As one of the top four journals in the field of mathematics, almost any laboratory or institute related to mathematics will subscribe to the Annals of Mathematics.

Tao Zhexuan's office is naturally no exception.

As soon as the new Annals of Mathematics arrived in his office, he put down what he was doing, opened the journal's table of contents, and began to search through the table of contents for the papers he was interested in, and then marked the page numbers next to them, ready to concentrate on reading them when he was not busy.

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

"Study on the Global Existence of Smooth Solutions of Three-Dimensional Incompressible Navier-Stokes Equations at Specific Initial Values"

"NS equation?"

Looking at the title of the paper, Tao Zhexuan's face showed a look of interest.

He hadn't seen about the NS equation in the Annals of Mathematics for some time.

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

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

The moment he saw the author of the paper, he was slightly stunned, and his eyebrows raised a trace of interest.

Lu· Zhou？

Originally, he planned to read the collection of papers he was interested in when he had time, but when he saw this familiar name, he immediately couldn't wait.

Professor Tao, who took a blank piece of scratch paper from the table and picked up the pen again, had a serious look in his eyes, and looked carefully at the line of calculations on the paper.

Minutes and seconds passed.

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

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

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

"Professor Lu is really still amazing......"

Although he had only gone through it cursoryly, it did not prevent him from appreciating the connotation.

What particularly impressed him was that Lu Zhou used mathematical methods in his arguments that he had never seen before.

Of course, in order to appreciate the brilliance of this paper more deeply, it will take more time to peruse it.

When the interest came, and he didn't want to go to the afternoon class, Professor Tao called his teaching assistant, and after shaking off the task of class, he turned on his laptop.

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

That's updating your blog.

Comment on hot events, review papers, and comment on peers in the academic community.

And, share your thoughts!

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…… I think it's an interesting discovery, not just because of the conclusions he came to in his paper, but because of the way he used a very enlightening approach in his argumentation.

From what I know about him, his ability to use a variety of mathematical tools is his strength, and his involvement in different fields of study is the broadest among the scholars I have seen. Not only that, but his ability to understand and use mathematical tools is rare among the scholars I have seen.

Often, a scholar who can take a mathematical tool to the extreme and innovate on top of it is worthy of the word excellence.

Clearly, his work is more than outstanding.

He excels at choosing a completely new line of thought, injecting something new into an old method, or using it as a feeder to create a mathematical method that has never been done before.

If I am to judge, if he continues to refine this mathematical method, perhaps he will have a real hope of finally solving the problem of the century.

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

】

In the field of partial differentiation, among the scholars who have studied the NS equation, "TAO, who knows a little bit of everything", can probably be regarded as one of the best.

In 2014, a Kazakh mathematician Otelbayev claimed to have proved the existence and smoothness of the NS equation, which caused a lot of controversy in the international mathematical community.

Because the scholar was much better than Professor Enoch, who claimed to have proved the Riemann conjecture the following year, he was a serious mathematician, from preprint to journal submission, so he was not met with a merciless cold shoulder.

However, it was not easy to review the scholar's manuscript.

Although Perelman, who solved the Pang family's conjecture, was withdrawn, his thesis was written in English. But Mr. Otbayev did not seem to be good at English, and wrote in Russian, and the length of the text was 90 pages, which directly dissuaded a large number of interested colleagues.

Tao Zhexuan, who can only speak Cantonese and English, can't read Russian either, but this doesn't prevent this genius from being awesome.

According to Professor Otterbayev's paper, Tao Zhexuan first followed his ideas and constructed an equation that is similar to the NS equation but different. If the conclusion of the original proof is true, then there is no doubt that the example he constructed must also have a global smooth solution.

Then, something even more awesome happened.

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

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 the time, and his conjecture proved to be correct.

It was not long before Professor Gregory Selekin, a Russian mathematician at the University of Oxford, finally completed his review, pointing out six errors in the review of Ottelbayev's paper, and finally ending the controversy over the paper.

Of course, Otterbayev himself, who realized his mistake, also admitted his mistake openly in the end, but that's all for later.

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

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

In fact, not only Tao Zhexuan spoke highly of this paper, but also many experts in the field of differential equations also gave neutral views.

For example, Professor Feverman, head of the Department of Mathematics at Princeton University, basically agrees with Tao Zhexuan's views that the method used by Lu Zhou in the process of argumentation is more significant than the conclusion reached in his paper itself.

Regardless of whether he is working on the "existence and smoothness of the solution of the three-dimensional incompressible Navier-Stokes equation", which has been rewarded by the Clay Institute, the mathematical method he uses will bring a lot of inspiration to his colleagues who study this proposition.

Previously, Lu Zhou suddenly changed to study materials science and chemistry, and many scholars in the field of mathematics expressed regret, believing that he should not be at the best age, scattering his energy to other fields, but should concentrate as much as possible and push his 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 single mathematical paper in the strict sense, so that many people wonder if this genius has become tired of mathematics.

But now it seems that all the rumors have been debunked.

This genius not only did not give up on the study of mathematics.

Instead, it's like ......

In the next game of "big chess"?