Chapter 325: If I could understand it, it shouldn't be possible to solve the millennium problem!
"A Top Chinese Physicist's Complaint Against the NS Equation, the Neglect of the International Mathematical Union, and the Omission of the Fields Medal!" 》
I have to say that this title is still very inducing.
NS Equations, Chinese, Top Physicist, International Mathematical Union, Fields Medal
A series of keywords directly include the most popular fields in the scientific community recently, such as NS equations, 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 achievements of top physicists have been ignored, but there are few top physicists of Chinese descent who can meet the criteria of the seven millennial problems.
And this article was published by the notorious "Washington Times", so there is a high probability that it is another rumor or fabrication or exaggeration.
With a hint of curiosity, Xu Chuan continued to look down.
In this press report, Andrew Whitt, a reporter for The Washington Times, 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 flow to study flow stability and turbulent transition. On this basis, the energy gradient theory and the Navier-Stokes equation are used to prove the location of this singularity.
To put it simply, it was Professor Jiang who created a completely new set of physical theories.
In this theory, there are singularities on the NS equation in transition and turbulent flows, and at these singularities, the flow variables are not differentiable, so that there is no solution to the equation at these singularities.
And because the equation has no solution at the singularity, even if the NS equation is solved at other points in the defined domain, there is no smooth solution of the NS equation in the globally defined domain.
This was followed by a conversation with a reporter from the Washington Times.
Andrew Whitt: "Professor Jiang, I heard that you solved the NS equation in '08?" Is that the case? ”
Jiang Kangcai: "Theoretically speaking, I created my own theory, solved 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, the mathematical community ignores your work and refuses to give you the corresponding glory." ”
Jiang Kangcai: "I can't think of any other reason. According to the definition of the NS equation by 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 shown that a smooth solution to the NS equation cannot exist, but neither the Clay Institute of Mathematics nor the International Mathematical Union has ignored my work."
Andrew Whitt: "I'm curious, if your theory is right, why is this happening?" ”
Jiang Kangcai: "Perhaps this is due to the stubbornness of most mathematicians, and it can even be said that they stubbornly believe in the existence of smooth solutions to the NS equations?" They didn't want to believe that there was no smooth solution to the NS equation, so they abandoned my paper. ”
"Of course, there are also those in the mathematical community who do not believe in the existence of the NS equation, such as Professor Tao Zhexuan Tao."
Andrew asked in surprise, "Professor Tao Zhexuan supports your theory?" ”
Jiang Kangcai nodded and said, "That's right, yes, in 2015, Professor Tao constructed an equation that was close to equivalence to the original NS equation, and proved that this equivalent equation would explode in a finite time. ”
"This means that even in mathematics, there can be no smooth solution to the NS equation, and Professor Tao is one of the few mathematicians who is inclined to support the explosion of the NS equation compared to most other mathematicians."
"And the truth is often in the hands of a few."
Andrew Whitt: "Does this mean that Professor Xu, who has been very popular recently, is wrong in his proof of the NS equation?" ”
Kangcai Jiang: "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 that any top mathematicians can be cultivated with the current education method in Huaguo, that way is too backward."
Andrew Whitt: "But aren't you also a physics professor from China?" ”
Jiang Kangcai: "No, I am a Mi scholar, I have already obtained a green card a long time ago, and in addition, most of my achievements have been made after receiving studies here in Mi country. ”
Behind the news report, the Washington Times also devoted a long time to attaching the theory and partial proof of the thesis of Jiang Kangcai. and the evidence that Tao Zhexuan supports that there is no smooth solution to the NS equation.
In addition, the Washington Times invited him at the end of the news to respond positively to the question.
"Hello Mr. Xu Chuan, I'm Andrew Whitt, editor of The Washington Times, if you read this paper, as a scholar, should you respond to it?"
"After all, it's not just about the million-meter gold of the Clay Institute of Mathematics, but also about whether there is a smooth solution to the NS equation and the honor of being a scholar."
"I believe that Professor Jiang has already proved the NS equation in 2008, but the mathematical community has been ignoring him with a biased attitude."
If he did prove that there is no smooth solution to the NS equation, there is no doubt that the award for the NS equation should be given to him. Including the one million meters of gold from the Clay Institute of Mathematics, 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 has a history of mathematical nonsense are a perfect match.
The Washington Times doesn't say much, because most of the time, the newspaper founded by South Korea's sponsor is smearing others.
And this Jiang Kangcai, he actually has a little memory.
In his last life, he studied controlled nuclear fusion, and he worked with Feverman for a while, and at that time he almost went through most of the literature on the NS equation at that time.
