Great Country Academician

Put pen to paper and point sentences.

Xu Chuan looked at the formulas on the desk with a smile on his face, full of satisfaction.

In my previous life, I have been pursuing a difficult problem in Princeton for several years without success, and I have been satisfied in this life.

The significance of the NS equation to the world of mathematics, physics and even the whole world is perfectly explained at this moment.

The passenger plane flying in the sky will not disintegrate suddenly, and the calm land will not collapse by itself. The diffusion effect of the fluid is perfectly restrained at this moment.

It is the mystery of the universe and the pinnacle of the human mind.

Of course, this is his glory!

When Xu Chuan started to study the last step of the NS equation in retreat, the video of him attacking the NS equation in the Nantah University classroom gradually spread to the entire mathematics and physics circles.

Discussions continue on relevant professional forums and on the campus website.

After all, it is a century-old problem that was rewarded by the Clay Institute, and the NS equation itself has a pivotal position in the field of partial differential.

Mathematicians who study the field of partial differential equations have also done a lot of research results around this equation. It is no exaggeration to say that this is a hen that can lay golden eggs.

It's just that it may end up in the hands of that Professor Xu today.

[Holy shit, Professor Xu has made a double attack again! The goal this time is the last step of the NS equation! 】

[? ? ? ? 】

[What the hell, it's not April Fool's Day this year. 】

[No, is he doing research so fast? I remember that he only pushed the NS equation to a new level in the first half of this year, right? This kind of century-old problem can be solved in a few years? 】

[Ma Dan! I have written the beginning of my graduation thesis for a year, and Chuan Shen has already rushed to the existence of the solution of the NS equation? 】

[Hiss~, if he solves the NS equation this time, then he will solve two of the seven millennium problems by himself. Is it so scary? 】

[The NS equation is impossible to solve. There are eight hundred top mathematicians who have challenged this problem, but now it is still standing there. The singularity is not differentiable, and the NS equation is doomed to have no solution! 】

【If you can't solve Professor Xu, can't you solve it? He has already solved one of the seven millennium problems, and this time it is only a matter of time. 】

[It's already mid-November now, and it's been almost a month since those videos. Is Professor Xu still working on it? Whether you can or not, come out and squeak. 】

From mid-October to mid-November, even after nearly a month has passed, related discussions are still quite popular on the Internet.

Many people are looking forward to the final result.

The CMI official of the Clay Mathematics Institute in the United States gave the following ideas for solving this problem:

[Prove or disprove, for a given initial velocity vector field, whether the three-dimensional unsteady Navier-Stokes equation will blow up (explosion)】

This is not only related to the one million meters of gold, but also related to the development of fluid mechanics.

If solutions to the NS equations are proven to exist and are smooth, fluid mechanics will advance by leaps and bounds.

If the solution of the NS equation is proved to be non-existent, the development of fluid mechanics may suffer great setbacks for a long time in the future.

If there is no smooth solution to the NS equation, the frontier field of fluid mechanics may also diverge along with the equation and find no future boundary, and even more serious points may directly explode.

Of course, the mathematics community generally believes that the NS equation in the three-dimensional situation has an existential and smooth solution, not only because the development of fluid mechanics and partial differential equations has involved all aspects of the field of mathematics.

It is also because many mathematicians have made a lot of results based on this equation, and these have been confirmed to be true, but the final ultimate answer is no, which always gives people a feeling of unreality.

Just as the Internet was discussing how long it would take for Xu Chuan to solve the last step of the NS equation, a piece of paper quietly appeared on the Arxiv preprint website.

"On the three-dimensional incompressible Navier-Stokes equations, a proof of the existence and smoothness of the solutions. "

A paper quickly made waves on Arxiv.

Because of the pre-fermentation, many mathematicians and physicists, even scholars who didn't read preprint websites like arxiv much before, registered accounts and followed Xu Chuan.

The academic circles know that this boss has the habit of throwing papers on arxiv before submitting, so in order to get the progress related to the NS equation as soon as possible, all the people who received the notification from the website crowded into arxiv .

