Chapter 325 If I can understand it, then it should 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 a Chinese physicist, Jiang Kangcai.
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, he used energy
Gradient theory and Navier-Stokes equations 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.
Subsequently, there was a conversation with a reporter from the Washington Times.
Andrew Whitt: "Professor Jiang, I heard that you had 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 an SCI journal.”
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 cannot exist, but both the Clay Mathematics Institute and the International Mathematical Union have 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 some 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 part of the proof paper, as well as Tao Zhexuan's evidence supporting the fact 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 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 proves that there is no smooth solution to the NS equation, there is no doubt that awards related to the NS equation should be given to him. Including the one million meters of gold from the Clay Mathematics Institute and a Fields Medal.
"
After reading a piece of news, Xu Chuan couldn't help but shake his head.
A notorious journal and a professor who studies fluid engineering mechanics and once made a lot of nonsense about mathematics can be said to be a perfect match.
This chapter is not over yet, please click on the next page to continue reading! I won’t say much about the Washington Times. This newspaper founded by a South Korean financier spends most of its time smearing others.
And this Jiang Kangcai actually has some memory.
In his previous life, he studied controllable nuclear fusion and collaborated with Fefferman for a period of time. At that time, the two of them almost read through most of the literature on the NS equation at that time.
Both he and Fefferman had read Jiang Kangcai's theory.
But that’s just for viewing.
To be honest, there are actually some differences between Professor Jiang and those in the civil science field.
He is a physicist, and he is in the applied field. He mainly studies fluid mechanics and fluid dynamics. It is true that he immigrated from China.
But he doesn't have any major achievements, let alone world-class ones, and he hasn't even won national honors.
Maybe it was because of his experiments later? He established an ‘energy gradient theory’ that was somewhat useful for fluid mechanics.
Of course, it is actually an imitation of Ke Lao's K4 theory, but with some of my own experimental data and understanding added.
Therefore, I 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. He once brought papers to the "Annals of Mathematics" and the International Mathematical Union.
However, for more than ten years, not many people liked 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 smoothness in the mathematical sense does not exist in physics.
In his paper, the velocity U can be defined as a singularity when it is zero.
But if the velocity U is zero, how can it be defined as a singularity mathematically? This has nothing to do with smoothness!
Moreover, discontinuous points are very common in supersonic fluids. Various shock waves are velocity discontinuous areas. According to Professor Jiang Kangcai, they can be regarded as singular points.
From this point of view, it is simply a big departure.
If we were to say the most clever thing about this news, it would probably be the involvement of Terence Tao.
That's right, in 2015, in order to review the thesis of the Kazakh mathematician Professor Mukhta, Tao Zhexuan established a set of 'linear operator-like abstract equations' mathematical tools. This is another one of Professor Mukhta's
A symmetric average version.
In this version, Terence Tao directly and neatly blocked the abstract proof idea of Professor Mukhtar 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, but other mathematicians have also done many similar things.
To say that the most famous person in this field recently is probably the mathematical giant Stephen Smail who solved the Hirsch conjecture in 12 years.
When studying Hirsch's conjecture, he constructed a 43-dimensional 86-sided polyhedron counterexample. By performing a series of complex numbers and gluing techniques on the first counterexample, he constructed a series of diameters with a diameter of (1 e)n under a fixed dimension d.
For polyhedrons (e is a positive number), infinitely many counterexamples were obtained, thus overturning Hirsch's conjecture.
This result earned her the 2015 Fulkerson Prize in Discrete Mathematics alone.
This award is awarded every three years and is the highest achievement in the field of discrete mathematics. It can be said that it is the second only mathematics award after the Philippine Medal, the Wolf Prize in Mathematics and other top awards.
Including Xu Chuan himself, when reviewing papers in top journals such as "Annals of Mathematics" and "New Advances in Mathematics", he had also done things like solving provers with counterexamples.
How should I put it? For people like them, constructing counterexamples to solve other people's problems is probably the easiest and most trouble-free way.
After all, sometimes if you think along the lines of the prover, you may fall into a big pit.
But if you create a counterexample yourself, you won't have this trouble.
The simplest and most trouble-free thing.
Of course, regarding today’s matter, I am afraid that both the Washington Times and Professor Jiang Kangcai have misunderstood the counterexample constructed by Terence Tao.
It is more likely that they are following what others say and simply cannot understand Terence Tao's paper.
The counterexample Tao constructed was not to prove that the smooth solution of the NS equation does not exist, it was just for the abstract proof idea of Professor Mukhtar.
In addition, Terence Tao does not support the school that there is no smooth solution to the NS equation.
However, incorporating Tao Zhexuan's opinions may indeed arouse more people's discussion. After all, Tao is quite famous, and the counterexample paper is indeed correct.
Xu Chuan scrolled through the comments, and as he expected, he saw a lot of controversy.
[What the hell? Another proof of the NS equation comes out? And it proves that the solution to the NS equation does not exist? Who is right and who is wrong?]
[Interesting, it’s become lively now, I wonder if Professor Xu will respond? 】
[The Washington Times? You don’t even look at it. This is a media that likes to spread rumors and slander others. It’s pure garbage.]
[Regardless of the nature of the media, we still don’t know who will win. Professor Jiang Kangcai is a physics professor at Rice University, and Rice University has entered the top 100 in the QS World University Rankings! Only domestic universities can enter the top 100 in the QS Ranking.
There are only five universities.]
[If there may be problems with Professor Jiang’s theory, then Terence Tao’s theory cannot be wrong. He has indeed written a paper in this area, proving that Professor Jiang’s results are correct.]
[Let me make it clear that I don’t understand papers or anything like that. But I know that if I can understand the papers and theories that prove the seven millennium problems, then it should be impossible to solve the millennium problems. 】
[Le, it’s hard to make sense, and I feel the same way. Anyway, I’ve never understood Sichuan God’s paper.]
【funny!】
PS: There will be another chapter tonight, please vote for me!
