In the end, the couplet criticizing Lu Zhou was not written.
After writing comments on the draft paper, Lu Zhou stopped writing, stood up and stuffed the pile of draft paper into his suitcase, planning to do research after returning to Princeton.
The smoke on the cigarette tip floats upward, and the shaped smoke column gradually diverges.
I received a text message reply quickly.
After writing comments on the draft paper, Lu Zhou stopped writing, stood up and stuffed the pile of draft paper into his suitcase, planning to do research after returning to Princeton.
Lu Zhou: "No, what's wrong?"
However, as an unexpected gain, his research on NS equations has made considerable progress.
"I promised that I would never touch mathematics again after returning home, but I still can't control my hands..."
Professor Fefferman: "Really? Then I might be a little busy."
[I'm about to board the plane.]
Chen Yushan: [Junior, when will you return to school?]
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
"The Navier-Stokes equation on the Euclidean space R3 can be expressed in the form atμ = △μ + B (μ, μ), where B is a bilinear operator in the divergence-free vector field, and μ obeys elimination Property 〈B(μ,μ),μ〉=0… ”
Lu Zhou, who was sitting in the waiting hall and brushing his scarf to pass the time, suddenly received a text message from Senior Sister Chen.
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
"If we show that this stronger conclusion holds... "
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
There seemed to be a magical magic flowing in this small town, which could wash away the impetuousness in people's hearts. The moment Lu Zhou stepped here, he felt that everything was back on track.
"What do you think?"
"I promised that I would never touch mathematics again after returning home, but I still can't control my hands..."
After staring at the blackboard for a while, Lu Zhou spoke.
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
[I'm about to board the plane.]
After writing comments on the draft paper, Lu Zhou stopped writing, stood up and stuffed the pile of draft paper into his suitcase, planning to do research after returning to Princeton.
Lu Zhou said nothing and waited quietly for him to continue.
After resting for more than half a month, Lu Zhou felt as if he had been resurrected with full blood, and his whole mental outlook was much more radiant.
After finally writing the last line of calculations, Fefferman took back the chalk in his hand and looked at Lu Zhou beside him.
"I promised that I would never touch mathematics again after returning home, but I still can't control my hands..."
We took a plane from the provincial capital to Shanghai, and then flew across the Pacific Ocean from Shanghai.
After staring at the blackboard for a while, Lu Zhou spoke.
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
He still has a whole year to do research.
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
After more than twenty hours of walking around, Lu Zhou finally dragged his suitcase out of the Philadelphia Airport.
To spend time with his parents and family, only now he has this time...
The next day, Lu Zhou got up early, had breakfast, and then headed to the Institute for Advanced Study, where he found Professor Fefferman.
In the end, the couplet criticizing Lu Zhou was not written.
…
"If we show that this stronger conclusion holds... "
Chen Yushan: [Ah, you didn’t wait for me, that’s too much...﹏·]
"You constructed a partial differential equation similar to the NS equation?"
During the remaining time, Lu Zhou stopped worrying about work and focused on celebrating the New Year.
[…]
However, during this period of time, although Lu Zhou has been offline and fishing, Professor Fefferman has not stopped researching and has been studying the problems that the two men encountered in their previous research.
Lu Zhou:…
"Professor, you are finally back. How was your vacation?"
After the Lantern Festival on the 15th day of the lunar month, Lu Zhou said goodbye to his family, packed up his bags, and embarked on the journey to Princeton again.
"It has been prepared for a long time."
The big guys discuss academic issues.
After resting for more than half a month, Lu Zhou felt as if he had been resurrected with full blood, and his whole mental outlook was much more radiant.
Lu Zhou:…
Standing up from his desk, Professor Fefferman walked to the window and suddenly asked a little abruptly: "Do you smoke?"
Especially the meals cooked by his parents whet his appetite.
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
"It's nothing. It's right not to smoke. It's not a good thing." Professor Fefferman took out a cigarette from the cigarette case, lit it with a lighter, and handed it to Lu Zhou, "But sometimes it can It brings me unexpected inspiration.”
"I've been thinking about the question you left for a while," Professor Fefferman walked to the blackboard and smiled, picked up the chalk and said while writing, "Last time we got Pμi: = μi—(Δ^—1)·δi·δj·μj. After that, I conducted further analysis and found something more interesting... "
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
The smoke on the cigarette tip floats upward, and the shaped smoke column gradually diverges.