This Jiang Kangcai's theory, he and Feverman have both seen it.
But that's just about seeing it.
To be honest, there are actually some differences between this Professor Jiang and those civil sciences.
He is a physicist and an applied researcher, mainly working on fluid mechanics and fluid dynamics. It is true that they emigrated from China.
But he didn't have any major achievements, let alone world-class, or even national honors.
Maybe it's because of the experiment? He established an 'energy gradient theory' that was somewhat useful for fluid mechanics.
Of course, in fact, it is also an imitation of Ke Lao's K4 theory, but with some experimental data and understanding of his own.
As a result, he was given 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, and has brought his papers to the "Annals of Mathematics" and the International Mathematical Union.
However, for more than a dozen years, there were not many birds of him.
Because it is impossible to explain the NS equation in a purely physical way.
The biggest problem with his theory is that physical concepts and mathematics are not equivalent, and there is no mathematical smoothness in physics.
In his paper, a velocity U of zero can be defined as a singularity.
But if the velocity U is zero, how can it be mathematically defined as a singularity? This has nothing to do with smoothness!
Moreover, the occurrence of discontinuities is a very common thing in supersonic fluids, and all kinds of shock waves are velocity discontinuities, which can be regarded as singularities according to Professor Jiang Kangcai.
From this point of view, it is simply off the spectrum.
If you want to say that the most clever point in this news is probably to involve Tao Zhexuan.
That's right, in 15 years, in order to review the paper of the Kazakh mathematician Professor Mukhta, Tao Zhexuan established a set of mathematical tools for 'linear operator-like abstract equations'. It is another symmetrical averaging version of Professor Mukhta.
In this version, Tao Zhexuan directly and neatly blocked Professor Mukhta's abstract proof idea.
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.
If you want to say that the most famous in this area recently, it is probably Stephen Smale, the mathematician who solved the Hirsch conjecture when he solved it for 12 years.
When he studied the Hirsch conjecture, he constructed a 43-dimensional 86-sided polyhedral counterexample, and constructed a series of polyhedra with a diameter of (1+e)n (e is a positive number) under the fixed dimension d through a series of complex numbers and gluing techniques on the first counterexample, and obtained an infinite number of counterexamples, thus overturning the Hirsch conjecture.
This result earned her the 2015 Fulkerson Prize in Discrete Mathematics alone.
This prize, which is awarded every three years, is the highest achievement in the field of discrete mathematics, and can be said to be the mathematics award after the top awards such as the Philippine Prize and the Wolf Prize in Mathematics.
Including Xu Chuan himself, when he was reviewing papers in top journals such as "Annals of Mathematics" and "New Advances in Mathematics", he also did the thing of rebelling examples to solve the provers.
How to put it, it is probably the easiest and easiest way for people like them to construct counterexamples to solve others.
After all, sometimes if you follow the prover's train of thought, you may fall into a big hole if you don't do it well.
But if you make a counterexample, you won't have this kind of trouble.
It's the easiest way to do it.
Of course, for today's incident, I am afraid that both the Washington Times and Professor Jiang Kangcai have misunderstood the counterexample constructed by Tao Zhexuan.
It is more likely that people are also cloudy, and they simply can't understand Tao Zhexuan's paper.
The counterexample of the Tao construct is not intended to prove that the smooth solution of the NS equation does not exist, but only to the abstract proof idea of Professor Mukhta.
In addition, Tao Zhexuan does not support the school of thought that there is no smooth solution to the NS equation.
However, mixed with Tao Zhexuan's opinion, it may indeed cause more people to discuss, 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, saw a lot of controversy.
What the hell? Another proof of the NS equation? And is it to prove that the solution of the NS equation does not exist? Who's right and who's wrong? 】
[Interesting, it's lively now, I wonder if Professor Xu will respond? ] 】
[The Washington Times? Dogs don't look at it, this is the media that likes to spread rumors and slander others, pure garbage. 】
[Aside from the nature of the media, I don't know who killed the deer, 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 of QS rankings. 】
[If there may be something wrong with Professor Jiang's theory, then Tao Zhexuan's theory can't be wrong, he did write a paper in this area, proving that Professor Jiang's results were right. 】
[To be clear, I don't understand the paper or anything.] But I know that if I can understand the papers and theories that prove the seven millennial problems, it should not be possible to solve the millennial problems. 】
[Le, I can't make sense of the words, I feel the same way. Anyway, I've never understood Kawajin's paper. 】
[Funny! 】
PS: There is one more chapter in the evening, ask for a monthly pass!
(End of chapter)