Chapter 375: Phase results of the NS equation (three / three)

After having been in Princeton, Lu Zhou suddenly found out that exploding liver seemed to be a common thing for himself.
Although Deligne always criticized him for making jokes about his daily life, in fact, even if Lu Zhou did not do it on purpose, his desire to solve problems would prompt him to do so.
This feeling often reminded him of his high school life.
When I encounter a mathematical problem that cannot be solved, I always think it is a shame in my heart. If I ca n’t solve it, I wo n’t even have the motivation to eat in the cafeteria.
Essentially, this desire to explore the unknown seems to be the same?
As the tail of October was about to slip away, the paper was finally completed.
Looking at the stack of paper on the table, Lu Zhou's mouth evoked a smile of comfort.
The long-lost return to the study of purely mathematical problems, this feeling still makes him miss it.
Turn on the computer, Lu Zhou began editing documents, and input his work since this time into the computer.
"On the Global Existence of Smooth Solutions for Three-Dimensional Incompressible Navier-Stokes Equations at a Certain Initial Value"
After knocking down a line of titles, Lu Zhou began editing the abstract of the full text, and made a summary description of the work since that time.
In simple terms, he set an initial value that satisfies a specific condition α, and used the PDE method to prove the global existence of the smooth solution of the three-dimensional incompressible Navier-Stokes equation in the "α case", and to satisfy certain conditions Smoothness.
Prior to this, the study of the global existence of the smooth solution of the three-dimensional incompressible Navier-Stokes equation was only advanced to the "under the assumption that a certain norm of a given initial value is appropriately small or the fluid motion region is appropriately small, NS The existence of a global smooth solution to the equation "step.
As for the initial existence of infinitely smooth and compactly supported sets, the overall existence of the smooth solution of the NS equation is still a mystery.
In plain language, Lu Zhou's work is based on this, and has taken a step forward to solve the "seven millennium problems" Everest.
It's also very interesting to say, at first Lu Zhou didn't rush to solve this millennial problem, but just set a staged goal according to Mr. Qiu Lao's suggestion. While advancing towards this goal, polish and solve the problem Theoretical tool.
Now that the theoretical tools have been created, the result is not just the creation of theoretical tools, but also inadvertently inserted the issue of the NS equation and achieved a staged result.
And because of the big proposition of the millennium problem, the weight of this research result is not small.
But at this time, Lu Zhou had some difficulties.
Is it better to publish it in physical journals or mathematical journals?
This is a question worth thinking about.
Purely theoretical research cannot always be published in Science and Nature?
...
The next day, carrying a laptop, Lu Zhou went to the office of the Advanced Research Institute.
Putting the laptop on the table and opening it, Lu Zhou looked at Wei Wen, who was sitting on the side of the office.
"Wei Wen."
"What's the matter?" Wei Wen pushed his glasses, brushing his knowledge of the literature to compensate for partial differential equations, looked up, and cast a look at Lu Zhou for inquiries.
Lu Zhou beckoned: "Look at this paper."
Full of doubts, Wei Wen stopped the pen in his hand, got up and walked beside Lu Zhou, looking at the paper on the screen.
It turned out that for a long time there was no response.
Wei Wen: "..."
Seeing that he hadn't responded for a long time, Lu Zhou urged: "A cursory look is enough. Give me a comment?"
"I ..." Wei Wen opened his mouth and lowered his head heavily. "I don't understand."
Lu Zhou froze slightly and coughed softly: "It's okay, you simply give an opinion. Do you think it is more appropriate to publish in a mathematical journal, or it is more appropriate to publish in a physical journal."
Wei Wen was silent for a while and barely gave an answer.
"... then math."
Lu Zhou: "Why?"
Wei Wen said at once: "The length of calculation is longer than the length of discussion."
Lu Zhou: "..."
The reason is quite straightforward.
but……
Seems reasonable?
In terms of review difficulty, mathematical journals are relative to physical journals.
Lu Zhou thought about it, and finally thought it would be more appropriate to publish it in a mathematical journal.
As for which journal to choose ...
Based on the principle that fat and water do not flow to outsiders' fields, Lu Zhou, a professor of Pudong University, was naturally published in the Pudu University Journal.
Speaking of since he became a professor here, he has not contributed to the "Mathematics Yearbook" for a long time.
After posting the paper in an email, Lu Zhou sent the manuscript to the mailbox of the Editorial Department of the Annual Mathematics through the internal submission channel.
After finishing the submission, he shut down his laptop and went to the Princeton Plasma Physics Laboratory (PPPL).
The theoretical preparations are almost complete. What Lu Zhou needs to do now is the experimental problem.
...
Located in the corner of Princeton, this lawn-style modern minimalist building looks less impressive than a campus that has inherited the heritage of Oxford.
But in the field of controlled nuclear fusion, no one can ignore its influence.
If Lehman Spitzer provided a theoretical blueprint for controlling nuclear fusion, it is the laboratory's research team who turned this theoretical blueprint into engineering drawings.
From the beginning of the century, the establishment of the ITER International Cooperation Organization established a research framework for controllable fusion technology in scientific research institutions in various countries, and PPPL cooperated closely with the Max Planck Society in the research of stellarators.
Spiral 7-X, the world's largest stellar controlled nuclear fusion device, 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. .
Many people may not believe it. In addition to the basis of controlled nuclear fusion, scholars here seem to be unsatisfied with the constraints of deuterium and tritium plasma, and even research on xenon plasma accelerators.
If it is difficult to understand, you can imagine the Hall effect propeller on the spacecraft in the science fiction movies to produce plumes, and you probably understand what it is.
Because he had made an appointment in advance, Lu Zhou was in the lounge of the institute and soon met the person in charge here, Professor Sam Lazersson.
After listening to Lu Zhou's visit, Professor Lazersson smiled.
"Do you plan to design an experimental instrument for observing high-pressure plasma?"
"Yes." Lu Zhou nodded without denying.
Professor Lazersson smiled and looked at him and said, "This is not the same as a math problem, and it can't be made out of words."
"I know," Lu Zhou shrugged, "I just want to inquire about some technical matters."
Lazelsson didn't speak, but just gestured to Lu Zhou to continue.
It can be seen that he did not take Lu Zhou's "layman" letter seriously.
After all, if this thing is really solved so well, it won't be dragged on until now.
However, Lu Zhou did not care about the scornful attitude of the plasma expert and continued.
"Can I make a hypothesis, set up two ports on the plasma orbit, send an irrelevant particle to the deuterium and tritium plasma through the A port, and then recover the particles through the B port ... I want to know ~ www. EbookFREE.me ~ In theory, can such a design be achieved? "
Professor Lazersson stroked his chin and asked, "It sounds ... a little interesting, but what's the use of doing this?"
"It is difficult to directly observe the plasma at high temperature, but I think it is mathematically feasible by analyzing the particle's collision data and waveform changes to analyze its trajectory in the plasma."
With a slight frown, Professor Lazersson's face narrowed.
Gradually, his expression became serious, as if thinking about the possibility of this idea.
After a long time, Professor Lazerson said.
"I'm afraid the average particle won't work!"
"You're right," Lu Zhou nodded, and a smile arose at the corner of his mouth. "Its mass must be similar to that of tritium or deuterium, and it must be distinguished from the reactants and products in the DT reaction system. Recycle ... "
"And most importantly, it must be stable enough!"