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Chapter 742: Is this the Millennium Problem of the N-S Equation Solved?

Although Qin Ke and Ning Qingjun made a sudden appearance in the international mathematics community in the past year, in August, they published "Ten Questions about the famous Chinese mathematician Obadiah Sean!"

and "Research on Verifying the Existence of Smooth Solutions to the n-s Equation in 60% of Cases Using Three-Layer Infinite Flow Loop Algorithm" still aroused huge attention and excitement.

I won't mention "Ten Questions about the famous Chinese mathematician Obadiah Sean!", which directly led to the disgrace of a "mathematical warrior" who gave countless people headaches, and the name "Obadiah Sean"

It has become the laughing stock and dust of history.

"Research on using three-layer infinite flow loop algorithm to verify the existence of smooth solutions to n-s equations in 60% of cases" is even more exaggerated. In one fell swoop, the progress of proving the existence of smooth solutions to n-s equations has been advanced to 60%! "Three-layer infinite flow loop algorithm"

It is also a wonderful mathematical processing method that has amazed countless mathematicians.

Even though Qin Ke and Ning Qingyun "disappeared" from the mathematics community again after August last year, there are still legends about them in the world, especially those mathematics teams and even physics teams that study n-s equations, and they are always paying attention to them.

Dynamic.

The n-s equation is a well-known problem in mathematics and physics. There are not even 10,000 but also 8,000 teams around the world that have conducted in-depth research on it. For the mathematics team, Qin Ke and Ning Qingyun are the number one enemies. Every time they publish

Papers on n-s equations can turn the research results of countless teams that have spent several years or even more than ten years into worthless waste paper, making people feel frustrated while cursing.

But these mathematics teams have to admit that as long as they conduct in-depth research on Qin Ke and Ning Qingyun's papers, they can indeed open up their minds and achieve a lot of results. If nothing else, they can at least publish one or two articles in top journals.

Papers related to it - this can barely be considered an academic achievement.

Therefore, mathematical teams from all over the world who study n-s equations hate and love Qin Ke and Ning Qingyun. They hope to see them publish more papers, and they can follow their direction to get results first, but they also want to see them publish more papers.

Afraid that they would publish too many results too quickly, they solved the general solution problem of the n-s equation first.

The mentality of the physics team is much simpler. In their eyes, the n-s equation is just an extremely effective tool that can be used in fluid mechanics research. Whoever can provide better methods of using the tool or even optimize the tool itself is the most important person in their eyes.

Welcome people - this kind of mentality is barely appropriate to be compared to "if you have breasts, you are a mother".

Mathematics teams around the world are not only concerned with n-s equations, but also have teams that study other number theory problems or other partial differential directions. These directions are the ones that Qin Ke and Ning Qingyun are most famous for and are best at. These teams will naturally pay attention to them.

Qin Ke and Ning Qingyun.

The total number of the above-mentioned teams exceeds 100,000. Calculating with an average of five people per research team, it also means that there are at least 500,000 people closely watching the dynamics of Qin Ke and Ning Qingyun, plus countless

Mathematics enthusiasts, physics enthusiasts, and their admirers and fans have made Qin Ke and Ning Qingyun’s accounts on arvix have more than one million followers.

You must know that arvix is ​​a pre-collection platform for academic scientific research papers. Only scholars, researchers or students in related majors will be active on this platform. The average number of daily active users is only about five million. It can have one million followers.

Then we can know the terrifying influence of Qin Ke and Ning Qingyun in the international academic community.

So during the Spring Festival, Qin Ke took the time to log in to his account in person and published the paper "Proving that there is a smooth solution to the n-s system of equations in three-dimensional space", the entire arvix quickly became a boil, and the website administrator quickly posted it

It was announced throughout the site and recommended in the most conspicuous position on the home page.

Almost everyone who paid attention to this matter rushed to tell others that Qin Ke and Professor Ning Qingjun from Xia State had made another major breakthrough in the research of n-s equations, "The existence of smooth solutions to n-s equations in three-dimensional space"

"The Millennium Prize problem" is a big step closer to being completely solved!

As long as mathematicians who have studied n-s equations in depth know very well that it has been proved that a smooth solution exists, then it is definitely not too far away to find this smooth solution (that is, the general solution)!

In less than five hours, the number of downloads of this paper exceeded 10,000.

Not only did the number of comments in the comment area below the paper surge by a thousand per hour, but posts related to this paper in several large global mathematics forums also grew at an alarming rate.

