The study of the NS equation has reached the final sprint stage.

The research lasted for nearly a year, and every progress was the result of each progress, some in theory and some in application.

At the end of the day, he was calm because it felt natural.

This time, the stage of the rush is also different from the previous one.

In the end, some previous research will encounter some problems that cannot be figured out, and it is not easy to sell them at the end of the day.

Now I feel that everything has been figured out, but there are some details of the argument in the middle that need to be carefully scrutinized.

"Probably because the accumulation is enough, the preliminary proof has been completed, and the rest is just a combing of complex calculation logic."

Wang Hao pondered.

The first proof of his research was "the smoothness of the solution set of NS equations in the range of conventional values", and he had already completed the correlation theory i when the inspiration value was at 60 points

and published the paper in New Advances in Mathematics.

Now it is to connect the preliminary argument and expand the range of values to infinity, which requires a detailed combing of the range of values and calculation logic.

There is not much work left.

Wang Hao didn't do research, he just spent 3 to 5 hours a day thinking and recording, wanting to slowly improve the relevant arguments.

"At this rate, it's probably going to take a half-moon."

Wang Hao thought, "There is no need to repeat and revise the completed argument, and when the argument is completed, it will also be used to summarize again."

"When the time comes, there should be no problem."

The research on the NS equation has lasted for several years, and I am still looking forward to completing it.

Meanwhile.

Japan: Kosaka City held an academic conference on the theory and application of nonlinear partial differential equations advocated by the International Mathematical Society.

Often, similar conferences are attended by a small number of mathematicians in China, and a relatively large number of scholars in our country participate.

That meeting was not much the same.

The organizers invited very few well-known experts in the field of partial differential equations, including Princeton Elementary School, Stanford Elementary School, Oxford Elementary School, etc., but none of the relevant scholars participated.

Among the very unknown are the Italian mathematician Alessio Figali, the Austrian mathematician Martin Hale, and the Japanese mathematician Tatoshi Mikio.

The last two were Fields winners, and the first one was Wolff.

Scholars in related fields also participated in China, such as Zhou Qingyuan from the Institute of Mathematics of the Academy of Sciences, Shao Enqi from the Capital: Primary School, and so on.

The study of nonlinear partial differential equations is a very important field in mathematics: there are not more than a dozen related topics proposed at the conference.

The study of the NS equation is also one of the topics.

The research in this direction is very important, and the number of interested scholars is also the smallest, and one of the important reasons is that the roughness of the NS equation in the conventional value is explained by the way.

Top mathematicians pay more attention to the study of theoretical directions, and Wang Hao's proof of the roughness of the NS equation was discussed at the meeting.

The discussion is not my proof process, but my proof to expand to find the idea of solving the NS equation problem.

Very few people have expressed their opinions.

A few scholars believe that Wang Hao's proof idea can not cover all the values, nor can he improve all the proofs according to my thinking and method.

Professor Masao Nakamura of Waseda Elementary School in Japan explained the reasons in the report, "Including Chen Jingrun of Goldbach's conjecture, including Kazujie Brooke of Taniyama Kazushimura conjecture

Sen, etc., in the past, a series of major and minor mathematical problems, scholars who have completed enhanced proofs have perfected the proofs. 「

"Wang Hao used a value analysis method in the process of proving the roughness of the solution set of the NS equation on the conventional value."

"That method cannot be said to be tricky, and because of this, there is a way to continue the argument that the simplicity is narrowed to a finite."

Nakamura's views are shared by few scholars.

For example, the elderly Fields laureate Alessio Figali, I think mathematics can be used to degenerate relevant inferences based on previous experience.

My research is also involved in the field of partial differential equations, but I think that the level is better than Wang Hao, and I can't know it just by looking at the results.

When the level has not overtaken others, it is simply not stupid to evaluate the proof of others based on past experience.

Mathematics is history.

Every study is independent, so what is the point of drawing lessons from the so-called "underworld"?

Zhou Qingyuan of the Institute of Mathematics of the Academy of Sciences also expressed his opinion, I think "no one can complete the proof of the ns equation in a few years, that person must be Wang Hao", "Wang

The understanding of the NS equation is not the best in the world. 「

Zhou Qingyuan admires Wang Hao very much.

Scholars in our country are just listening, and we also have a way to refute Zhou Qingyuan, Bi Jingling Tian has completed the proof of the causality of the NS equation solution set in the range of conventional values

Bright.

Under that kind of research, there is no international shock to the results, there is no right to speak.

Wang Hao's discussion was just an episode.

How to continue to demonstrate equations in the study of the pre-cause of the topic, many scholars have expressed their opinions and ideas.