To spend time with his parents and family, only now he has this time...
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
However, during this period of time, although Lu Zhou has been offline and fishing, Professor Fefferman has not stopped researching and has been studying the problems that the two men encountered in their previous research.
In this way, I had a relaxing and happy New Year.
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
"The Navier-Stokes equation on the Euclidean space R3 can be expressed in the form atμ = △μ + B (μ, μ), where B is a bilinear operator in the divergence-free vector field, and μ obeys elimination Property 〈B(μ,μ),μ〉=0… ”
After the Lantern Festival on the 15th day of the lunar month, Lu Zhou said goodbye to his family, packed up his bags, and embarked on the journey to Princeton again.
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
After taking the high-speed train to the provincial capital, Lu Zhou directly transferred to the subway and went to the airport.
In this way, I had a relaxing and happy New Year.
The next day, Lu Zhou got up early, had breakfast, and then headed to the Institute for Advanced Study, where he found Professor Fefferman.
"It's nothing. It's right not to smoke. It's not a good thing." Professor Fefferman took out a cigarette from the cigarette case, lit it with a lighter, and handed it to Lu Zhou, "But sometimes it can It brings me unexpected inspiration.”
Lu Zhou, who was sitting in the waiting hall and brushing his scarf to pass the time, suddenly received a text message from Senior Sister Chen.
Ding-
Lu Zhou said nothing and waited quietly for him to continue.
"It has been prepared for a long time."
He still has a whole year to do research.
You didn't tell me in advance that you wanted to go together...
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
When he arrived at Professor Fefferman's office, in addition to Fefferman himself, there were also several doctoral students he led.
Chen Yushan: [Junior, when will you return to school?]
Lu Zhou said nothing and waited quietly for him to continue.
When he arrived at Professor Fefferman's office, in addition to Fefferman himself, there were also several doctoral students he led.
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
After resting for more than half a month, Lu Zhou felt as if he had been resurrected with full blood, and his whole mental outlook was much more radiant.
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
But speaking of it, when did the senior learn to be cute
However, during this period of time, although Lu Zhou has been offline and fishing, Professor Fefferman has not stopped researching and has been studying the problems that the two men encountered in their previous research.
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
Ding-
[I'm about to board the plane.]
Ding-
Spent the day resting at home.
Ding-
The next day, Lu Zhou got up early, had breakfast, and then headed to the Institute for Advanced Study, where he found Professor Fefferman.
After writing comments on the draft paper, Lu Zhou stopped writing, stood up and stuffed the pile of draft paper into his suitcase, planning to do research after returning to Princeton.
"Professor, you are finally back. How was your vacation?"
I received a text message reply quickly.
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
In the parking lot outside the airport, his student Jericho drove his Ford Explorer and had been waiting there for a long time.
After finally writing the last line of calculations, Fefferman took back the chalk in his hand and looked at Lu Zhou beside him.
However, during this period of time, although Lu Zhou has been offline and fishing, Professor Fefferman has not stopped researching and has been studying the problems that the two men encountered in their previous research.
This is the research result that Lu Zhou showed on the blackboard last time.
In this way, I had a relaxing and happy New Year.
Chen Yushan: [Ah, you didn’t wait for me, that’s too much...﹏·]
The big guys discuss academic issues.
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
Lu Zhou:…
But speaking of it, when did the senior learn to be cute
Lu Zhou said nothing and waited quietly for him to continue.
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
You didn't tell me in advance that you wanted to go together...
After the Lantern Festival on the 15th day of the lunar month, Lu Zhou said goodbye to his family, packed up his bags, and embarked on the journey to Princeton again.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
But speaking of it, when did the senior learn to be cute
He still has a whole year to do research.
The smoke on the cigarette tip floats upward, and the shaped smoke column gradually diverges.
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
"It has been prepared for a long time."
Lu Zhou:…
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
We took a plane from the provincial capital to Shanghai, and then flew across the Pacific Ocean from Shanghai.
The smoke on the cigarette tip floats upward, and the shaped smoke column gradually diverges.
We took a plane from the provincial capital to Shanghai, and then flew across the Pacific Ocean from Shanghai.
The smoke on the cigarette tip floats upward, and the shaped smoke column gradually diverges.
We took a plane from the provincial capital to Shanghai, and then flew across the Pacific Ocean from Shanghai.