[My God, he and she are at war again!]

[Is this the Millennium Problem of n-s equation solved? 】

[Not yet, but I have seen the dawn of a solution! Although I haven't finished reading this paper yet - in fact, I can't understand it either. It's a bit funny to say that, as a doctoral student in the MIT Department of Mathematics, I actually

There is no way to understand this paper.]

[Not surprising, my supervisor was rubbing his forehead when he saw this paper. The previous "three-layer infinite flow loop algorithm" was complicated enough, and the "waterfall infinite flow loop algorithm" proposed by them this time is even more rare.

It’s outrageous. My tutor even said that there are no more than a hundred mathematics masters in the world who can completely understand this new algorithm within five days! Oh, my tutor is Professor Alessio Figali.

The winner of the previous two Fields Medals, his main research directions are partial differential equations, metric geometry and probability theory.】

[My tutor, Professor Pierre-Louis Lyons, also finished reading it overnight, and exclaimed three times in a row, "The mathematics community in Xia is about to rise."]

[Professor Lions, winner of the Fields Medal? He is definitely the most authoritative expert in the field of partial differential equations! It seems that he is also the teacher of Professor Alessio Figali. He also couldn’t find the paper

Is there a flaw?】

This chapter is not finished yet, please click the next page to continue reading the exciting content! [No. It’s a bit incredible. After Professor Qin Ke’s paper was published, I didn’t see anyone openly questioning or criticizing...

…]

[Oh, there is nothing strange about this. Professor Qin Ke and Professor Ning Qingjun have published twenty or thirty papers, right? Have you ever seen someone who can pick out the thorns from it? Obadiah is the only one who says strange things.

What will happen to Ya Sean?]

[Indeed, I am from the University of California, Los Angeles. Someone asked Professor Tao Zhexuan in class today for his opinion on this paper. Professor Tao said that this is a classic paper that deserves to be read carefully and reread a hundred times.

, and also said that it would be of great significance to the study of partial differential equations in the human mathematical community. Look, Professor Tao also highly praised this paper.]

[My supervisor has announced the disbandment of the n-s equation research team while cursing Fake Oil. I am also unemployed. I want to go to Xiaguo to do research with Professor Qin and Professor Ning. I wonder if they will accept people? 】

[I wonder. I have never heard of Professor Qin and Professor Ning recruiting assistants and researchers in mathematics. They have always studied mathematical problems with only two people. They proved a series of mathematical conjectures.

I haven’t asked anyone for help either.】

[Ah ah ah, it’s so genius that it makes people despair. From now on, whenever I see them looking in any direction, I’ll just stay away.]

Similar conversations abound in major international mathematics forums.

No one would doubt that there would be any big problems with the joint attack between Qin Ke and Ning Qingyun, especially since Qin Ke has "mythical" talent in mathematics. The Riemann Hypothesis is the same level of difficulty as the n-s equation.

Fell under Qin Ke’s pen.

Now that Qin Ke has published the latest research results, the n-s equation has half-knelt down in front of him and his female partner. Many people have been hit to despair. Qin Ke and Ning Qingyun put too much pressure on them. They

I think that instead of continuing to waste time and energy on this topic, we should cut off the tail to survive and choose other topics.

So overnight, countless people stuffed the thick manuscript paper into the shredder, and countless people went to the pub to get drunk - they had completely given up on continuing to study the n-s equation.

Of course, there is also a team of mathematicians who do not believe in evil and are tenacious. After they print out the paper, they stay behind closed doors and study the paper with all their strength, hoping to get the general solution before Qin Kening Qingjun. This way at least they can

Share some of the honors and bonuses!

No matter what, when Mr. Faltings came out with the news that Professor Qin Ke would give a paper on "Proving that there are smooth solutions to n-s equations in three-dimensional space" at the "Einstein Science Prize" selection meeting in Sweden.

After the special report, the entire international mathematics community was flooded with people. I don’t know how many famous mathematics masters booked flights to Sweden, which actually tripled the price of air tickets to Stockholm, the capital of Sweden...

On the contrary, this paper did not cause much of a stir in the domestic mathematics community.

First of all, this is only a stage achievement, and it does not really solve the millennium mathematical problem of "the existence of smooth solutions to n-s equations in three-dimensional space".

