Scholar’s Advanced Technological System

Chapter 375: Phased results of the NS equation (3/3)

Since the time of Princeton, Lu Zhou suddenly found that exploding the liver seems to be a common thing for himself.

Although Deligne always criticized him for his work and life, he was joking with health. But in fact, even if Lu Zhou did not do this deliberately, the desire to solve the problem would prompt him to do so.

This feeling often reminds him of his high school life.

When I came across a math problem that couldn't be solved, I always felt it was awkward in my heart. If I couldn't solve it, I didn't even have the motivation to go to the cafeteria.

In essence, this desire to explore the unknown seems to be the same?

The paper was finally completed when the tail of October was about to slip away.

Looking at the stack of papers on the table, Lu Zhou mouth evoked a smile.

The long-lost return to the study of purely mathematical problems, this feeling is still quite worthy of his memory.

Turn on the computer, Lu Zhou began to edit the document, and input his work from this time into the computer.

"Study on the Global Existence of Smooth Solutions of 3D Incompressible navier-stokes Equations with Specific Initial Values"

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

In simple terms, he sets the initial value that satisfies the specific condition a, and uses the pde method to prove the global existence of the smooth solution of the three-dimensional incompressible navier-stokes equation under the "a case" and the satisfaction of some specific conditions. Smoothness.

Prior to this, the study of the global existence of the smooth solution of the three-dimensional incompressible navier-stokes equation only advances to the assumption that under certain assumptions that the given initial value is appropriately small or the fluid motion region is appropriately small, ns The existence of the overall smooth solution of the equation".

As for the overall existence of the smooth solution of the ns equation when the initial value is infinite smooth and has a tight support set, it is still a mystery.

In terms of popular language, Lu Zhou’s work is based on this, and it is a step forward in the pursuit of the “seven major problems”.

It is also very interesting to say. At first, Lu Zhou did not go to solve this millennium problem. It was only based on Mr. Qiu’s suggestion to set a staged goal. While moving toward this goal, it was necessary to solve the problem. Theoretical tool.

Now that the theoretical tools have been created, the result is not only the creation of theoretical tools, but also a phased result of the problem of the ns equation.

And because of the big proposition of the millennium problem, the weight of this research is not small.

However, at this time, Lu Zhou was somewhat guilty.

Is this stuff good in physics journals or in mathematics journals?

This is a question worth considering.

Research on purely theoretical aspects can't still be published in Science and Nature.

......

The next day, carrying a laptop, Lu Zhou went to the office of the Institute of Advanced Studies.

Putting the laptop on the table, Lu Zhou looked at Wei Wen, who was sitting on the side of the office.

"Wei Wen."

"What?" Pushed the glasses, Wei Wen, who was brushing the knowledge of the partial complement differential equations in the literature, looked up and cast a line of sight to Lu Zhou.

Lu Zhou recruited and waved: "Let's take a look at this paper."

With a question full of stomachs, Wei Wen stopped the pen in his hand and got up and walked to the side of Lu Zhou, looking at the paper on the screen.

The result is that it has not been responded for a long time.

Wei Wen: "..."

Seeing him for a long time did not respond, Lu Zhou urged: "A rough look is enough, give an evaluation?"

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

Lu Zhou squatted slightly and coughed softly: "Nothing, you simply give an opinion. You think it is more appropriate to send a mathematics journal, or to apply it in a physical journal."

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

"...then math."

Lu Zhou: "Reason?"

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

Lu Zhou: "..."

This reason is really straightforward.

but……

It seems a bit reasonable?

In terms of the difficulty of reviewing, mathematical journals are relative to physical journals.

Lu Zhou thought about it and eventually felt that it was more appropriate to publish it in a mathematical journal.

As for which journal to choose...

In line with the principle that Feishui does not flow outside the field, Lu Zhou, a professor of the University of Pu Da, is naturally published in the Pu Da University Journal.

After talking about the professor who has been from here, he has not contributed to the "Year of Mathematics" for a while.

The paper was posted in the mail, and Lu Zhou sent the manuscript to the email address of the editorial department of the Mathematics Yearbook through the internal submission channel.

After the submission was completed, he shut down his laptop and went to the Princeton Plasma Physics Laboratory (pppl).

The theoretical preparation work has almost been completed. What Lu Zhou needs to fix now is the experimental problem.

......

Located in the corner of Princeton Town, this modern minimalist-style building surrounded by lawns looks ugly compared to the campus that inherited the Oxford legacy.

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

If Lehman Spitzer is to provide a theoretical blueprint for people to achieve controllable nuclear fusion, then the theoretical blueprint for engineering blueprints is the research team of the laboratory.

Since the beginning of the century, the iter international cooperation organization has been established, and the research framework of scientific research institutions for controlled nuclear fusion technology has been established. pppl has cooperated closely with the Max Planck Society in the research of the satellite.

The world's largest pseudo-star controlled nuclear fusion device "spiral stone 7-x" is the technical service provided by pppl. At the same time, pppl also maintains close cooperation with several major controllable nuclear fusion research units in the world. .

Many people may not believe that, in addition to the basis of controllable nuclear fusion, scholars here seem to be dissatisfied with the constraints of helium and neon plasma, and even research on helium plasma accelerators.

If it's hard to understand, imagine the sci-fi movies in the spacecraft's Hall effect thruster generating plumes, probably understanding what it is.

Because of the appointment in advance, Lu Zhou was in the lounge of the institute and soon saw the head of the museum, Professor Sam Razerson.

After listening to Lu Zhou’s intentions, Professor Lazelson smiled.

“Are you going to design an experimental instrument for observing high temperature plasmas?”

"Yes." Without denying, Lu Zhou nodded.

Professor Lazelson smiled and looked at him. "This is different from mathematics. It can be made without talking about it."

"I know," Lu Zhou shrugged. "I just want to consult some technical things."

Lazerson did not speak, but used his eyes to indicate Lu Zhou to continue.

It can be seen that he did not take the letter of the "outer traveler" of Lu Zhou as a matter of course.

After all, if this thing is really solved so well, it will not be dragged on now.

However, Lu Zhou did not care about the attitude of the plasma expert, and continued.

“Can I make a hypothesis by placing two ports on the plasma track, delivering an extraneous particle to the helium and neon plasma through the a port, and recycling the particles through the b port... I want to know, in theory Can such a design be realized?"

Professor Lazelson touched his chin and asked: "This sounds...somewhat interesting, but what is the use of this?"

“It is difficult to directly observe the plasma at high temperature, but it is mathematically feasible to analyze the trajectories of the particles in the plasma by colliding with the particles and changing the waveform.”

Frowning slightly, Professor Lazerson's face converges on the contemptuous expression.

Gradually, his expression began to be serious and seemed to be the possibility of thinking about this idea.

After a long time, Professor Lazerson spoke.

"Ordinary particles may not work!"

"You are right," Lu Zhou nodded, and his mouth twitched with a smile. "It must be of similar quality to 氚 or ,, and distinguish it from the reactants and products in the dt reaction system, and it is easy to observe and Recycling..."

"And the most important thing is that it must be stable enough!"

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