Chapter 420 Tu Ban's NS Equation

Watching Professor Fefferman leave, Lu Zhou took out his mobile phone and called Wei Wen.

The phone was connected quickly, and a familiar voice came from the other end.

"Hey?"

Lu Zhou: "Are you free now?"

Wei Wen: "I'm free, what's the matter?"

Without much nonsense, Lu Zhou said succinctly: "Come to me, if Jericho is here, take him with you. I have some manuscripts here that need to be input into the computer, and I need your help!"

...

The research idea of ​​"Using Topological Methods to Study Partial Differential Equations" was not created by Lu Zhou. It was first seen in Hilbert's paper, and then from the research results of Brower, Banach and others, we can see the origin of this research idea shadow.

Speaking of the more famous achievements in modern times, it is probably the Leray-Schauder topological degree theory of the French mathematician Leray, and this is one of his main contributions to winning the Wolf Mathematics Prize in 1979.

However, even with these achievements, this method of "using topological methods to study partial differential equations" has not risen to the height of becoming an independent discipline.

What’s more, it’s not even a sub-discipline, it can only be regarded as a unique “research train of thought” or “research style”.

Lu Zhou introduced the idea of ​​differential geometry and topology into the field of partial differential equations by selecting the "L manifold", and finally proved the existence and smoothness of the solution of the NS equation, which can be said to have not only perfected this theory , let it rise from a "research style" to a "method".

Therefore, it is not an exaggeration for Professor Fefferman to say that he has created a discipline.

As for how to name this subject, Lu Zhou has not yet come up with a suitable name.

Perhaps when he has time later, he will consider compiling these theories and methods into a book. At that time, it is not too late to consider how to name this emerging discipline.

Of course, it would be even better if someone is willing to do it for you.

After all, writing textbooks is a very tiring task. Not only do you need to consult a large amount of information, but you also have to consider the acceptance of readers. It is not only boring, but also lacks challenges. In contrast, he still enjoys the process of absorbing and creating knowledge more.

After receiving Lu Zhou's call, Wei Wen took Jericho to his villa without saying a word, and also brought his work computer.

For three days and three nights.

With the help of two students, Lu Zhou finally entered the thesis into the computer and uploaded it to the official website.

Prior to this, Professor Fefferman had already contacted the International Union of Mathematicians for him and explained his situation. After hearing the inside story of the matter, the International Union of Mathematicians also extended the submission time for one week accommodatingly.

Not only that, considering the importance of the millennium problem, IMU, after negotiating with Lu Zhou, temporarily adjusted the one-hour report meeting originally scheduled for the first day of the opening ceremony to the day before the opening ceremony. The form unfolds.

As for why this arrangement is made, the reason is also very simple.

A 100-page thesis, and NS equations that have attracted much attention, also allow time for the audience to ask questions. No matter from which point of view, 1 hour seems to be stretched.

Looking at the two students who were completely exhausted, Lu Zhou was a little embarrassed and said in an apologetic tone.

"Thank you for your hard work... After waiting for two days, I will treat you to dinner. Now, go to sleep quickly."

Although he was also staying up late with them, he was used to staying up late after all, and his body's metabolic function had been strengthened to a certain extent, so he was much stronger than these two rookies in terms of endurance and recovery.

As soon as the words fell, Jericho slammed his head on the table with a bang, and within two seconds there was thunderous snoring in the study.

However, the other one was just the opposite, indifferent to Lu Zhou's persuasion.

"No, I'm not tired!"

Although there were two lumps of black and bluish dark circles under his eyes, Wei Wen's spirit was still excited. I saw him checking the thesis on the screen over and over again, not missing even a single punctuation, and chanting at the same time.

"I'll check again, one last time!"

This is already the first time he has said this sentence.

Looking at the fanatical Wei Wen, Lu Zhou sweated and said, "Don't tire yourself out, it's enough to check first."

Until the day before the report meeting, he has enough time to make detailed revisions to the paper, and there is no need to compress all the work into this one week.

Looking at Lu Zhou who was not aware of the seriousness of the problem, Wei Wen couldn't help reminding him.

"Professor, this is the NS equation!"