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
"It's nothing. It's right not to smoke. It's not a good thing." Professor Fefferman took out a cigarette from the cigarette case, lit it with a lighter, and handed it to Lu Zhou, "But sometimes it can It brings me unexpected inspiration.”
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
After more than twenty hours of walking around, Lu Zhou finally dragged his suitcase out of the Philadelphia Airport.
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
You didn't tell me in advance that you wanted to go together...
The smoke on the cigarette tip floats upward, and the shaped smoke column gradually diverges.
Chen Yushan: [Junior, when will you return to school?]
He still has a whole year to do research.
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
In the parking lot outside the airport, his student Jericho drove his Ford Explorer and had been waiting there for a long time.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
Standing up from his desk, Professor Fefferman walked to the window and suddenly asked a little abruptly: "Do you smoke?"
After writing comments on the draft paper, Lu Zhou stopped writing, stood up and stuffed the pile of draft paper into his suitcase, planning to do research after returning to Princeton.
Seeing Lu Zhou coming from the airport, Jericho waved excitedly and helped him open the trunk.
This is the research result that Lu Zhou showed on the blackboard last time.
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
The big guys discuss academic issues.
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
After taking the high-speed train to the provincial capital, Lu Zhou directly transferred to the subway and went to the airport.
[…]
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
"Professor, you are finally back. How was your vacation?"
"The Navier-Stokes equation on the Euclidean space R3 can be expressed in the form atμ = △μ + B (μ, μ), where B is a bilinear operator in the divergence-free vector field, and μ obeys elimination Property 〈B(μ,μ),μ〉=0… ”
Seeing Lu Zhou appearing at the door, Professor Fefferman stopped the pen in his hand and said pleasantly, "Did you enjoy your vacation?"
It's like a fluid with a very low viscosity coefficient.
"The Navier-Stokes equation on the Euclidean space R3 can be expressed in the form atμ = △μ + B (μ, μ), where B is a bilinear operator in the divergence-free vector field, and μ obeys elimination Property 〈B(μ,μ),μ〉=0… ”
Especially the meals cooked by his parents whet his appetite.
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
In the end, the couplet criticizing Lu Zhou was not written.
Lu Zhou smiled and said, "It's very pleasant. How about you? How are you during my absence?"
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
To spend time with his parents and family, only now he has this time...
Seeing Lu Zhou appearing at the door, Professor Fefferman stopped the pen in his hand and said pleasantly, "Did you enjoy your vacation?"
Jericho grinned: "It's great, but I feel like something is missing since you're not here."
The big guys discuss academic issues.
Spent the day resting at home.
After starting the car, Jericho took Lu Zhou back to the peaceful town of Princeton.
"What do you think?"
[I'm about to board the plane.]
After the Lantern Festival on the 15th day of the lunar month, Lu Zhou said goodbye to his family, packed up his bags, and embarked on the journey to Princeton again.
There seemed to be a magical magic flowing in this small town, which could wash away the impetuousness in people's hearts. The moment Lu Zhou stepped here, he felt that everything was back on track.
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
You didn't tell me in advance that you wanted to go together...
After the Lantern Festival on the 15th day of the lunar month, Lu Zhou said goodbye to his family, packed up his bags, and embarked on the journey to Princeton again.
Chen Yushan: [Ah, you didn’t wait for me, that’s too much...﹏·]
You didn't tell me in advance that you wanted to go together...
After more than twenty hours of walking around, Lu Zhou finally dragged his suitcase out of the Philadelphia Airport.
Spent the day resting at home.
There seemed to be a magical magic flowing in this small town, which could wash away the impetuousness in people's hearts. The moment Lu Zhou stepped here, he felt that everything was back on track.
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
When he arrived at Professor Fefferman's office, in addition to Fefferman himself, there were also several doctoral students he led.
However, Professor Fefferman once again did further research based on the basics.
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
The next day, Lu Zhou got up early, had breakfast, and then headed to the Institute for Advanced Study, where he found Professor Fefferman.
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
After resting for more than half a month, Lu Zhou felt as if he had been resurrected with full blood, and his whole mental outlook was much more radiant.
The big guys discuss academic issues.
[I'm about to board the plane.]
This is the research result that Lu Zhou showed on the blackboard last time.
To spend time with his parents and family, only now he has this time...
