Chapter 205: Plasma Turbulence

Maybe it was stimulated by him and he started to burst his liver, or maybe the stuck problem was solved. In short, Feverman completed the isospectral nonisomorphic conjecture much faster than Xu Chuan imagined.

In less than ten days after that three-person dormitory meeting, Professor Feverman had already solved the problem of equivalence using his own methods.

The two of them sorted out the proof process and sent it to the Annals of Mathematics, and at the suggestion of Xu Chuan, they posted their results on the arxiv preprint website.

As a phased proof of the NS equation, even a small step is a great achievement.

What's more, this phased proof also contains a world-class mathematical conjecture.

As Peverman said, the two of them managed to get out big.

After a period of fermentation after they threw the proof paper on the arxiv preprint website, the entire mathematical community was buzzing.

The phased results of the NS equation, the world-class mathematical conjecture, Xu Chuan, Fefferman, and the simultaneous proof......

Each of these words can be said to be the object of attention in the mathematical community, but now they appear at the same time, and for a while, the mathematical community has set off a storm.

"After proving the Hodge conjecture, Xu Chuan, the youngest full professor at Princeton, charged with another mathematical conjecture."

"Two top mathematicians join forces, and the day will the NS equation be solved?"

"The NS equation is unsolvable, and I bet it's useless to work toward it."

"But they've already unraveled it, and it's two different ways."

"First of all, these two proofs have not been verified to be correct, and secondly, even if the verification is successful, it is only a phased achievement, and it is still a long way from truly solving the ns equation."

"I can smell the sour smell upstairs across the Atlantic."

"Solving the ns equation from two completely different angles, are the mathematics professors at Princeton already so terrifying? These are the seven millennial problems, and one century may not solve one century. ”

"The Holy Land of Mathematics was originally ours in France, and it was snatched by Princeton!"

At the math forum, the discussion was in full swing.

Even the physics next door, some people have set their eyes on it.

After all, this is the NS equation, and if it is solved, fluid mechanics will usher in a leap forward.

Within the framework of classical mechanics, the N.S. equation is an application of Newton's second law, the core essence of which is the conservation of momentum.

Once there is a breakthrough in the n-s equation, it will inevitably be a great increase in the ability of human beings to investigate finer structures, at least to the extent that they can distinguish equations that we thought were very similar in form to the n-s equation in the past.

It doesn't matter whether the n-s equation is a good model in fluid mechanics or not, and the impact it brings to the whole science will definitely include computational fluid dynamics, and the value is immeasurable.

Compared with the previously solved 'Poincari conjecture' and 'Hodge conjecture', the NS equation is much larger in the practical application of human science and technology.

Because fluid mechanics involves too many fields in physics and in the development of science and technology.

For example, cars, airplanes, rockets, all of these things have to do with fluid mechanics.

......

Princeton University's Forrest Campus in New Jersey.

The building of the PPPL Plasma Physics Laboratory is lit up in the dark, illuminating everything around it, and the huge acceleration laboratory is busy with a large number of scientific staff.

"Professor Feverman, I wonder what you're thinking about our invitation?"

In a brightly lit office, Halifax Bruce, the director of the PPPL plasma lab, looked at another middle-aged and elderly man in a small shirt sitting on the sofa with a smile on his face.

Feverman looked up at the middle-aged man and said, "I'm not interested in your invitation. ”

"It's very difficult to build a mathematical model for plasma turbulence, let alone for plasma turbulence."

Bruce: "Trust me, we've come a long way on the turbulence model, and we've been working with Purdue University since last October, and we've improved on the original turbulence model. ”

Hearing this, a hint of surprise flashed in Peverman's eyes.

Although Purdue's ranking is not as high as Princeton's, and its natural sciences department is average, it has a strong engineering program. Not only is it the first university in the United States to have its own airfield, but it is also the university that trains the most astronauts, and Armstrong, the first person to land on the moon, graduated from Purdue University.

And more than one-third of NASA's missions are involved in Purdue University or Purdue alumni, especially in aircraft design, which has very rich experience.

The university designed some of the fluid power of the simulated eddy current model system used in large airlines such as Boeing and Airbus, including the F22 and F36 fighters.

PPPL was able to find Purdue University to cooperate, and it seems that this time the solution to the plasma turbulence problem is indeed serious.

However, he still couldn't change his mind, without it, plasma turbulence was not something that could be solved now.

Shrugging his shoulders, Feverman continued, "Then you go ahead and work with them, and if nothing else, I'll be back to Princeton tomorrow." ”

Hearing this, Bruce said with some urgency: "We are doing this, but now we are in some trouble and need your help, the NS equation can solve a lot of turbulence problems, and your research on the NS equation can be said to be the first person in the world." ”

Feverman smiled and said, "It's true that the ns equation can be applied to fluid mechanics, but if you want to use it to complete your turbulence model, it's impossible unless you can prove it in its entirety." ”

Gritting his teeth, Bruce took out his phone from his pocket and said, "Please wait a minute, I'll make a call." ”

After saying that, he took his phone and went out, and in the office, Feverman didn't care.