Secondly, most mathematicians in the country have already "frustrated" the super-superior performances of Qin Ke and Ning Qingyun. Anyway, these are two god-level existences. They can't be offended, and they will be annoyed at most.

Just say a few words of "amazing" in a nonchalant way, why are you paying so much attention to me?

There are also many narrow-minded people, thinking that there may be another millennium mathematical problem that will fall under the pen of these two young academicians, and they are so envious, jealous and hateful that they toss and turn all night long.

Only teachers and elders who have a close relationship with Qin Ke will sincerely celebrate their achievements with excitement.

Unlike the group of professors and teachers, the student group has aroused a very strong response, causing the number of people who want to apply for Qin Ke and Ning Qingyun's graduate studies to surge again. According to online voting, at least 800,000 undergraduates from the mathematics department will graduate.

Students and graduate students hope to be their students.

For this reason, I don’t know how many people stayed up all night to study and worked ten times harder than they did in the college entrance examination to study the mathematics textbooks specified by Qin Ke in the "Admissions Notice" in order to pass the written test interview in April.

In the boys' dormitory of the School of Mathematics at Beiyan University, Liang Shaoping is one of the senior students who stays up all night to study.

As Qin Ke's former imo teammate, Liang Shaoping has always followed Qin Ke as an example and worked hard to catch up with him.

There are 40 postgraduate mathematics textbooks designated by Qin Ke. With Liang Shaoping's talent and hard work, he has only finished reading 31 books, leaving 9 books left. And there is only more than a month left before the written examination on April 1.

Liang Shaoping didn't even return to his hometown for the Spring Festival, so he stayed in school to prepare for the war. He stayed in the library during the day and in the dormitory at night. During the holidays, the huge campus was so quiet that it was scary, but he didn't pay attention at all. He maintained a boring schedule of two o'clock and one line every day.

Study life.

It was late at night, Liang Shaoping rubbed the sore corners of his eyes and climbed into bed to rest for a while.

Even though he likes mathematics very much, studying at such high intensity every day really makes him physically and mentally exhausted.

However, through this kind of hard study, you can clearly feel the progress, and this is one of the motivations for Liang Shaoping to persevere.

It wasn't until he was lying on the bed to rest that he saw the WeChat messages on his mobile phone. His roommates in the same dormitory were all enthusiastically discussing the latest paper "Proving the existence of smooth solutions to n-s equations in three-dimensional space" published by Academician Qin Ning.

[It’s so awesome, I can only understand the first three pages, but I don’t understand the rest at all.]

[Damn it, I will risk my life to be their graduate student. With such an amazing mentor, as long as I am willing to work hard, I still worry about not learning anything? 】

[I read online reviews and found that the number of competitors has greatly increased again! Alas, I have only finished reading 25 textbooks, and there are still 15 more!]

[That is, Academician Qin is a master who is proficient in almost all sub-fields of mathematics. No matter which direction you want to study, you can apply for his graduate school. We also have to work hard! Let the four of us be admitted to his graduate school.

!]

[Speaking of which, is Shaoping still in school? He might pass the exam, but I don’t have much confidence now...the competition is too fierce.]

Seeing this, Liang Shaoping had no intention of participating in the group chat. He opened the arvix website and quickly found Qin Ke's paper.

"N-s equation? This is the direction of partial differential equations..." This is the direction that Liang Shaoping is most interested in.

He opened the paper and found that it was all in English. However, Liang Shaoping had crammed in English in order to participate in IMO. He also passed CET-6 in college, so he could still read fluently.

But the content inside was too profound, and he could barely understand about five pages.

"Brother Ke and sister-in-law are really amazing..." Liang Shaoping quickly determined that this paper was not something he could understand at his current level, but it also aroused his enthusiasm. He didn't waste time anymore and closed the paper.

I dropped the page and got up, went to the bathroom and flushed my face with cold water, then came back and continued to peruse the rest of the math textbook.

His eyes are full of fighting spirit. No matter what, he must fight his way out of the siege with his strength and become Brother Ke's student!

Only by following the footsteps of such top experts can you go further and further on your favorite mathematics path!



Qin Ke and Ning Qingyun did not pay attention to the fact that the entire world of mathematics was excited about their latest paper. In fact, they did not care about these reputations.

It has nothing to do with them what other people say, not to mention the really talented academics who don’t have time to reply at length in online papers and comment areas. At most, they will just jump in and out like their good friend Professor Tao did.

Foreigners called me and had a great time discussing it.
Chapter completed!
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