation are obvious, but they deviate from common sense.
Professor Fefferman sighed and lowered his arms.
No matter how relaxed he was some time ago, with the achievements he has made now, he can still kill her and her mentor more than twice at the IMU conference in August this year...
Panting heavily, Lu Zhou walked to the lawn by the lake and sat down on the ground with some exhaustion.
Lu Zhou spoke meaningfully as he stared at the lake sparkling under the setting sun and at the kayaking club members training on the lake.
Misty smoke spiraled upward.
At this moment, a can of sports drink was thrown from the side, hit the soft grass, and rolled to his hand.
After a while, Lu Zhou spoke.
"I can confirm that we are very close to the final result, just a little bit away."
This is ridiculous!
"Yeah, it's so bizarre."
"...I feel the same way."
Lu Zhou sighed: "Because my mathematics is telling me that this possibility does exist."
The issue discussed with Professor Fefferman in the afternoon was still lingering in his mind.
The first discussion in March was held in a small conference room at the Institute for Advanced Study in Princeton.
Lu Zhou nodded and said frankly.
Lu Zhou made a shooting motion and threw the can towards the trash can by the lake.
But, is there such a possibility
In partial differential equations, "nonlinear" means complexity.
The issue discussed with Professor Fefferman in the afternoon was still lingering in his mind.
Professor Fefferman sighed and lowered his arms.
"Do you think this Carnegie Lake will suddenly explode?"
For example, if water molecules are moving randomly in the system, the moving vectors at a certain moment happen to be outward at the same time? It's just like natural volatilization, but due to various coincidences, this "volatilization process" proceeds more intensely, and the energy is released in an instant.
"Maybe."
Professor Fefferman sighed and lowered his arms.
For example, if water molecules are moving randomly in the system, the moving vectors at a certain moment happen to be outward at the same time? It's just like natural volatilization, but due to various coincidences, this "volatilization process" proceeds more intensely, and the energy is released in an instant.
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
"Sometimes the distance between failure and success is just a little bit, you know? I'm even beginning to doubt now... "
"This is ridiculous."
There was no suspense, his shot hit the target without any bias.
However, no matter how he imagined this, Lu Zhou could not imagine the scene of the kayak on the lake being blown away by the evaporating lake water.
"Yeah, it's so bizarre."
"It's for you."
unless…
"I can confirm that we are very close to the final result, just a little bit away."
However, even though he nodded, there was no joy on his face. Instead, he looked solemn because of the calculation in front of him.
Professor Fefferman nodded: "Although we were initially optimistic that the proposition must be correct, more and more results tell us that it may not be as perfect as we imagined."
After a while, Lu Zhou spoke.
"You mean there is a bomb buried under the lake?" Molina raised her eyebrows and said in a teasing tone, "In this country, this joke cannot be made casually."
Molina said matter-of-factly: "Of course not... Why do you ask that?"
Throw a big bomb or something in there.
Lu Zhou cast a questioning look at him.
Professor Fefferman sighed and lowered his arms.
It must have a similar nonlinear structure to the Euler linear operator B in μ(t), but at the same time it is different from B.
However, what he wants to discuss is obviously not this special situation of "added empirical parameters".
Lu Zhou made a shooting motion and threw the can towards the trash can by the lake.
"Suspect?"
Sitting next to her, Molina opened her can of drink and took a sip.
Misty smoke spiraled upward.
Molina asked: "Is the explosion of stationary lake water itself part of the NS equation?"
"You're welcome."
Staring at this natural phenomenon, Professor Fefferman spoke in a soliloquy voice as if to convince himself.
"The final destination of all systems that can be predicted is chaos, just like our equation. The μΔ value exploded with the time term, in a sense, exactly fits the truth of this universe. When the time variable is amplified, we The equation will explode at some unknown singularity, and it will no longer be smooth..."
Staring at this natural phenomenon, Professor Fefferman spoke in a soliloquy voice as if to convince himself.
Lu Zhou nodded and said frankly.
Sitting next to her, Molina opened her can of drink and took a sip.
At this moment, a can of sports drink was thrown from the side, hit the soft grass, and rolled to his hand.
In the evening, Lu Zhou, who had returned to his previous pace of life, put on sportswear and jogged along Carnegie Lake, trying to relax by breathing fresh air.
Lu Zhou can be sure that this is definitely not for science, but just a way to vent the irritability in his heart.
"Sometimes the distance between failure and success is just a little bit, you know? I'm even beginning to doubt now... "
When he said this, Professor Fefferman's tone was full of uncertainty, and there was no trace of the calm and casual manner he had when facing students in class.
unless…
"That's right."
This particular point is not infinite, but it seems to exist.
Having said this, Professor Fefferman stopped talking and started smoking cigarettes in silence, one after another.
He admitted that this was a hard thing to accept.
It wasn't until he exhausted all his energy and his legs began to feel as heavy as lead that he gradually stopped.
If their conclusion is correct, then the three-dimensional NS equation will undoubtedly "explode" at a certain point.