Chapter 325 If I Can Understand All of This, Then It Would Be Impossible to Solve the Millennium Problem!

"A top Chinese physicist's accusation against the NS equation, the International Mathematical Union's neglect, and the omission of the Fields Medal!" 》

I have to say that this title is quite provocative.

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

A series of keywords directly cover various popular fields such as NS equation, mathematics, Fields Medal and other popular fields in science.

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 standards of the seven millennium problems.

Moreover, this article was published by the notorious "Washington Times", so there is a high probability that it is another rumor or fabrication and exaggeration.

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

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

In 2008, Professor Jiang proposed the energy gradient theory through the study of viscoelastic flow stability in non-Newtonian flows to study flow stability and turbulent transition. Based on this, the energy gradient theory and Navier-Stokes equation were used to prove the location of this singular point.

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

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

And because the equation has no solution at a 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.

What followed was a conversation with a reporter from the Washington Times.

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

Jiang Kangcai: "Theoretically speaking, 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 SCI journals."

Andrew Whitt: "In other words, the mathematical community has ignored your results and refused to award you with the corresponding honors."

Jiang Kangcai: "Other than that, I can't think of any other reason. If we look at the definition of the NS equation from the Clay Institute of Mathematics, 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 are impossible, but both the Clay Mathematics Institute and the International Mathematical Union ignored my results."

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

Jiang Kangcai: "Perhaps this is because most mathematicians are stubborn or even stubborn in believing that smooth solutions to NS equations exist? They are unwilling to believe that NS equations have no smooth solutions, so they abandoned my paper."

"Of course, there are people in the mathematical community who don't believe in the existence of NS equations, such as Professor Tao Zhexuantao."

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

Jiang Kangcai nodded and said: "Yes, yes, in 2015, Professor Tao constructed an equation that is nearly equivalent to the original NS equation, and proved that this equivalent equation will explode within a limited time."

"This means that even mathematically, there is no smooth solution to the NS equation. Compared to most other mathematicians, Professor Tao is one of the few mathematicians who tends to support the idea that the NS equation will explode. one."

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

Andrew Whitt: “Does this mean that the recently popular 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 journals."

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

Andrew Whitt: "But aren't you also a physics professor from China?"

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

Behind the news report, the "Washington Times" also spent a long time attaching Jiang Kangcai's theory and some proof papers. And the evidence that Terence Tao supports that there is no smooth solution to the NS equation.

In addition, the "Washington Times" also invited him at the end of the news to respond to this issue head-on.

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

"After all, this is not only about the one million meters of gold from the Clay Mathematics Institute, but also about 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 in 2008, but the mathematical community has always ignored him with a prejudiced attitude."

"If he really proved that there is no smooth solution to the NS equation, there is no doubt that the awards related to the NS equation should be given to him. Including the one million dollars of the Clay Mathematics Institute 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 has made a lot of statements in mathematics can be said to be a perfect match.

Not to mention The Washington Times, a newspaper founded by a South Korean sponsor, most of the time it is smearing others.

And this Jiang Kangcai, he actually has some memories.

In his previous life, he studied controlled nuclear fusion and worked with Feferman for a while. At that time, the two of them almost read through most of the literature on the NS equation at that time.

He and Feferman have read this Jiang Kangcai's theory.

But it's just reading it.

To be honest, this Professor Jiang is actually a little different from those folk scientists.

He is a physicist, and he is considered to be an applied physicist. He mainly studies fluid mechanics and fluid dynamics. He is indeed an immigrant from China.

But he didn't have any major achievements, let alone world-class ones, he didn't even get national honors.

Maybe it was because of the experiments he did later? He established an 'energy gradient theory' that was somewhat useful for fluid mechanics.

Of course, it was actually an imitation of K's K4 theory, but he added some of his own experimental data and understanding.

As a result, he got the opportunity to immigrate to the United States.

After immigrating to the United States, he has been committed to pushing his energy gradient theory to the NS equation, and once brought his paper to the "Annals of Mathematics" and the International Mathematical Union.

However, for more than ten years, few people paid attention to him.

Because the pure physical method to explain the NS equation is not feasible at all.

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

In his paper, the speed U is zero, which can be defined as a singularity.

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

Moreover, the appearance of discontinuities is very common in supersonic fluids. Various shock waves are velocity discontinuities. According to Professor Jiang Kangcai, they can all be considered singularities.

From this point of view, it is simply far from the mark.

If we want to say the most clever point in this news, it is probably that Terence Tao was involved.

That’s right, in 2015, in order to review the paper of Professor Mukhta, a mathematician from Kazakhstan, Terence Tao specifically established a set of ‘quasi-linear operator abstract equations’ mathematical tools. It is another symmetric average version of Professor Mukhta.

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

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

In fact, it is not only Tao, other mathematicians have also done a lot of similar things.

If we say that the most famous person in this regard recently is probably Stephen Smale, the mathematical master who solved the Hirsch conjecture in 2012.

When he was studying the Hirsch conjecture, he constructed a 43-dimensional 86-face polyhedron counterexample. By applying a series of complex numbers and gluing techniques to the first counterexample, he constructed a series of polyhedrons with a diameter of (1+e)n (e is a positive number) in a fixed dimension d, and obtained an infinite number of counterexamples, thus overturning the Hirsch conjecture.

This result allowed her to win the 2015 Fulkerson Discrete Mathematics Award alone.

This award is awarded every three years and is the highest achievement in discrete mathematics. It can be said to be a mathematics award second only to top awards such as the Fields Prize and the Wolf Prize in Mathematics.

Including Xu Chuan himself, when reviewing papers in top journals such as the Annals of Mathematics and New Advances in Mathematics, he had also done things like creating counterexamples to solve the prover.

How to say it, it is probably that for people like them, constructing counterexamples to solve others is probably the easiest and simplest way.

After all, sometimes if you follow the prover's thinking, you may fall into a big pit.

But if you create a counterexample yourself, you won't have this trouble.

It's the simplest and most convenient way.

Of course, for today's incident, I'm afraid that both The Washington Times and Professor Jiang Kangcai have misunderstood the counterexample constructed by Tao.

It is more likely that they just follow the crowd and don't understand Tao's paper at all.

The counterexample constructed by Tao is not to prove that there is no smooth solution to the NS equation, but only to target the abstract proof idea of ​​Professor Muhtar.

In addition, Tao is not a supporter of the school that there is no smooth solution to the NS equation.

However, mixing in Tao's opinion may indeed cause more people to discuss, after all, Tao is quite famous, and the counterexample paper is indeed correct.

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

[What the hell? Another proof of the NS equation? And it proves that there is no solution to the NS equation? Who is right and who is wrong? ]

[Interesting, this is lively, I wonder if Professor Xu will respond? ]

[The Washington Times? Even dogs don't read it. This is a media that likes to spread rumors and slander others. It's pure garbage. ]

[Apart from the nature of the media, it is still unknown who will win. Professor Jiang Kangcai is a physics professor 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 be in the top 100 of the QS rankings. ]

[If Professor Jiang's theory may have problems, then Tao's theory can't be wrong. He did write a paper on this subject, proving that Professor Jiang's results are correct. ]

[Let me make it clear that I don't understand papers. But I know that if I can understand the papers and theories that prove the seven millennium problems, it should not be possible to solve the millennium problem. ]

[Happy, the words are rough and the logic is not clear, I feel the same way. Anyway, I have never understood Chuan Shen's papers. ]

[Funny! ]

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