Since coming to Princeton, Lu Zhou suddenly found that liver bursts seemed to be a common thing for him.

Although Déligne always criticized him for making a joke about his health, in fact, even if Lu Zhou did not do it deliberately, his desire to solve problems would have prompted him to do so.

This feeling often reminds him of his high school life.

When I encounter a math problem that I can't solve, I always feel like a pimple in my heart, and if I can't solve it, I don't even have the motivation to go to the cafeteria to eat.

In essence, 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 papers written on the table, the corners of Lu Zhou's mouth hooked up a comfortable smile.

After a long absence, he returned to the study of purely mathematical problems, and this feeling still made him nostalgic.

Turning on the computer, Lu Zhou began to edit the document and input his work for this period of time into the computer.

"Study on the Global Existence of Smooth Solutions of Three-Dimensional Incompressible Navier-Stokes Equations at Specific Initial Values"

After knocking out a line of headings, Lu Zhou began to edit the summary of the full text, and made a summary description of the work since this time.

To put it simply, he used the PDE method to prove the overall existence of the smooth solution of the three-dimensional incompressible Navier-Stokes equation in the "α case" by setting an initial value that satisfies the α of certain conditions, and satisfying the smoothness under some specific conditions.

Prior to this, the study of the overall existence of the smooth solution of the three-dimensional incompressible Navier-Stokes equation had only advanced to the stage of "the existence of the overall smooth solution of the NS equation under the assumption that a certain norm of a given initial value is appropriately small or the fluid motion region is appropriately small".

As for the overall existence of the smooth solution of the NS equation when the initial value is infinitely smooth and has a tight branch, it is still a mystery.

In layman's terms, the work done by Lu Zhou is on this basis, and it is a step forward towards solving the "Seven Millennium Problems" of Mount Everest.

It is also quite interesting to say that at the beginning, Lu Zhou did not rush to solve this millennial problem, but set a phased goal according to Mr. Qiu's suggestion, and polished the theoretical tools to solve the problem while moving towards this goal.

Now that the theoretical tool has been created, the result is not only the creation of the theoretical tool, but also the problem of the NS equation without intention.

And because it is related to the big proposition of the millennial problem, the weight of this research result is not small.

However, at this time, Lu Zhou was a little difficult.

Is it better to publish this thing in a physics journal or a mathematics journal?

This is a question worth pondering.

Purely theoretical research can't still be published in Science and Nature, right?

……

The next day, with his laptop on his back, Lu Zhou went to the office at the Institute for Advanced Study.

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?" Pushing his glasses, Wei Wen, who was brushing up on the knowledge of partial differential equations in the literature, raised his head and cast an inquiring gaze at Lu Zhou.

Lu Zhou beckoned: "You come and see this paper." ”

With a stomach full of questions, Wei Wen stopped the pen in his hand, got up and walked to Lu Zhou's side, and looked at the paper on the screen.

As a result, there was no reaction for a long time.

Wei Wen: "......"

Seeing that he didn't react for a long time, Lu Zhou urged: "It's enough to take a cursory look, give an evaluation?" ”

"I ......" Wei Wen opened his mouth and lowered his head heavily, "I don't understand." ”

Lu Zhou was slightly stunned and coughed lightly: "It's okay, you can simply give an opinion, do you think it is more appropriate to publish it in a mathematics journal, or it is more appropriate to publish it in a physics journal." ”

Wei Wen was silent for a while, and reluctantly gave an answer.

“…… Let's do the math. ”

Lu Zhou: "Reason? ”

Wei Wen immediately said: "The length of the calculation is more than the length of the discussion. ”

Lu Zhou: "......"

The reason is really straightforward.

But......

Seems to make some sense?

In terms of review difficulty, mathematics journals are relative to physics journals.

Lu Zhou thought about it, and finally felt that it would be more appropriate to publish it in a mathematics journal.

As for which journal to choose......

In line with the principle that fertile water does not flow into the fields of outsiders, Lu Zhou, as a professor of the University of Liberal Arts, is naturally published in the school magazine of the University.

Speaking of which, since he became a professor here, he hasn't submitted to the Annals of Mathematics for a long time.

After pasting the paper into the email, Lu Zhou sent the manuscript to the mailbox of the editorial department of the Annals of Mathematics through the internal submission channel.

Once the submission was done, he closed his laptop and headed to the Princeton Plasma Physics Laboratory (PPPL).

The theoretical preparations are almost complete, and what Lu Zhou needs to solve now is the experimental problem.

……

Situated in a corner of the town of Princeton, this modern, minimalist building surrounded by lawns is less impressive than the Oxford-inspired campus next to it.

But in the field of controlled nuclear fusion, no one can ignore its influence.

If Lyman Spitzer provided a theoretical blueprint for controlled nuclear fusion, it was the laboratory's research team that turned this theoretical blueprint into engineering drawings.

Since the beginning of the century, the ITER International Cooperation Organization has been established to establish a research framework for controlled nuclear fusion technology in scientific research institutions in various countries, and PPPL has been working closely with the Max Planck Society in Germany on the research of stellarators.

The world's largest stellarite controllable nuclear fusion device "Spiral Stone 7-X" is a technical service provided by PPPL, and PPPL also maintains close cooperation with several major controlled nuclear fusion research units in the world.

Many people may not believe it, but in addition to the basis of controlled nuclear fusion, scholars here seem to be no longer satisfied with the constraints of deuterium and tritium plasma, and even have research on xenon plasma accelerators.

If it's hard to understand, imagine those sci-fi movies where Hall-effect thrusters on spaceships produce plumes, and you'll probably understand what it is.

Because of the appointment in advance, Lu Zhou was in the lounge of the institute and quickly met the head of the place, Professor Sam Lazersson.

After listening to Lu Zhou's intentions, Professor Lazersson smiled.

"You're going to design an experimental instrument for observing high-temperature pressure plasma?"

"Yes." Without denying it, Lu Zhou nodded.

Professor Lazersson smiled, looked at him and said, "It's not like a math problem, it's not something that can be made by talking. ”

"I know," Lu Zhou shrugged, "I just wanted to consult about some technical things." ”

Lazersson didn't speak, but just motioned with his eyes to Lu Zhou to continue.

It can be seen that he didn't take Lu Zhou, a "layman", seriously.

After all, if this thing had been so easy to solve, it wouldn't have dragged on until now.

However, Lu Zhou didn't care about the plasma expert's contemptuous attitude and continued.

"Can I make a hypothesis that there are two ports in the plasma orbit, and an unrelated particle is sent to the deuterium and tritium plasma through port A, and then the particle is recovered through port B...... I wonder, in theory, is it possible to achieve such a design? ”

Professor Lazersson touched his chin and asked, "That sounds ...... It's kind of interesting, but what's the use of doing it? ”

"It is difficult to directly observe the plasma at high temperature pressure, but I think it is mathematically feasible to analyze the trajectory of the particle in the plasma by analyzing the waveform changes of the particle collision data."

Frowning slightly, Professor Lazersson's face retracted a look of contempt.

Gradually, his expression became serious, as if he was thinking about the possibility of this line of thought.

After a long time, Professor Lazersson spoke.

"I'm afraid ordinary particles can't do it!"

"You're right," Lu Zhou nodded, a smile on the corner of his mouth, "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 at the same time be easy to observe and recover......"

"And most importantly, it has to be stable enough!"

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