Great Country Academician

"A Top Chinese Physicist's Complaint against the NS Equation, the IMU's Ignorance, and the Fields Medal's Omission! "

I have to say that the title is still very inductive.

NS equation, Chinese descent, top physicist, International Mathematical Union, Fields Medal

A series of keywords directly cover various popular fields such as the hottest NS equation in the scientific world, mathematics, and the Fields Medal.

Xu Chuan was also a little curious about what was written in this article.

Judging from the title, it seems that the scientific research results of top physicists have been ignored, but there are not many top Chinese physicists who can meet the standard of the seven millennium problems.

And this article was issued by the notorious "Washington Times", so there is a high probability that it is spreading rumors or fabricating exaggerations.

With a hint of curiosity, Xu Chuan continued to look down.

In this news report, "Washington Times" reporter Andrew Whitt tells the story of a Chinese-American physicist Jiang Kangcai.

In 2008, Professor Jiang proposed the energy gradient theory to study flow stability and turbulent transition through the study of viscoelastic flow stability in non-Newtonian flow. And based on this, using the energy gradient theory and the Navier-Stokes equation, it is proved that the singularity is here.

To put it simply, this Professor Jiang created a new set of physical theories.

In this theory, there are singularities on the NS equations in transitional flow and turbulent flow, and at these singularities, the flow variables are not differentiable, therefore, the equations have no solution at these singularities.

And because the equation has no solution at the singular point, even if the NS equation has solutions at other points in the domain, the NS equation does not have a smooth solution in the global domain.

Then, there was a conversation with a reporter from The Washington Times.

Andrew Whit: "Professor Jiang, I heard that you solved the NS equation in 2008? Is that so?"

Jiang Kangcai: "In theory, yes, I created my own theory to solve the NS equation, and proved that there is no smooth solution to the NS equation."

"And this 'proof that there is no smooth solution to the three-dimensional unsteady Navier-Stokes equation' has been published in the SCI journal."

Andrew Whitt: "That is to say, the mathematical community ignored your achievements and refused to award you the corresponding honor."

Jiang Kangcai: "I can't think of any other reasons. According to the definition of the NS equation by the Clay Mathematics Institute, the NS equation is the way to solve it, whether it proves the existence of a smooth solution or denies the existence of a smooth solution. .”

"Obviously, I have proved that smooth solutions to the NS equations cannot exist, but neither the Cray Mathematical Institute nor the International Mathematical Union have ignored my results."

Andrew Whitt: "I'm curious, if your theory is correct, why is this happening?"

Jiang Kangcai: "Perhaps this is because most mathematicians are stubborn or even stubborn and generally believe in the existence of smooth solutions to NS equations? They don't want to believe that NS equations have no smooth solutions, so they abandoned my thesis."

"Of course, in the field of mathematics, there are also those who do not believe in the existence of NS equations, such as Professor Terence Tao."

Andrew asked in surprise: "Professor Terence Tao supports your theory?"

Jiang Kangcai nodded and said, "That's right, that's right. In 2015, Professor Tao constructed an equation that was nearly equivalent to the original NS equation, and proved that this equivalent equation would explode within a limited time."

"This means that even in mathematics, the NS equation cannot have a smooth solution. Compared with most other mathematicians, Professor Tao is one of the few mathematicians who tend to support that the NS equation will explode. one."

"And the truth is often only in the hands of a few."

Andrew Whitt: "Does this mean that Professor Xu's proof of the NS equation is wrong?"

Jiang Kangcai: "I didn't say that, but my theory has been verified and has been published in top journal papers."

"And to be honest, I don't think Huaguo's current education method can produce any top mathematicians. That method is too backward."

Andrew Whit: "But aren't you also a physics professor who came from Huaguo?"

Jiang Kangcai: "No, I am a rice scholar, and I have already obtained a green card a long time ago. In addition, most of my achievements are made after studying in the United States."

Behind the news report, the "Washington Times" also used a long space to attach Jiang Kangcai's theory and some proof papers. And about Terence Tao's support for the evidence that there is no smooth solution to the NS equation.

In addition, the "Washington Times" also invited him at the end of the news, inviting him to respond directly to this question.

"Hello, Mr. Xu Chuan, I am Andrew Whitt, editor of The Washington Times. If you read this paper, as a scholar, should you respond?"

"After all, this is not only related to the one million meter gold of the Clay Institute of Mathematics, but also related to whether there is a smooth solution to the NS equation, and the glory of a scholar."

"I believe that Professor Jiang has already proved the NS equation since 2008, but the mathematical community has been ignoring him with a prejudiced attitude."

"If he really proves that NS equations do not have smooth solutions, there is no doubt that awards related to NS equations should be given to him. Including the one million meter gold from the Clay Institute of Mathematics, and a Fields Medal. "

After reading a piece of news, Xu Chuan couldn't help shaking his head.

A notorious journal, and a professor who studies fluid engineering mechanics and used to talk nonsense in mathematics, can be said to be a perfect match.

Not much to say about the "Washington Times". The newspaper founded by the South Korean patron mostly smears others.

And this Jiang Kangcai, he actually has a little memory.

