Scholar’s Advanced Technological System

As the top four journals in mathematics, almost any mathematics-related laboratory or research institute will order the "Mathematics Annual".

Tao Zhexuan's office is naturally no exception.

As soon as the new "Mathematics Yearbook" was delivered to the office, he put down the things at hand, opened the catalogue of the journal, began to search for the papers that interest him, and then marked the page number next to it, preparing to wait until he was not busy Focus on reading.

At that moment, the tip of the nib pinched in his hand suddenly stopped and stopped behind a page number.

"On the Global Existence of Smooth Solutions for Three-Dimensional Incompressible navier-stokes Equations at Specific Initial Values"

"Ns equation?"

Looking at the title of the thesis, Tao Zhexuan's face appeared interested.

Regarding the study of the ns equation, he has not seen it in the annual mathematics for some time.

After all, even if the ns equation is used in a wide range of applications, it is too difficult for pure mathematics to make enough achievements on this proposition to be published in the "Mathematics Yearbook"!

Unable to control the curiosity in his heart, Tao Zhexuan put aside his pen for the time being, followed the page number behind the title, and turned to the page where the paper was located.

When he saw the author of the dissertation, he frowned slightly, his eyebrows raised a radian of interest.

lu · zhou?

Originally, he planned to focus on the papers of interest when he was free, but after seeing the familiar name, he couldn't wait any longer.

Professor Tao, who had taken a blank piece of draft paper from the table and picked up the pen again, had a serious look in his eyes, and looked at the formulas on the dissertation carefully.

Time goes by every minute.

Without knowing it, they went from early morning to noon.

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

When he put down the journal, he couldn't help but give a sigh of admiration.

"Professor Lu is still amazing ..."

Although he had only sketched it once, this did not prevent him from comprehending the connotation.

What impressed him in particular was that the mathematical methods used by Lu Zhou in his demonstrations had never been seen before.

Of course, in order to appreciate the wonderful things in this thesis more deeply, it takes more time to read carefully.

The interest came, and I didn't want to go to the afternoon class. Professor Tao called his assistant teacher and dumped the tasks of the class, then opened the laptop.

Just like Lu Zhou is keen on wearing a bib, in addition to research, this big guy also has a well-known hobby in the circle.

That's updating the blog.

Review hot events, review papers, review peers in academia.

And, share your thoughts!

[

... I think this is an interesting discovery. What makes people happy is not just the conclusions he got in the dissertation, but that he applied a very enlightening method in the process of argumentation.

According to my understanding of him, his ability to use a variety of mathematical tools is his advantage, and his involvement in different research fields is the most extensive among the scholars I have seen. Not only that, his ability to understand and use mathematical tools is also rare among scholars I have seen.

Normally, if a scholar can apply a mathematical tool to the extreme and innovate on this basis, it is worthy of the word excellence.

Obviously, his work is more outstanding.

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

Let me evaluate, if he continues to improve this mathematical method, he may really hope to finally solve this century's problems.

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

】

To say that in the field of partial differentials, among scholars who have studied the ns equation, "a little bit of tao" can probably be regarded as the leader among them.

In 2014, a Kazakh mathematician otelbayev claimed to prove the existence and smoothness of the ns equation, which caused considerable controversy in the international mathematical community.

Because the scholar was much better than Professor Enoch who claimed to prove the Riemann conjecture the following year, he was a regular mathematician who worked from preprints to journal submissions in one go, so he was not affected. Relentless cold treatment.

However, it is not easy to review this manuscript.

Although Perelman, who solved the conjecture of the Pang family, had a lonely personality, the paper was written in English. But this Mr. Otelbayev seemed not good at English, he wrote in Russian, and it was 90 pages long, which directly dismissed a large number of interested colleagues.

Tao Zhexuan, who only speaks Cantonese and English, certainly does not understand Russian, but this does not prevent this talented bull.

According to Professor Otelbayev's dissertation, Tao Zhexuan first followed his train of thought and constructed an equation similar in structure to the ns equation, but with some differences. If the conclusion of the original proof is true, then there is no doubt that the example he constructed will also have an overall smooth solution.

Immediately afterwards, even better things happened.

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

If the thinking itself is wrong, then there is no question of correctness.

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

Not long after, Professor Gregory Selegin, a Russian mathematician from the University of Oxford, finally completed the review, pointed out six mistakes when reviewing Otterbayev's thesis, and finally ended this article. Controversy of the dissertation.

Of course, Otterbayev, who realized the error, admitted the error in the end, but these are the last words.

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

And according to his bloging habits, although he rarely puts academic content on blogs, the information he conveys through blogs often passes his own verification.

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

For example, Professor Fefferman, the director of Princeton University's Department of Mathematics, basically agrees with Tao Zhexuan, thinking that the method used by Lu Zhou in the demonstration process ~ www.readwn.com ~ is more meaningful than the conclusions drawn by his paper. More significant.

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 rewarded by the Cray Institute, the mathematical methods he uses will bring to colleagues who study this proposition. No small inspiration.

Previously, Lu Zhou suddenly switched to studying materials science and chemistry. Many scholars in the mathematical field expressed regret that they should not disperse their energy into other fields at the best age, but should concentrate as much as possible. To push your field to a higher level.

However, after Goldbach's conjecture, Lu Zhou has been silent for more than a year and has not published a mathematical paper in the strict sense, so that many people doubt whether the genius is tired of mathematics.

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

This genius not only did not give up his mathematical study.

But like ...

In the next big game?