Chapter 378 Playing a Big Game of Chess? (2/4)

Chapter 378 Playing a big game of chess? (twenty four)

As the top four journals in the mathematics world, almost any laboratory or research institute related to mathematics will order the Annals of Mathematics.

Tao Zhexuan's office is no exception.

As soon as the new "Annual of Mathematics" was delivered to the office, he put down what he was doing, opened the catalog of the journal, and began to search for the papers he was interested in along the catalog, and then marked the page number next to it, preparing to wait until he was not busy Focus on reading.

At this moment, the nib of the pen held in his hand suddenly paused slightly, and stopped behind a page number.

"Research on the global existence of smooth solutions of three-dimensional incompressible Navier-Stokes equations under specific initial values"

"NS equation?"

Looking at the title of the paper, Tao Zhexuan showed interest on his face.

Regarding the research on the NS equation, he has not seen it from the Annals of Mathematics for some time.

After all, even though the NS equation has a wide range of applications, for pure mathematics, it is too difficult to make enough achievements on this proposition to be published in the "Annals of Mathematics"!

Unable to control the curiosity in his heart, Tao Zhexuan temporarily put down the pen in his hand, followed the page number behind the title, and turned to the page where the thesis is located.

When he saw the author of the thesis, he froze for a moment, and raised his eyebrows with a hint of interest.

Lu Zhou?

Originally, he planned to read all the papers he was interested in when he was free, but when he saw this familiar name, he couldn't wait any longer.

Taking a blank draft paper from the table, Professor Tao, who picked up the pen again, had a serious look in his eyes, and carefully read the line-by-line calculations on the paper.

Time passed like this every minute and every second.

Before I knew it, it went from early morning to noon.

It took a whole morning for Professor Tao to go through the thesis from beginning to end.

When he put the journal down, he couldn't help but let out an admiration.

"Professor Lu is really amazing..."

Although he only went through it briefly, it did not prevent him from appreciating the connotation.

What impressed him most was that the mathematical method used by Lu Zhou in the argument was something he had never seen before.

Of course, if you want to appreciate the brilliance of this paper more deeply, you have to spend more time reading it carefully.

The interest came, and he didn't want to go to the afternoon class. Professor Tao called his teaching assistant, dumped the class tasks, and turned on the laptop.

Just like Lu Zhou is keen on wearing scarves, besides research, this boss also has a well-known hobby in the circle.

That is updating the blog.

Comment on hot events, papers, and peers in academia.

And, share your thoughts!

【

...I think this is a very interesting discovery. What makes people gratified is not just the conclusion he got in the paper, but the very inspiring method he used in the argumentation process.

According to my understanding of him, he is good at using a variety of mathematical tools is his advantage, and his coverage of different research fields is the most extensive among scholars I have met. Not only that, but his ability to understand and use mathematical tools is also rare among scholars I have met.

Usually, if a scholar can use a mathematical tool to the extreme and make innovations based on it, it is enough to deserve the word outstanding.

Clearly, his work goes above and beyond excellence.

He is good at choosing a new idea, injecting new content into an old method, or using it as nutrients to create an unprecedented mathematical method on this basis.

Let me comment, if he continues to improve this mathematical method, maybe he really hopes to finally solve this century's problem.

Of course, we have to admit that it is very, very difficult!

】

In the field of partial differential, among the scholars who have studied NS equations, "TAO who knows a little about everything" can probably be regarded as one of the leaders.

In 2014, a Kazakh mathematician Otelbayev claimed to prove the existence and smoothness of the NS equation, which caused considerable controversy in the international mathematics community.

Because this scholar is much higher than Professor Enoch who claimed to have proved the Riemann conjecture the following year, he is a serious mathematician, and the operation from preprint to journal submission is done in one go, so he has not been affected. Ruthless cold reception.

However, it is not easy to review the manuscript for this scholar.

Although Perelman, who solved Pang Jialai's conjecture, had a withdrawn personality, the thesis was written in English anyway. But this Mr. Otrbayev seems to be not good at English. He wrote in Russian, and the length of the article was ninety pages long, which directly dissuaded a large number of interested colleagues.

Tao Zhexuan, who can only speak Cantonese and English, of course cannot understand Russian, but this does not hinder the genius of this genius.

According to Professor Otorbayev's thesis, Tao Terence first imitated his ideas and constructed an equation similar in structure to the NS equation, but different. If the conclusion of the original proof is valid, there is no doubt that the example he constructed will also have an overall smooth solution.

Immediately afterwards, something even more awesome happened.

By setting a special initial value, he proved that the smooth solution corresponding to the initial value will lose regularity in a finite time. This is equivalent to finding a counterexample, directly skipping the proof process, and logically denying the correctness of this idea.

If the idea itself is wrong, then there is no question of whether it is right or not.

This conclusion was recognized by many scholars in the field of partial differential equations at that time, and the facts also proved that his speculation was correct.

Not long after, Professor Gregory Selekin, a Russian mathematician at the University of Oxford, finally completed the review. He pointed out six mistakes in the review of Orterbayev’s thesis, and finally concluded the discussion on this paper. Dissertation Controversy.

Of course, Oturbayev himself, who realized his mistakes, also admitted his mistakes openly in the end, but these are all things to come.

All in all, in the field of NS equations, Professor Tao still has a considerable say.

And according to his habit of blogging, although he rarely puts serious academic content on the blog, the information he conveys through the blog is often verified by himself.

In fact, not only Tao Zhexuan gave a high evaluation of this paper, but many experts in the field of differential equations also gave more than neutral views.

For example, Professor Fefferman, the dean of the Department of Mathematics at Princeton University, basically agrees with Tao Zhexuan. He believes that the methods used by Lu Zhou in the demonstration process are more significant than the conclusions drawn by his thesis itself.

Regardless of whether he is studying "the existence and smoothness of the solution of the three-dimensional incompressible Navier-Stokes equation", a century-old problem that has been rewarded by the Clay Institute, the mathematical methods he uses will bring great benefits to colleagues who study this proposition. No small inspiration.

Previously, Lu Zhou suddenly changed to study materials science and chemistry. Many scholars in the mathematics field expressed regret, thinking that he should not disperse his energy to other fields at the best age, but should concentrate as much as possible. , to push the field of expertise to a higher level.

However, after Goldbach's conjecture, Lu Zhou has been quiet for more than a year, and has not published a strict mathematical paper, so many people wonder if this genius is tired of mathematics.

But now it seems that all the rumors seem to be self-defeating.

Not only did this genius not give up his research in mathematics.

Instead it's like...

In the next game of "big chess"?