Scholar's Advanced Technological System Chapter 375


Chapter 375 In Progress Navierstokes Equations Results

Translator:Henyee TranslationsEditor:Henyee Translations

Ever since Lu Zhou arrived in Princeton, he discovered how normal grinding was.

Deligne had always criticized him for his work and lifestyle. However, Lu Zhous desire to solve problems made him this way.

This often reminded him of his high school life.

Whenever he came across a mathematics problem that he couldnt solve, he would always become obsessed with the problem. He wouldnt even eat until he had solved the problem.

He had always had this desire to explore the unknown.

Lu Zhou finally completed his thesis at the end of October.

Lu Zhou looked at the stacks of paper on his desk and smiled.

He felt nostalgic at the feeling of solving pure mathematics problems.

Lu Zhou turned on the computer and opened a Word document. He began transferring his work into the computer.

[The Existence of Smooth Solutions of 3D Incompressible Navier-Stokes Equations with Specific Initial Values]

Lu Zhou typed the title and began writing the abstract. He made a summary of his work.

Simply put, he set the initial value of a certain condition and used aPDE1method to prove the existence of a smooth solution to the three-dimensional incompressible Navier-Stokes equations, under the case.

Prior to this, the study of the existence of the smooth solution of the three-dimensional incompressible Navier-Stokes equations assumed that the initial value of the fluid motion region was small.

As for the existence of the smooth solution to the NavierStokes equations when the initial value was large, it was still a mystery.

In some sense, Lu Zhou was adding onto the foundation. He made another step forward to the Millennium Prize Problems.

Interestingly enough, Lu Zhou didnt intend to go after the Millennium Prize Problems, he only followed Old Qius advice to create a theoretical tool.

Now, not only did he create the theoretical tool, but he also made an in-progress result of the NavierStokes equations problem.

This was related to the Millennium Prize Problems. Therefore, the significance of this research wasnt small.

Lu Zhou was in a dilemma.

Should I post this in a mathematics journal or a physics journal?

This is a problem worth considering.

Its purely theoretical, I cant post it on Science or Nature, right?

The next day, Lu Zhou brought his laptop to his Institute for Advanced Study office.

He placed his laptop on the table and opened it. He looked at Wei Wen, who was on the other side of the office.

Wei Wen.

What? Wei Wen adjusted his glasses. He was studying partial differential equations when he heard Lu Zhou.

Lu Zhou waved his hand and said, Look at this thesis.

Wei Wen was confused. He stopped writing and walked to Lu Zhou. He looked at the thesis on the laptop screen.

He didnt react for a long time.

Wei Wen:

When Lu Zhou saw that he didnt react, he said, Just roughly look over it, what do you think?

I Wei Wen lowered his head and said, Dont understand.

Lu Zhou coughed and said, Thats fine, just give me an opinion. Do you think its better to post it on a mathematics journal or a physics journal?

Wei Wen went silent for a while before he responded hesitantly, Mathematics should be good.

Lu Zhou asked, Why?

Wei Wen said, The calculation part is longer than the discussion part.

Lu Zhou:

Thats straightforward.

However

This does seem to make sense?

Mathematics does have more calculations than physics.

Lu Zhou thought for a bit and decided on a mathematics journal.

As for which journal

Lu Zhou was a Princeton professor, he obviously was going to submit to the Princeton University Journal.

He hadnt submitted to the Princeton Annual Mathematics journal in a while.

Lu Zhou attached the thesis to his email and sent the thesis to the Annual Mathematics editorial department.

After that, he closed his laptop and went to the Princeton Plasma Physics Laboratory(PPPL).

The theoretical work was nearly complete, Lu Zhou now had to work on the experiment.

A modern minimalist-style building surrounded by grass was located in the town of Princeton. It looked ugly compared to the Oxford-style Princeton University buildings.

However, no one could undermine its influence in the nuclear fusion field.

If Lyman Spitzer was able to provide a theoretical blueprint for people to achieve controlled nuclear fusion, then this laboratory was responsible for realizing the blueprint.

Since the beginning of the century, ITER established a framework for various research institutes in the field of controlled nuclear fusion technology. PPPL had been working closely with the Max Planck Institute on research for the stellarator.

The worlds largest prototype stellarator nuclear fusion device, the Wendelstein 7-X, was built with the help of PPPL. PPPL also cooperated with several other major nuclear fusion research groups around the globe.

Most people didnt believe that in addition to controllable nuclear fusion, the researchers here also dealt with neon plasma and even helium plasma accelerators.

Imagine the rocket spacecraft thrusters in Sci-fi movies, that was what they were researching.

Lu Zhou made an appointment in advance and waited in the research institute lounge. Soon after, he saw the head of the laboratory, Sam Lazerson.

When Professor Lazerson heard Lu Zhous request, he smiled.

You plan on designing an experiment to observe high-temperature plasma?

Lu Zhou nodded. Yes.

Professor Lazerson smiled and said, This is different than mathematics, its not that simple.

I know, Lu Zhou shrugged and said, I only want to consult on some technical issues.

Lazerson didnt say anything; he wanted Lu Zhou to continue.

It was obvious that Lazerson treated Lu Zhou as a non-expert.

After all, if this thing was that easy, someone would have solved it by now.

However, Lu Zhou wasnt fazed by the plasma experts attitude, and he continued to speak.

Hypothetically speaking, can we place two ports of plasma on the track and deliver an extraneous particle to the helium and neon plasma through the A port, then recycle the particles through the B port Is this possible in theory?

Professor Lazerson touched his chin as he replied, This does sound interesting, but what is the use of this?

Its difficult to directly observe plasma at high temperatures, but it is mathematically feasible to analyze the trajectories of the plasma colliding with particles.

Professor Lazerson squinted his eyes, and he didnt look as condescending as before.

His expression gradually became more and more serious, like he was thinking about the possibility of this idea.

After a long time, Professor Lazerson finally said, Ordinary particles wont work!

Youre right. Lu Zhou nodded and smirked as he said, Its mass must be the same as tritium or similar, so it can be distinguished from the reactants and products.

Also the most important thing is that it must be stable!