Ever since he came to Princeton, Lu Zhou suddenly realized that working hard was a normal thing for him.
Even though Deligné always criticized him for putting his health at risk, even if Lu Zhou didn't do it on purpose, his desire to solve problems would still drive him to do it.
This feeling often reminded him of his high school life.
Whenever he encountered a mathematics problem that he couldn't solve, he would feel like there was a knot in his heart. If he couldn't solve it, he wouldn'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?
Just as October was about to end, Lu Zhou finally completed his thesis.
As Lu Zhou looked at the stack of papers on his desk, he had a smile on his face.
It had been a long time since he was able to return to pure mathematics research. This feeling was quite nostalgic.
Lu Zhou turned on his computer and began to edit a document. He entered his work into his computer.
[Global Existence of Smooth Solutions to the 3D Incompressible Navier-Stokes Equation at Certain Initial Values]
After typing in a title, Lu Zhou began to edit the abstract of the thesis and gave a summary description of his work.
Simply speaking, by setting an initial value that satisfied a specific condition α, he used the PDE method to prove the global existence of smooth solutions for the three-dimensional incompressible Navier-Stokes equations in the "α case", as well as the smoothness under some specific conditions.
Prior to this, the research on the global existence of smooth solutions to the 3D Incompressible Navier-Stokes equation had only progressed to "the existence of a smooth solution to the 3D Incompressible Navier-Stokes equation under the assumption that the initial value is appropriately small or the fluid motion region is appropriately small".
As for the existence of a smooth solution to the 3D Incompressible Navier-Stokes equation, it was still a mystery.
In layman's terms, Lu Zhou's work was one step closer to solving the "seven Millennium Prize Problems".
Speaking of which, it was quite interesting. In the beginning, Lu Zhou did not aim to solve the Millennium Prize Problem. Instead, he followed Old Qiu's suggestion and set a phased goal. While working towards this goal, he would also polish his theoretical tools to solve the problem.
Now, the theoretical tool was created. Not only did he create the theoretical tool, but he also achieved an in-progress result on the Navier – Stokes equation.
Furthermore, because it was related to the Millennium Prize Problems, the weight of this research was not small.
However, at this moment, Lu Zhou was in a bit of a dilemma.
Should I publish this in a physics journal or a mathematics journal?
This is a question worth thinking about.
Pure theoretical research couldn't be published in Science or Nature, right?
…
The next day, Lu Zhou carried his laptop and went to his office at the Institute for Advanced Study.
Lu Zhou placed the laptop on the table and turned it on. He then looked at Wei Wen, who was sitting on the side of the office.
"Wei Wen."
"What?" Wei Wen adjusted his glasses and was studying partial differential equations. He raised his head and looked at Lu Zhou.
Lu Zhou waved his hand and said, "Take a look at this thesis."
Wei Wen had a stomach full of questions. He put down his pen and walked next to Lu Zhou. He then looked at the thesis on the screen.
However, he didn't react for a long time.
Wei Wen: "…"
Seeing how Lu Zhou didn't react, Lu Zhou said, "Just a quick look is enough. Give me an opinion?"
"I …" Wei Wen opened his mouth and lowered his head. He then said, "I don't understand."
Lu Zhou paused for a second and coughed. He then said, "It's okay, just give me an opinion. Do you think it's better to publish it in a mathematics journal or a physics journal?"
Wei Wen went silent for a second before he reluctantly gave an answer.
"… Then mathematics it is."
Lu Zhou: "What's the reason?"
Wei Wen immediately said, "The length of calculation is more than the length of discussion."
Lu Zhou: "…"
This reason was really straightforward.
But …
Does it make sense?
In terms of the difficulty of reviewing a thesis, a mathematics journal was much more difficult than a physics journal.
Lu Zhou thought for a bit and decided that it was more appropriate to publish it in a mathematics journal.
As for which journal to choose …
Since Lu Zhou was a professor at Princeton University, he would obviously publish it in the Princeton University journal.
Speaking of which, ever since he became a professor here, he hadn't submitted to Annual Mathematics for a long time.
Lu Zhou attached the thesis to his email and sent it to the Annual Mathematics editorial department through their internal submission channel.
After he finished submitting the thesis, he turned off his laptop and went to the Princeton Plasma Physics Laboratory (PPPL).
The theoretical preparations were almost complete. What Lu Zhou needed to do now was to solve the experimental problems.
…
Located in the corner of the small town of Princeton, this modern minimalist building surrounded by lawns looked ugly compared to the Oxford-style campus next to it.
However, no one could ignore its influence in the field of controllable nuclear fusion.
If Lyman Spitzer provided a theoretical blueprint for controllable nuclear fusion, then the research team at this laboratory was the one that turned this theoretical blueprint into an engineering blueprint.
Ever since the beginning of the 21st century, the ITER international cooperation organization was established. It established a research framework for controllable nuclear fusion technology in various countries. PPPL and the Max Planck Society in Germany began to closely cooperate on the stellarator research.
The world's largest stellarator controllable nuclear fusion device, the "Wendelstein 7-X", was provided by PPPL. At the same time, PPPL also maintained a close relationship with several major controllable nuclear fusion research units in the world.
Many people might not believe it, but in addition to the controllable nuclear fusion foundation, the scholars here were not satisfied with deuterium and tritium plasma constraints. They even researched xenon plasma accelerators.
If it was difficult to understand, one could imagine the plume of the Hall effect thrusters on spaceships in sci-fi movies, and they would have a rough idea of what kind of black technology it was.
Because Lu Zhou had an appointment beforehand, he soon met the person in charge, Professor Sam Lazerson, in the research institute lounge.
After Professor Lazerson heard about the purpose of Lu Zhou's visit, he smiled.
"You plan on designing an experimental instrument to observe high-temperature plasma?"
"Yes," Lu Zhou nodded.
Professor Lazerson smiled and looked at him as he said, "This is different from a mathematics problem. It's not something you can solve just by thinking about it."
"I know." Lu Zhou shrugged and said, "I just want to ask about some technical matters."
Lazerson didn't say anything. He only signaled Lu Zhou to continue.
It was obvious that he didn't take Lu Zhou's nonsense seriously.
After all, if this thing was that easy to solve, it wouldn't have taken so long.
However, Lu Zhou didn't care about this plasma expert's attitude. He continued to speak.
"Can I make a hypothesis? Set up two ports on the plasma track, use port A to deliver an irrelevant particle to the deuterium and tritium plasma, and then use port B to retrieve the particle … I want to know, theoretically, is this possible?"
Professor Lazerson rubbed his chin and said, "This sounds … interesting, but what's the point of doing this?"
"It's very difficult to directly observe high-temperature plasma, but I think it's mathematically feasible to analyze the particle's trajectory in the plasma by analyzing the particle's collision data and waveform changes."
Professor Lazerson furrowed his eyebrows and stopped looking at Lu Zhou.
Gradually, his expression became serious, as if he was thinking about the possibility of this idea.
After a long time, Professor Lazerson spoke.
"I'm afraid ordinary particles won't work!"
"You're right." Lu Zhou nodded and smirked. He said, "Its mass must be similar to tritium or deuterium, and it must be distinguished from the reactants and products in the DT reaction system. It must also be easy to observe and retrieve …"
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