In his last life, he studied controllable nuclear fusion and cooperated with Fefferman for a period of time. At that time, the two of them almost went through most of the literature on the NS equation at that time.

Both he and Fefferman have read Jiang Kangcai's theory.

But that's only for watching.

To be honest, there are actually some differences between this Professor Jiang and those folk sciences.

He is a physicist, and he is in the applied direction, mainly studying fluid mechanics and fluid dynamics. It is true that they immigrated from China.

But he didn't have any major achievements, not to mention world-class ones, even national-level honors.

Maybe it's because of the experiment later? He established an 'energy gradient theory' that is somewhat useful for fluid mechanics.

Of course, it is actually an imitation of Ke Lao's K4 theory, but added some experimental data and understanding of his own.

Therefore, I got the opportunity to immigrate to the United States.

Later, after immigrating to the United States, he has been committed to pushing his energy gradient theory to the NS equation. He once brought papers to the "Annual Journal of Mathematics" and the International Mathematical Union.

However, for more than ten years, there are not many bird him.

Because it is impossible to explain the NS equation in a purely physical way.

The biggest problem in his theory is that physical concepts and mathematics are not equivalent, and there is no smoothness in the mathematical sense in physics.

In his paper, a velocity U of zero can be defined as a singularity.

But the velocity U is zero, how can it be defined as a singularity in mathematics? This has nothing to do with smoothness!

Moreover, discontinuities are very common in supersonic fluids. All kinds of shock waves are velocity discontinuities. According to Professor Jiang Kangcai, they can all be regarded as singularities.

From this point of view, it is simply off the charts.

If you want to say that the most clever point in this news, Tao Zhexuan is probably involved.

That's right, in 2015, in order to review the thesis of the Kazakh mathematician Professor Mukhta, Tao Terence established a set of mathematical tools for "linear operator-like abstract equations". It can be regarded as another symmetrical average version of Professor Mukhta.

In this version, Tao Terence directly and neatly blocked the abstract proof ideas of Professor Mukhta of Kazakhstan.

It has to be said that constructing counterexamples is indeed a technical job that geniuses like to do.

In fact, not only Tao, other mathematicians have done many similar things.

To say that the most famous in this area recently is probably the mathematics master Stephen Smale who solved the Hirsch conjecture 12 years ago.

When he was studying the Hirsch conjecture, he constructed a 43-dimensional 86-sided polyhedron counterexample, and constructed a series of diameters under a fixed dimension d by performing a series of complex numbers and gluing techniques on the first counterexample. The diameter is (1+e)n The polyhedron (e is a positive number), get an infinite number of counterexamples, thus overturning the Hirsch conjecture.

This result earned her the 2015 Fulkerson Discrete Mathematics Award alone,

This award is awarded every three years, and it is the highest achievement in the field of discrete mathematics. It can be said that it is second only to top awards such as the Philippine Award and the Wolf Mathematics Award.

Including Xu Chuan himself, when he was reviewing papers in top journals such as "Annual of Mathematics" and "New Advances in Mathematics", he had also done rebellious examples to solve the prover.

How to put it, probably for people like them, constructing a counterexample to solve others is probably the easiest, simplest and most trouble-free way.

After all, sometimes you follow the train of thought of the prover, and you may fall into a big pit.

But if you create a counter-example yourself, you won't have this kind of trouble.

The easiest and most trouble-free.

Of course, regarding today's matter, I am afraid that both the "Washington Times" and Professor Jiang Kangcai have misunderstood the counterexample Tao Terence constructed.

It is more likely that people are following what others say, and they simply cannot understand Terence Tao's paper.

The counterexample constructed by Tao is not to prove that the smooth solution of the NS equation does not exist, but only for the abstract proof idea of ​​the professor Mukhta.

In addition, Tao Zhexuan is not a school that supports the fact that NS equations do not have smooth solutions.

However, adding Tao Zhexuan's opinion may indeed arouse more people's discussion. After all, Tao's reputation is not small, and the counterexample paper is indeed correct.

Xu Chuan flipped through the comments, and as he expected, he saw a lot of controversy.

【What the hell? Another proof of the NS equation? And still prove that the solution of the NS equation does not exist? Who is right and who is wrong? 】

[Interesting, it's getting lively now, I don't know if Professor Xu will respond? 】

["Washington Times"? Dogs don't even read it, this is a media that likes to spread rumors and slander others, pure rubbish. 】

[Aside from the nature of the media, we still don’t know who will win. Professor Jiang Kangcai is a professor of physics at Rice University, and Rice University is in the top 100 in the QS World University Rankings! There are only five universities in China that can enter the top 100 in the QS ranking. 】

[If it is said that Professor Jiang's theory may be problematic, then Tao Zhexuan's theory cannot be wrong, right? He has indeed written a paper on this aspect, which proves that Professor Jiang's result is correct. 】

[Just to make a statement, I don’t know anything about papers. But I know that if I can understand the papers and theories proving the seven millennium problems, it should be impossible to solve the millennium problems. 】

[Le, I can't make sense of the words, I feel the same way. Anyway, I have never understood Chuan Shen's papers. 】

【funny! 】

PS: There is another chapter tonight, ask for a monthly pass!