Great Country Academician

Maybe it was stimulated by him and the liver exploded, or maybe the stuck problem was solved. In short, Fefferman completed the isomorphism conjecture much faster than Xu Chuan imagined.

In less than ten days after the three-person meeting in the dormitory, Professor Fefferman had already solved the isospectral problem using his own method.

The two sorted out the proof process and sent it out at the same time, and delivered it to the "Annual of Mathematics", and at the suggestion of Xu Chuan, they posted their results on the arxiv preprint website.

As a staged proof of the NS formula, even if it is just a small step, it is a great achievement.

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

As Fefferman said, the two of them managed to make a big deal.

After they threw the proof paper on the arxiv preprint website, after a period of fermentation, the entire mathematics community became lively.

Phased results of the NS equation, world-class mathematical conjectures, Xu Chuan, Fefferman, and simultaneous proofs.

Each of these words can be said to be the focus of attention in the mathematics world, but now they appear at the same time, and for a while, the mathematics world has caused another storm.

"Following the proof of Hodge's conjecture, Xu Chuan, the youngest full professor in Princeton, launched a charge for another mathematical conjecture."

"The two top mathematicians join forces, and the NS equation will usher in a day when it will be solved?"

"The NS equation can't be solved, and I bet you're doing a lot of work for nothing."

"But people have already solved it, and there are still two different methods."

"First of all, these two proofs have not yet been verified to be correct. Secondly, even if the verification is successful, it is only a phased result, and there is still a long way to go before the real solution of the NS equation."

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

"Have Princeton's mathematics professors been so terrified to solve the NS equation from two completely different angles? These are the seven millennium problems, and a century may not be able to solve a century problem."

"The Holy Land of Mathematics originally belonged to us in France, but Princeton snatched it!"

On the mathematics forum, related discussions are in full swing.

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

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

Under the framework of classical mechanics, the NS equation is the application of Newton's second law, and its core essence is the conservation of momentum.

And once there is a breakthrough in the N-S equation, it must be that human beings' ability to investigate finer structures has been greatly improved, at least to the extent that we can distinguish equations that we thought were very similar to the N-S equation in form.

It has nothing to do with whether the N-S equation is a good model in fluid mechanics. Its impact on the entire science will definitely include computational fluid dynamics, and its value is immeasurable.

Compared with the "Poincare Conjecture" and "Hodge Conjecture" that were solved before, the practical application of the NS equation in human technology is much larger in terms of the field that can be seen.

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

For example, cars, airplanes, and rockets are all related to fluid mechanics.

Princeton University Forrest Campus in New Jersey, USA.

The building of the PPPL Plasma Physics Laboratory is brightly lit in the dark, illuminating everything around it. In the acceleration laboratory with a large area, a large number of scientific research staff are busy here.

"Professor Fefferman, what do you think about our invitation?"

In a bright office, Halifax Bruce, the director of PPPL's ​​plasma laboratory, looked at another middle-aged and elderly man in an inch shirt sitting on the sofa with a smile on his face.

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

"Not to mention building a mathematical model for plasma turbulence, it is very difficult to build a mathematical model for ordinary turbulence."

Bruce: "Please believe me, we have made great progress in the turbulence model. Since October last year, we have been cooperating with Purdue University and have improved a lot on the original turbulence model."

Hearing this, Fefferman's eyes flashed with surprise.

Although Purdue University's ranking is not as high as that of Princeton, and its Department of Natural Sciences is also average, its engineering is very strong. It is not only the first university in the United States to have its own airport, but also the university that trains the most astronauts. Armstrong, the first person to land on the moon, graduated from Purdue University.

Moreover, more than one-third of NASA's missions have Purdue University or Purdue alumni participating, especially in aircraft design, with very rich experience.

The simulated eddy current model system applied to Boeing, Airbus and other large airlines, including some fluid dynamics of fighter jets such as F22 and F36, was designed by this university.

PPPL can find Purdue University to cooperate, it seems that this time it is really serious about solving the problem of plasma turbulence.

However, he still couldn't change his mind. Without it, plasma turbulence wouldn't be able to be solved now.

Shrugging, Fefferman continued: "Then you continue to cooperate with them. If there is nothing else, I will return to Princeton tomorrow."

Hearing this, Bruce said urgently: "We are doing this, but now we have encountered some troubles and need your help. The NS equation can solve many turbulence problems, and your research on the NS equation can be said to be the world's first. one person."