When he arrived at Professor Fefferman's office, in addition to Fefferman himself, there were also several doctoral students he led.
It's like a fluid with a very low viscosity coefficient.
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
…
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
Seeing Lu Zhou appearing at the door, Professor Fefferman stopped the pen in his hand and said pleasantly, "Did you enjoy your vacation?"
[…]
Spent the day resting at home.
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
"I've been thinking about the question you left for a while," Professor Fefferman walked to the blackboard and smiled, picked up the chalk and said while writing, "Last time we got Pμi: = μi—(Δ^—1)·δi·δj·μj. After that, I conducted further analysis and found something more interesting... "
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
After more than twenty hours of walking around, Lu Zhou finally dragged his suitcase out of the Philadelphia Airport.
Professor Fefferman: "Really? Then I might be a little busy."
There seemed to be a magical magic flowing in this small town, which could wash away the impetuousness in people's hearts. The moment Lu Zhou stepped here, he felt that everything was back on track.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
Professor Fefferman smiled and said pleasantly: "Many times the fluids we study are just like it, from swirling in an orderly manner to disorganized divergence at the end, from being predictable at first to being completely out of control in the end. Even if it is exhausted, All mathematical tools cannot describe the evolution of this chaotic state."
There seemed to be a magical magic flowing in this small town, which could wash away the impetuousness in people's hearts. The moment Lu Zhou stepped here, he felt that everything was back on track.
I received a text message reply quickly.
After taking the cigarette from Professor Fefferman, Lu Zhou pinched it with two fingers and looked at the smoke rising from the cigarette.
"It's nothing. It's right not to smoke. It's not a good thing." Professor Fefferman took out a cigarette from the cigarette case, lit it with a lighter, and handed it to Lu Zhou, "But sometimes it can It brings me unexpected inspiration.”
It's like a fluid with a very low viscosity coefficient.
Lu Zhou smiled lightly.
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
Can't afford to offend, can't afford to offend...
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
"It has been prepared for a long time."
I received a text message reply quickly.
"It has been prepared for a long time."
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
But speaking of it, when did the senior learn to be cute
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
After starting the car, Jericho took Lu Zhou back to the peaceful town of Princeton.
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
Chen Yushan: [Junior, when will you return to school?]
"I've been thinking about the question you left for a while," Professor Fefferman walked to the blackboard and smiled, picked up the chalk and said while writing, "Last time we got Pμi: = μi—(Δ^—1)·δi·δj·μj. After that, I conducted further analysis and found something more interesting... "
After taking the cigarette from Professor Fefferman, Lu Zhou pinched it with two fingers and looked at the smoke rising from the cigarette.
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
However, during this period of time, although Lu Zhou has been offline and fishing, Professor Fefferman has not stopped researching and has been studying the problems that the two men encountered in their previous research.
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
Standing up from his desk, Professor Fefferman walked to the window and suddenly asked a little abruptly: "Do you smoke?"
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
Especially the meals cooked by his parents whet his appetite.
During the remaining time, Lu Zhou stopped worrying about work and focused on celebrating the New Year.
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
"What do you think?"
Lu Zhou: "No, what's wrong?"
"Professor, you are finally back. How was your vacation?"
Chen Yushan: [Ah, you didn’t wait for me, that’s too much...﹏·]
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
Seeing Lu Zhou coming from the airport, Jericho waved excitedly and helped him open the trunk.
"It's nothing. It's right not to smoke. It's not a good thing." Professor Fefferman took out a cigarette from the cigarette case, lit it with a lighter, and handed it to Lu Zhou, "But sometimes it can It brings me unexpected inspiration.”
Lu Zhou smiled and said, "It's very pleasant. How about you? How are you during my absence?"
Chen Yushan: [Junior, when will you return to school?]
…
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
"What do you think?"
"It has been prepared for a long time."
…
After taking the cigarette from Professor Fefferman, Lu Zhou pinched it with two fingers and looked at the smoke rising from the cigarette.
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
There seemed to be a magical magic flowing in this small town, which could wash away the impetuousness in people's hearts. The moment Lu Zhou stepped here, he felt that everything was back on track.
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
However, during this period of time, although Lu Zhou has been offline and fishing, Professor Fefferman has not stopped researching and has been studying the problems that the two men encountered in their previous research.
Ding-
The smoke on the cigarette tip floats upward, and the shaped smoke column gradually diverges.
