…
As a result, it turned out that there was no response for a long time.
If it is difficult to understand, you can imagine the plume ejected by the Hall effect thruster on the spacecraft in those science fiction movies, and you will probably understand what kind of black technology it is.
But at this time, Lu Zhou was in trouble.
Prior to this, research on the overall existence of smooth solutions to the three-dimensional incompressible Navier-Stokes equations only advanced to "under the assumption that a certain norm of the given initial value is appropriately small or the fluid motion area is appropriately small, NS The existence of a globally smooth solution to the equation" step.
"I know," Lu Zhou shrugged, "I just want to consult on some technical matters."
Putting the laptop on the table and opening it, Lu Zhou looked at Wei Wen who was sitting on the side of the office.
As for which journal to choose…
Now the theoretical tools have been created. The result is not only the creation of theoretical tools, but also a phased result on the problem of NS equations unintentionally.
After typing a line of title, Lu Zhou began to edit the abstract of the full text and gave a summary description of his work during this period.
This feeling often reminds him of his high school life.
The next day, carrying his laptop on his back, Lu Zhou went to the office at the Institute for Advanced Study.
Full of questions, Wei Wen stopped writing, stood up, walked to Lu Zhou's side, and looked at the paper on the screen.
The reason is quite straightforward.
In terms of review difficulty, mathematics journals are compared to physics journals.
"It is difficult to directly observe high-temperature and high-pressure plasma, but I think it is mathematically feasible to analyze the particle collision data and waveform changes to analyze its trajectory in the plasma."
The world's largest stellarator controllable nuclear fusion device "Helix 7-X" is the technical service provided by PPPL. At the same time, PPPL also maintains close cooperative relationships with several major controllable nuclear fusion research units in the world. .
Gradually, his expression became serious, as if he was thinking about the possibility of this idea.
"Research on the overall existence of smooth solutions to the three-dimensional incompressible Navier-Stokes equation under specific initial values"
"And most importantly, it must be stable enough!"
…
And because it is related to the big proposition of the Millennium Problem, the weight of this research result is not small.
"What's the matter?" Wei Wen, who pushed up his glasses and was reading literature to supplement his knowledge of partial differential equations, raised his head and cast a questioning look at Lu Zhou.
"Can I make a hypothesis and set up two ports on the plasma orbit? Send an irrelevant particle into the deuterium and tritium plasma through port A, and then recover the particle through port B... I want to know, in theory , can such a design be realized?”
In line with the principle that good news should not flow to outsiders, Lu Zhou, as a professor at Pudong University, naturally published it in the Pudong University journal.
Lazarson did not speak, but used his eyes to signal Lu Zhou to continue.
Since the beginning of the century, the ITER International Cooperation Organization has been established, establishing a research framework for controllable nuclear fusion technology for scientific research institutions in various countries. PPPL has cooperated closely with the German Max Planck Society on the research of stellarators.
Is it better to publish this thing in a physics journal or a mathematics journal
It could be seen that he did not take Lu Zhou, a "layman", seriously.
Professor Razelson smiled, looked at him and said, "This is different from a mathematical problem. It cannot be created just by talking about it."
Purely theoretical research can’t be published in Science and Nature, right
When I encounter a math problem that I can't solve, I always feel like a knot in my heart. If I can't solve it, I won't even have the motivation to go to the cafeteria to eat.
If Lyman Spitzer provided people with a theoretical blueprint for achieving controllable nuclear fusion, then it was the research team of this laboratory that turned this theoretical blueprint into engineering drawings.
Looking at the stack of papers on the table full of writing, Lu Zhou's lips curved into a comfortable smile.
As for the overall existence of the smooth solution of the NS equation when the initial value is infinitely smooth and has compact support, it is still a mystery.
After a long time, Professor Razelson spoke.
The theoretical preparation work has almost been completed. What Lu Zhou needs to solve now is the experimental problem.
Wei Wen was silent for a while and reluctantly gave an answer.
To put it simply, by setting an initial value that satisfies the specific condition α, he used the PDE method to prove the overall existence of the smooth solution of the three-dimensional incompressible Navier-Stokes equation under the "α case", and that under some specific conditions, Smoothness.
Turning on the computer, Lu Zhou began to edit the document and input his work during this period into the computer.
Because he had made an appointment in advance, Lu Zhou quickly met the person in charge, Professor Sam Lazersson, in the lounge of the institute.
Lu Zhou waved his hand: "Come and take a look at this paper."
As the end of October is about to slip away, this paper is finally completed.
Lu Zhou thought about it and finally felt that it would be more appropriate to publish it in a mathematics journal.
After posting the paper in the email, Lu Zhou sent the manuscript to the email of the editorial department of "Annals of Mathematics" through internal submission channels.
After hearing Lu Zhou's intention, Professor Razelson smiled.
Wei Wen immediately said: "The calculation space is more than the discussion space."
It seems reasonable
After all, if this thing was really so easy to solve, it wouldn't have been delayed until now.
“… Then let’s do math.”
However, Lu Zhou didn't care about the plasma expert's dismissive attitude and continued.
Lu Zhou was stunned for a moment and coughed lightly: "It's okay, just give me your opinion. Do you think it is more appropriate to publish it in a mathematics journal or a physics journal?"
Lu Zhou: "..."
Many people may not believe it. In addition to the basics of controllable nuclear fusion, scholars here seem to be no longer satisfied with the constraints of deuterium and tritium plasma, and there are even studies on xenon plasma accelerators.
After finishing the submission, he closed his laptop and went to the Princeton Plasma Physics Laboratory (PPPL).
This is a question worth thinking about.
"Wei Wen."
"I..." Wei Wen opened his mouth and lowered his head heavily, "I can't understand."
After coming to Princeton, Lu Zhou suddenly discovered that liver failure seemed to be a common thing for him.
Frowning slightly, Professor Razelson's face regained its contemptuous expression.
but…
Wei Wen: “…”
Professor Razelson touched his chin and asked: "This sounds... interesting, but what's the use of doing this?"
Lu Zhou: "Reason?"
"I'm afraid ordinary particles won't work!"
Seeing that he didn't respond for a long time, Lu Zhou urged: "Just a cursory look is enough. Can you give me an evaluation?"
"Are you planning to design an experimental instrument for observing high-temperature and pressure plasma?"
However, in the field of controllable nuclear fusion, no one can ignore its influence.
"Yes." Lu Zhou nodded without denying.
It seems that since he became a professor here, he has not contributed to the "Annals of Mathematics" for a long time.
"You are right," Lu Zhou nodded, with a smile on his lips, "Its mass must be similar to tritium or deuterium, and it must be distinguished from the reactants and products in the DT reaction system, and it must be easy to observe and Recycle… "
Although Deligne always criticized his lifestyle as making fun of his health, in fact, even if Lu Zhou did not do it deliberately, his desire to solve the problem would prompt him to do so.
Located in the corner of the town of Princeton, this modern minimalist-style building surrounded by lawns looks unattractive compared to the campus next to it that inherits the legacy of Oxford.
He still missed the feeling of returning to the study of pure mathematical problems after a long absence.
In layman's terms, Lu Zhou's work is based on this and takes another step forward towards solving the "Seven Millennium Problems" of Mount Everest.
In essence, this desire to explore the unknown seems to be the same
It’s quite interesting to say that Lu Zhou didn’t rush to solve this Millennium problem at the beginning. He just set a staged goal according to Mr. Qiu’s suggestion, and while moving towards this goal, he polished and solved the problem. theoretical tools.