Although PPPL is also a research institute at Princeton, no one has mandated that professors at Princeton must work for the PPPL laboratory.

In his opinion, it is enough to build a mathematical model of plasma turbulence in a controlled nuclear fusion reactor, and it is completely unnecessary to waste time on this.

At least for the time being, unless the ns equation can be solved, or otherwise there is a huge improvement.

Otherwise, it would be nearly impossible to model high-temperature plasma turbulence.

There is not only a PPPL laboratory in the world that has studied this thing, whether it is the ITER international cooperation organization or the research laboratories of each country itself, they have studied this kind of thing.

As a result, decades later, people still can't restrain the ultra-high temperature plasma turbulence in controlled nuclear fusion.

If the ns equation is solved, he may still want to try it, but for now, it depends on this phased result that he and Xu Chuan have promoted.

He suggested that dreaming at night was more convenient and quick.

......

"Please follow me, Professor Feverman."

Within two minutes, Bruce was back and invited Peverman to go with him.

Peverman followed, also a Princeton researcher, and he still had to give this face, and he also wanted to see what PPPL was doing.

The two made a few turns, and after two clearance checks, entered a laboratory.

"Kyle, get a copy of our latest lab data and a data confidentiality agreement."

Entering the lab, Bruce instructed one of the staff inside.

"Okay."

A short time later, a tablet was handed over to Bruce, along with an agreement.

"Professor Feverman, please sign your name on the materials I have before you look at them."

"Of course, it's just a very regular non-disclosure agreement, as long as you don't divulge what you're looking at today."

Bruce handed over the papers and pen in his hand, and Feverman frowned slightly and reached out to take the non-disclosure agreement.

I have to say that Bruce did arouse his curiosity at this moment.

After skimming through the non-disclosure agreement in his hand and making sure that there was nothing wrong, he signed his name in the signature field.

After handing back the non-disclosure agreement, he took the tablet, clicked on it and flipped through it.

Suddenly, as if he saw something of interest, Feverman's eyes condensed, and he looked up and asked, "Is there any manuscript paper?" Please give me a copy. ”

Taking the paper from Bruce's hand, Fefferman found a place to sit down, and began to use the data on the screen to do the calculations.

After a long time, he put down the ballpoint pen in his hand, looked at Bruce on the side, and said, "I didn't expect you to advance the control of turbulence to this point, and the control temperature of ion temperature gradient turbulence can reach nearly 10 million levels. ”

Hearing this, Bruce said with a smile: "This is our latest achievement, and it will not be released for the time being, so I hope the professor will keep it secret." ”

"But if you want to continue to push forward, it shouldn't be so easy, the higher the temperature, the stronger the diffusion effect of ion turbulence will be, I'm afraid that if the temperature exceeds fifteen million degrees, your control system will fail."

Feverman handed the tablet back in his hand.

Ion temperature gradient turbulence is only one part of the controlled nuclear fusion turbulence, in addition to the ion-acoustic wave turbulence, drift wave turbulence, Alphen wave turbulence.... and all kinds of messy turbulence.

But if you can solve some of it, it will undoubtedly be a huge success.

And having the first one to be solved can provide enough experience for other turbulences to follow, and then deal with it, it is much simpler.

It's just that this thing really isn't that easy to solve.

Even if the PPPL laboratory and Purdue University pushed it to the temperature level of 10 million, it only brought a faint glimmer of hope.

Of course, that glimmer of hope was enough for them to keep going.

Bruce grinned, "Yes, we're at a bottleneck right now, and we need a top mathematician to help us solve this problem, and you're the best fit." ”

"I believe that with your participation, we can make the control system of ion temperature gradient turbulence more perfect, and then it will not be limited to 10 million degrees, maybe 20 million, 30 million, or more."

"Maybe we'll be able to control all the plasma turbulence?"

Feverman smiled and said, "I am very impressed by the data you provided, but I am afraid that I can't do it alone, I need a helper, if there is his help, maybe I can." ”

"Who?" Bruce asked quickly.

Feverman: "The person I studied with the NS equation is not weaker than me, if not better than me, and has a deep study in the field of partial differential equations, and if he helps, he may be able to do it." ”

"Xu Chuan? That rising star genius at Princeton? Bruce reacted immediately.

Feverman nodded, "Hmm." ”

Hearing this, Bruce frowned and said, "But I remember that he seems to be a Chinese, right?" It is impossible for a Chinese to join our research, and he is only twenty years old, which is ....... age."

Bruce didn't finish his sentence before he interrupted himself, "Of course, if the professor needs his help, I'll find a way to invite him over." ”

Feverman waved his hand and said, "I'll ask him for his opinion first, and see if he's interested, if he isn't, I'm afraid you won't be able to invite him." ”

.......