However, as an unexpected gain, his research on NS equations has made considerable progress.
Spent the day resting at home.
"What do you think?"
The big guys discuss academic issues.
I received a text message reply quickly.
It's like a fluid with a very low viscosity coefficient.
Lu Zhou: "No, what's wrong?"
"I promised that I would never touch mathematics again after returning home, but I still can't control my hands..."
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
Lu Zhou: "No, what's wrong?"
"I promised that I would never touch mathematics again after returning home, but I still can't control my hands..."
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
Lu Zhou smiled lightly.
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
Lu Zhou:…
Spent the day resting at home.
Professor Fefferman smiled and said pleasantly: "Many times the fluids we study are just like it, from swirling in an orderly manner to disorganized divergence at the end, from being predictable at first to being completely out of control in the end. Even if it is exhausted, All mathematical tools cannot describe the evolution of this chaotic state."
"If we show that this stronger conclusion holds... "
In this way, I had a relaxing and happy New Year.
Lu Zhou smiled and said, "It's very pleasant. How about you? How are you during my absence?"
Ding-
Lu Zhou said nothing and waited quietly for him to continue.
Especially the meals cooked by his parents whet his appetite.
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
However, Professor Fefferman once again did further research based on the basics.
"I've been thinking about the question you left for a while," Professor Fefferman walked to the blackboard and smiled, picked up the chalk and said while writing, "Last time we got Pμi: = μi—(Δ^—1)·δi·δj·μj. After that, I conducted further analysis and found something more interesting... "
"What do you think?"
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
Seeing the emoji, Lu Zhou thought for a moment that the text message was from Xiao Ai.
After taking the cigarette from Professor Fefferman, Lu Zhou pinched it with two fingers and looked at the smoke rising from the cigarette.
"If we show that this stronger conclusion holds... "
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
He still has a whole year to do research.
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
Jericho grinned: "It's great, but I feel like something is missing since you're not here."
Ding-
In the parking lot outside the airport, his student Jericho drove his Ford Explorer and had been waiting there for a long time.
"The Navier-Stokes equation on the Euclidean space R3 can be expressed in the form atμ = △μ + B (μ, μ), where B is a bilinear operator in the divergence-free vector field, and μ obeys elimination Property 〈B(μ,μ),μ〉=0… ”
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
"The Navier-Stokes equation on the Euclidean space R3 can be expressed in the form atμ = △μ + B (μ, μ), where B is a bilinear operator in the divergence-free vector field, and μ obeys elimination Property 〈B(μ,μ),μ〉=0… ”
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
This is the research result that Lu Zhou showed on the blackboard last time.
However, as an unexpected gain, his research on NS equations has made considerable progress.
I received a text message reply quickly.
However, Professor Fefferman once again did further research based on the basics.
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
Lu Zhou, who was sitting in the waiting hall and brushing his scarf to pass the time, suddenly received a text message from Senior Sister Chen.
Lu Zhou:…
Ding-
To spend time with his parents and family, only now he has this time...
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
You didn't tell me in advance that you wanted to go together...
[…]
It's like a fluid with a very low viscosity coefficient.
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
"It's nothing. It's right not to smoke. It's not a good thing." Professor Fefferman took out a cigarette from the cigarette case, lit it with a lighter, and handed it to Lu Zhou, "But sometimes it can It brings me unexpected inspiration.”
[I'm about to board the plane.]
It's like a fluid with a very low viscosity coefficient.
The big guys discuss academic issues.
"You constructed a partial differential equation similar to the NS equation?"
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
Lu Zhou said nothing and waited quietly for him to continue.
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
[…]
[μ(t)=e^(t△)·μ0+∫e^(t—t')△B(μ(t'),μ(t'))dt']
You didn't tell me in advance that you wanted to go together...
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
Lu Zhou: "It's quite pleasant. I haven't had such a long vacation in a long time."
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
We took a plane from the provincial capital to Shanghai, and then flew across the Pacific Ocean from Shanghai.
[I'm about to board the plane.]
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
This is the research result that Lu Zhou showed on the blackboard last time.
I received a text message reply quickly.
The big guys discuss academic issues.
However, as an unexpected gain, his research on NS equations has made considerable progress.
"What do you think?"
"Professor, you are finally back. How was your vacation?"
The big guys discuss academic issues.