Fefferman smiled and said: "It is true that the NS equation can be applied to fluid mechanics, but if you want to use it to complete your turbulence model, unless you can fully prove it, otherwise it is impossible. "

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

After finishing speaking, he went out with his mobile phone, and Fefferman didn't care in the office.

Although PPPL is also a research institution of Princeton, no one stipulates that Princeton professors must work for PPPL laboratories.

In his opinion, it is enough to think about building a mathematical model for plasma turbulence in a controllable nuclear fusion reactor, and it is completely unnecessary to waste time on this.

At least for the time being, unless the NS equations can be solved, or there is a huge improvement in other respects.

Otherwise, it is almost impossible to model high-temperature plasma turbulence.

The PPPL laboratory is not the only one in the world to study this thing. Whether it is the ITER international cooperation organization or the own research laboratories of various countries, they have all studied this aspect.

However, the result is that decades later, people still cannot 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 the phased results that he and Xu Chuan have advanced.

He suggested that dreaming at night is more convenient and quicker.

"Come with me, Professor Fefferman."

Within two minutes, Bruce came back and invited Fefferman to go to other places together.

Fefferman followed. He is also a researcher at Princeton, so he still needs to give some face, and he also wants to see what PPPL is doing.

The two turned a few turns, and after two permission checks, they entered a laboratory.

"Kyle, call in a copy of our latest experimental data and a data confidentiality agreement."

Entering the laboratory, Bruce instructed a staff member inside.

"OK."

Not long after, a tablet was handed over and handed over to Bruce, along with an agreement.

"Professor Fefferman, before you read the information in my hand, please sign your name on it."

"Of course, it's just a very routine non-disclosure agreement, as long as you don't disclose the information you read today."

Bruce handed over the documents and pen in his hand, Fefferman frowned slightly, and reached out to accept the non-disclosure agreement.

It has to be said that Bruce really aroused his curiosity now.

After browsing through the non-disclosure agreement in his hand, after confirming that there was nothing wrong with it, he signed his name in the signature column.

After handing back the non-disclosure agreement, he took the tablet and opened it to read it.

Suddenly, as if seeing something of interest, Fefferman's eyes narrowed, and he raised his head and asked, "Is there any manuscript paper? Please give me a copy."

Taking the manuscript paper from Bruce, Fefferman found a place to sit down, and then began to use the data on the screen to calculate.

After a long time, he put down the ballpoint pen in his hand, looked at Bruce beside him and said, "I didn't expect you to advance the control of turbulent flow to this point, and the control temperature of ion temperature gradient turbulent flow can reach nearly tens of millions."

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

"However, if you want to continue to push forward, it should not be so easy. The higher the temperature, the stronger the diffusion effect of plasma turbulence. I am afraid that if the temperature exceeds 15 million degrees, your control system will fail."

Fefferman handed back the tablet in his hand.

Ion temperature gradient turbulence is only a part of controllable nuclear fusion turbulence. In addition, there are ion acoustic turbulence, drift wave turbulence, Alfven wave turbulence, and other messy turbulence.

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

And if the first one is solved, enough experience can be provided for the other turbulent flows later, and the processing will be much simpler.

It's just that this thing is really not so easy to solve.

Even if the PPPL laboratory and Purdue University have pushed it to the temperature level of tens of millions, it has only brought a glimmer of hope.

Of course, this glimmer of hope was enough to keep them fighting.

Bruce grinned: "Yes, we have encountered a bottleneck now, and we need a top mathematician to help us solve this problem, and you are the most suitable."

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

"Maybe we can use this to control all plasma turbulence?"

Fefferman smiled and said: "I am very moved by the data you provided, but I am afraid I can't do it alone. I need a helper. If he helps, maybe it can be done."

"Who?" Bruce asked quickly.

Fefferman: "The person who studied NS equations with me, his understanding of NS equations is not weaker than mine, it can even be said to be stronger than mine, and he has also done deep research in the field of partial differential equations. If there is him With help, it might be possible.”

"Xu Chuan? That rising star genius from Princeton?" Bruce responded immediately.

Fefferman nodded: "Yes."

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, this age"

Bruce didn't finish his sentence, so he interrupted himself: "Of course, if you need his help, Professor, I will find a way to invite him over."

Fefferman waved his hand and said: "Let me ask his opinion first to see if he is interested. If he is not interested, I am afraid you will not be able to invite me."