[Fuck, Professor Xu uploaded the paper! 】

[What paper? 】

[What else can there be besides the proof of the NS equation! 】

[? ? ? ? Is it true? 】

[Ghost knows, anyway, I can't understand it, maybe it's written in random? 】

[Ask for a paper! Has anyone downloaded the thesis? arxiv is down, I can't even get in. 】

[Same request! 】

[To put it bluntly, it’s useless for you to beg. You should honestly follow the blogs or Twitter of those mathematicians, such as Tao, he will definitely express his opinion. 】

[It's scary, it seems that this time it may be true. 】

[Heh, I still say the same thing, the NS equation cannot have a smooth solution! Even if Professor Xu proves it, it must be proved or not! 】

[Ah, yes, yes, yes, you are right! I would like to ask about your education background? 】

[Goutou, don't ask, it's civil science. 】

The sudden flood caused the arxiv preprint website to shut down immediately.

Even Los Alamos National Laboratory, which operates the servers, quickly added spare servers.

Compared with the increased spare server resources, more people flooded into the Arxiv website because of the NS equation.

The sudden increase in the number of visits brought the entire website to a standstill in an instant, and what those scholars who realized it with hindsight saw was nothing but a blank space.

So many people began to seek papers in other places.

The last step of the NS equation is not only related to the Cray Mathematics Institute's reward of one million meters of gold, but also a century-old problem related to the progress of fluid mechanics.

Even if you don't understand it, you should first look at what the paper looks like, right?

With the passage of time, a lot of discussions that gradually calmed down became extremely intense again with a paper on Arixv.

Not only netizens who are discussing melons on forums and on the Internet, but also many well-known scholars in the field of mathematics and physics have expressed their concern for the proof paper of the NS equation uploaded by Xu Chuan.

California, USA, University of California, Los Angeles.

Tao Zhexuan, who had already prepared to explain, quickly took the downloaded and printed paper from his assistant.

Since he saw the mathematical tools built relying on the micro-fluid in the mathematical physics system more than a month ago, he has been looking forward to this day all the time.

A brand new mathematical tool, for a person like him, the temptation is too great.

Can't wait, he opened the paper and read it engrossed.

"...Based on micro-fluids, the concept of mathematical sets is introduced, combined with manifolds, and Ricci manifolds are used to develop fluid topology and geometric structures."

Staring at the paper, Tao Zhexuan couldn't help talking to himself excitedly.

As he expected, the formulas on the three blackboards are a mathematical tool! A mathematical tool that combines the three major fields of differential geometry, topology, and partial differential equations!

Even though he is known as an all-round mathematician, he never thought that there would be such a way to circumvent the restrictions of NS equations, which is unprecedented.

Yes!

Before that, he had also studied NS equations.

In 15 years, he constructed an equation that was nearly equivalent to the original NS equation, and proved that this equivalent equation would diverge in a finite time.

If you follow his thinking and logic, it can be deduced similarly that the original NS equation will also explode in a finite time.

Although he believed in the existence of smooth solutions to the N-S equations, he personally pushed them a little in the direction of unsolvability.

This is also a very depressing thing for him. It was not until the first half of this year that the creator of the paper in his hand made the NS equation a big step forward that he started to study the NS equation again.

After reading the paper in his hand impatiently, Tao Zhexuan closed his eyes and thought about it.

To be honest, the thesis in his hand is 'excellent' than any paper he has read before.

The writing and thinking of the whole paper are as perfect as nature itself.

Especially the ingenious mathematical method used in the thesis, he couldn't help but keep praising it in his heart.

After recollecting it quietly, Tao Zhexuan couldn't wait to turn on the computer and log in to his blog.

A long time ago, his blog began to publish various content related to mathematics.

As someone who "knows a little bit" about everything, he covers a wider field of mathematics, so his blog has become a gathering place for many scholars who are concerned about the frontiers of mathematics.

[The paper has been read. First of all, I would like to sigh: "This is a perfect paper, so perfect that it even makes me feel that it is not written by humans, but written by God.\