Especially the meals cooked by his parents whet his appetite.
Can't afford to offend, can't afford to offend...
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
I received a text message reply quickly.
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
Can't afford to offend, can't afford to offend...
"It's nothing. It's right not to smoke. It's not a good thing." Professor Fefferman took out a cigarette from the cigarette case, lit it with a lighter, and handed it to Lu Zhou, "But sometimes it can It brings me unexpected inspiration.”
It's like a fluid with a very low viscosity coefficient.
Lu Zhou smiled and said, "It's very pleasant. How about you? How are you during my absence?"
After more than twenty hours of walking around, Lu Zhou finally dragged his suitcase out of the Philadelphia Airport.
After finally writing the last line of calculations, Fefferman took back the chalk in his hand and looked at Lu Zhou beside him.
After staring at the nearly burned out cigarette for a while, Lu Zhou vaguely understood something, but still asked, "What do you want to tell me?"
To spend time with his parents and family, only now he has this time...
I received a text message reply quickly.
"I promised that I would never touch mathematics again after returning home, but I still can't control my hands..."
Chen Yushan: [Ah, you didn’t wait for me, that’s too much...﹏·]
Lu Zhou, who tapped the tip of his pen lightly on the draft paper and murmured to himself, suddenly froze for a moment, then shook his head with a smile.
However, during this period of time, although Lu Zhou has been offline and fishing, Professor Fefferman has not stopped researching and has been studying the problems that the two men encountered in their previous research.
[〈B(μ,v),w〉=—πi∫Λξ1,ξ2,ξ3(μ(ξ1),v(ξ2),w(ξ3))…]
"What do you think?"
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
But speaking of it, when did the senior learn to be cute
Lu Zhou: "No, what's wrong?"
We took a plane from the provincial capital to Shanghai, and then flew across the Pacific Ocean from Shanghai.
"Given a Schwartz divergence-free vector field μ0, the time interval IC [0, +∞), we continue to define a generalized solution H10 of the Navier-Stokes equation as, a continuous map obeying the integral equation μ(t) μ→H10df(R3)…”
After staring at the blackboard for a while, Lu Zhou spoke.
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
After finally writing the last line of calculations, Fefferman took back the chalk in his hand and looked at Lu Zhou beside him.
During the remaining time, Lu Zhou stopped worrying about work and focused on celebrating the New Year.
In the end, the couplet criticizing Lu Zhou was not written.
Ding-
Lu Zhou said nothing and waited quietly for him to continue.
"You constructed a partial differential equation similar to the NS equation?"
The only regret is that he has a physique that cannot put on any weight. Even if he eats and sleeps every day, there is still no change in his weight.
"You constructed a partial differential equation similar to the NS equation?"
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
Can't afford to offend, can't afford to offend...
The big guys discuss academic issues.
After seeing the text message, Lu Zhou smiled and replied while poking the screen with his finger.
Especially the meals cooked by his parents whet his appetite.
As early as two years ago, the two established the "NS Research Group" and made a lot of progress in research related to NS equations. Later, because Lu Zhou returned to China to receive the award, the research temporarily came to a standstill.
The other two doctoral students in the office looked at the dense calculations on the blackboard in confusion, then lowered their heads in confusion and continued to do their own things.
To spend time with his parents and family, only now he has this time...
"If we show that this stronger conclusion holds... "
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
After staring at the blackboard for a while, Lu Zhou spoke.
However, as an unexpected gain, his research on NS equations has made considerable progress.
Lu Zhou, who was sitting in the waiting hall and brushing his scarf to pass the time, suddenly received a text message from Senior Sister Chen.
Professor Fefferman smiled and nodded: "We can indirectly prove that the original conclusion is also true!"
Seeing Lu Zhou coming from the airport, Jericho waved excitedly and helped him open the trunk.
"I've been thinking about the question you left for a while," Professor Fefferman walked to the blackboard and smiled, picked up the chalk and said while writing, "Last time we got Pμi: = μi—(Δ^—1)·δi·δj·μj. After that, I conducted further analysis and found something more interesting... "
After starting the car, Jericho took Lu Zhou back to the peaceful town of Princeton.
"That's right," Professor Fefferman said in a relaxed tone, "Construct an abstract bilinear operator B'. This type of bilinear operator has similar non-linearity to the Euler linear operator B in μ(t). Linear structure, but at the same time it is different from B."