Scholar’s Advanced Technological System

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

Tao Zexuan’s office is no exception.

When the new "Year of Mathematics" was just sent to the office, he put down the things at hand, opened the catalogue of the journals, began to search for the papers he was interested in along the catalogue, and then marked the pages next to them, ready to wait until they were not busy. Focus on reading.

At this moment, the tip of the pen that was pinched on his hand suddenly fell a little and stopped behind a page number.

"Study on the Global Existence of Smooth Solutions of 3D Incompressible navier-stokes Equations with Specific Initial Values"

"NS equation?"

Looking at the title of the paper, Tao Zhexuan’s face appeared to be interested.

He has not seen the ns equation for some time from the mathematics journal.

After all, even though the ns equation is very versatile in the field of application, for pure mathematics, it is too difficult to make enough achievements on this proposition to be published in the Yearbook of Mathematics!

Can not help the curiosity of the heart, Tao Zhexuan temporarily put down the pen in his hand, along the page number behind the title, turned to the page where the paper is located.

When he saw the author of the paper, he squinted a little, and the eyebrows raised a sharp arc of interest.

Lu·zhou?

Originally, I was planning to wait until I had time to read the papers of interest, but when I saw this familiar name, he couldn’t wait any longer.

Professor Tao, who took a blank draft paper from the table and picked up the pen again, showed a serious look in his eyes. He looked at the line-by-line calculations on the paper and carefully looked at it.

Time passes by once.

Unconsciously, from early morning to noon.

It took a whole morning, Professor Tao passed the paper from beginning to end.

When he put the journal down, he couldn't help but sigh.

"Professor Lu is really amazing..."

Although it has only been roughly repeated, it does not prevent him from understanding the connotation.

What impressed him in particular was that the mathematical methods used by Lu Zhou in the argument were unseen.

Of course, if you want to get a deeper understanding of the wonderful things in this paper, you have to spend more time to peruse.

Happiness came, and I didn't want to go to the afternoon class. Professor Tao gave a call to his assistant, and after the task of the class was smashed, he opened the laptop.

Just as Lu Zhou is keen on making a bib, this big sister has a well-known hobby in addition to research.

That is to update the blog.

Review hot events, review papers, reviews academic peers.

And, share your feelings!

【

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

According to my understanding of him, it is his advantage to be good at using a variety of mathematical tools. His involvement in different fields of research is the most widely studied among the scholars I have seen. Not only that, his ability to understand and use mathematical tools is rare among scholars I have seen.

Often, a scholar who is able to apply a mathematical tool to the extreme and make innovations on this basis is worthy of the word excellence.

Obviously, his work is more outstanding.

He is good at choosing a new way of thinking, injecting new content into an old method, or using it as a nutrient, on the basis of which he has created an unprecedented mathematical method.

Let me evaluate, if you continue to improve this mathematical method, chances are that he really hopes to finally solve this century's problems.

Of course, we have to admit that the difficulty is very big!

】

To say that in the field of partial differentials, among the scholars who have studied the ns equation, "whatever is a little tao" is probably one of the best.

In 2014, a Kazakh mathematician, Otelbayev, proclaimed the existence and smoothness of the ns equation, which caused considerable controversy in the international mathematics community.

Because this scholar is comparable to the next year, he announced that he has proved that Ryman’s conjecture is much higher than that of Professor Enoch. He is a well-behaved mathematician, and the operation from preprint to journal submission is in one go, so he is not Ruthless cold.

However, it is not easy to review the manuscript.

Although Perelman, who solves Pang Jialai’s conjecture, is unsociable, the paper is written in English. But Mr. Otellbayev seems to be not good at English, using Russian writing, and the length of 90 pages, directly persuaded a large number of interested peers.

Tao Zhexuan, who only speaks Cantonese and English, certainly can't understand Russian, but this does not hinder the genius of this genius.

According to Professor Otellbayev's thesis, Tao Zhexuan first constructed a similar equation with the structure of ns, but with different formulas. If the conclusion of the original proof is established, there is no doubt that the example constructed by him will also have an overall smooth solution.

Then, something more violent happened.

By setting a special initial value, he proved that the smooth solution corresponding to the initial value will lose the 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 idea itself is wrong, then there is no question of whether it is correct or not.

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

Soon after, the Russian mathematician of the University of Oxford, Professor Gregory Selegin, finally completed the review, pointing out six errors in the review of Ottobayev’s paper, and finally ended this Disputes on the paper.

Of course, the mistaken Ottobayev himself, in the end, also acknowledged the mistakes, but these are all words.

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

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

In fact, not only Tao Zexuan gave a high evaluation of this paper, but many of the big cattle in the field of differential equations also gave a neutral view.

For example, Prof. Fefferman, the head of the Department of Mathematics at Princeton University, basically agrees with Tao Zhexuan. He believes that the method used by Lu Zhou in the argumentation process is more significant than the conclusions drawn by his paper itself.

Regardless of whether he is studying the "existence and smoothness of the solution of the three-dimensional incompressible navier-stokes equation", which is a century-old problem rewarded by the Cray Institute, the mathematical methods he uses will bring to the peers who study this proposition. No small inspiration.

Previously, Lu Zhou suddenly changed to study materials science and chemistry. Many scholars in the field of mathematics expressed regret that they should not be concentrated in other fields at the best age, but should concentrate as much as possible. , to push the field that they are good at to a higher level.

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

But now it seems that all the rumors seem to be broken.

This genius has not only given up on mathematics.

Instead it is like...

In the next set of "big chess"?