Lu Zhou: "...Uh, yes."

Looking at the "indifferent" Lu Zhou, Wei Wen was slightly taken aback.

"Aren't you excited at all?"

Lu Zhou coughed lightly: "I was really excited at the beginning...but no matter how you say it, it's impossible to be excited for three days, right?"

Wei Wen: "..."

Why not?

This is the Millennium Problem!

If it were him, let alone three days, a lifetime might not be enough...

...

Lu Zhou uploaded the paper three days later than expected.

The colleagues who were paying attention to this paper also waited for three days.

After the paper was uploaded, less than an hour later, the number of visits to the official website of the International Congress of Mathematicians reached a sudden peak, so that the server was almost forced to stop.

In the few days after the paper was uploaded, the major professional mathematics forums were as quiet as a lake.

Except for a few elementary school scum who popped up from time to time and asked "how is the situation?", it didn't cause too much trouble.

There is no way, even if it is a professional forum, the really awesome big cows don't have so much time to pour water on the forum.

And the boss in the eyes of the forum people is actually only slightly better than the average person.

The masters who can understand the papers are struggling to chew on the papers at the moment, and the "big guys" who can't understand don't dare to talk casually until the situation is clear.

After all, it would be too embarrassing if you were slapped in the face as soon as you opened your mouth...

It is not easy to chew through a hundred-page thesis in a short period of time.

Coupled with the "L-manifold", which is almost unfamiliar to the entire mathematics community, even Terence Tao, who is proficient in almost all directions of mathematics, spent two full days reading the paper thoroughly.

Putting down the thesis in his hand, he couldn't wait to turn on the computer, and updated his views on the thesis on his personal blog.

[He adopted an unconventional research idea, using the differential manifold method to build a bridge between partial differential equations and topology. This kind of research idea is so ingenious that it reminds me of the paper on the fixed point theorem written by Mr. Browar that I read in the early years...]

[I can't say for sure that his proof process must be correct, I can only say that I can't find any obvious faults for the time being. Later, I will write a more professional blog to analyze his thesis and the research ideas he used in the thesis... or the method. 】

[Of course, even if he has a high probability of success, I still have a lot of questions I want to ask him. The NS equation is a very interesting problem, and it is also the one I have been studying for the longest time. Unfortunately, I have not been able to solve it completely, but fortunately, the world will never lack geniuses who are smarter than me. 】

[Fortunately, my ticket was bought on the 30th! I am really looking forward to the end of the month :)]

...

Finally, in the second week after the paper was uploaded, the discussion on the NS equation was completely detonated.

As several active experts in the academic world published their views on the paper, the hot discussion was like a long-brewing typhoon, sweeping almost the entire mathematics world, passing through, and even invading the field of physics.

In the well-known Shuimu forum in China, the post about "NS equation" is almost massacred.

[I just want to know if Lu Shen is super god? Can someone from the math department speak up? 】

[It's useless if the boss comes, Shen Lu's thesis is not something ordinary people can understand. Just today, our professor happened to mention it in class. It is said that last week, Qiu Chengtong Mathematics Research Center organized a seminar and convened professors from the three research fields of partial differential equations, differential geometry, and topology. They studied his papers. 】

[Is there any result? 】

[How do I know this? Even if the discussion comes out, I will not be notified. However, I climbed over the wall and read Taoshen's blog on the Internet. This big cow seems to be very optimistic about Lushen's paper. 】

[They're all gods... let's talk about business. 】

[Ghost knows. 】

[Awesome! The NS equation, the millennium problem... If this is solved, it will be no problem to enter a thousand people, right? 】

[Pfft... there are still thousands of students, don't even win the first prize in natural science, and the students you lead have entered the thousand students, are you kidding? 】

[Don’t say anything, I’m going to Brazil at my own expense. I don't travel, I don't watch football, I just want to touch God Lu up close, I don't know if I have the chance...]

[The one upstairs takes me. 】

Just as everyone expected, time passed day by day, and finally July 31st came.

Although tomorrow is the opening ceremony of the quadrennial International Congress of Mathematicians.

But for many, the world-class event has already started early...