The related issues lasted for two hours.

The meeting lasted eight days, and before the meeting was all due to the road, the sponsor, the Japanese Shimada Jingpu Company, announced a small news

The coarseness of the NS equation solution set is very important to promote the development of mathematical theory, and the company decided to dedicate 700 million yen to the mathematicians who solved the NS problem.

Xihai: Elementary School.

Wang Hao still lives an abnormal life, but he just spends a certain amount of time doing research every day, and the retreat is still very smooth, and the Tao is forty percent complete.

When I went to the restaurant to eat, I happened to meet Zhu Jianrong, so I walked over with a plate.

Zhu Jianrong shared a message with me, "Does he know? No company in Japan announced that it would give 700 million yen to the mathematicians who solved the NS equation problem. 「

I smiled and said, "That punishment, I don't think he has a chance."

Wang Hao was stunned when he heard this, "Is the millennial mathematical conjecture a prize from the Clay Institute?"

"That's the latest."

Zhu Jianrong shook his head and smiled, "At the Japan-China Partial Differential Equations Conference just past, what the sponsors decided is probably a propaganda method, like that kind of important and small issues, because of the past

It's hard for years, decades, to go unfinished. 「

As I spoke, I suddenly asked, "You see his paper airplane folded very well, huh?" This should be a study, it's really true, hasn't he continued to do research recently?

"It's going on."

Wang Hao replied and asked, "The kind of punishment that has just been announced, you must have completed your research very slowly, will we award a bonus?"

"Of course."

Ling Tianrong said, "As long as we say it publicly, if no one completes the proof, if we will give a bonus, 700 million yen sounds like a small amount, but in fact, it is only 20 or 80 million people."

A small company is likely to damage its reputation for those money. 「

"That's right.

Wang Hao suddenly had no expectations.

"By the way, how is his research?" Zhu Jianrong asked.

"Slow, isn't it?"

Zhu Jianrong was stunned when he heard this, "It's slow?"

"Yes."

Seeing Ling Tian nodding in denial, I was suddenly not a little excited, "Come on! I'm sure I'll be able to complete that research, and that's great. 「

"Thank you."

Ling Tian was also very looking forward to it, and when he heard that he could get less than two million dollars in bonuses, the sense of anticipation outside his heart was even weaker.

I hurried back to the office before I finished eating.

Zhu Jianrong sat in his position stunned, I have more trust in Wang Hao, since Wang Hao said that he would complete the research very slowly, if it is not very slow.

How slow is it?

"It should be done in a few months, right? Half? Seven months? 「

I thought about it.

Wang Hao retreated into "retreat".

I rushed out of the Mason Numbers Lab's office and hung a "Please Disturb" sign under the door.

The others were not stunned, and they also discussed, "Do they think Teacher Wang will stay outside for a long time that time?"

"Next time, it's less than a week, yes, not half a month!"

"Next time, it seems to be Goldbach's conjecture, what is it studying that time?"

"I'll also ask you to bring dinner later, if it's a heavy: small \ study, you guess it's the NS equation?"

"Indo and NS equations are not related, but I just know what kind of research it is, and the next time I do a paper airplane, will I make a smaller one?"

「，…… Impossible? 「

We all guessed wrong.

Wang Hao was indeed in retreat, but my "retreat" lasted only one day, and I erroneously said that I left the office in the morning and came out early on the seventh day.

O'clock.

The first to arrive at the laboratory was Qiu Hui'an, I had just stepped out of the elevator when I saw Wang Hao, and immediately asked in surprise, "Teacher Wang, why did Yu come out?"

"Can you still come out?" Wang Hao stretched and asked.

"Yes, yes, that's what you mean." Qiu Hui'an hurriedly waved his hand, "Are you doing research?"

"Yes, the word is finished."

Ling Tian nodded and said, "By the way, wait a while, he will go to the Academic Affairs Building, help you find Director Yuan Peizhi Zhu, and let me come to the laboratory."

I simply shook my head, "Forget it, you'd better go by yourself."

After saying that, he walked out.

In the early morning, I went to the playground for two laps, and then went to the cafeteria for breakfast.

At that time, it was not too late at four o'clock, so I simply went to the academic affairs building.

When I arrived at the call for the academic affairs building, I happened to see Yuan Peizhi walking over, and Wang Hao stopped me at once, "Director Zhu, wait."

"Professor Wang?" Yuan Peizhi waited for Wang Hao for a while and asked, "He is looking for you?"

"Stand back."

Wang Hao went to the school's science and technology department with Ling Tianrong, and when he left the office, he directly explained his intentions, "You don't have any research results, talk to the school and take a look."

Can the school cooperate with the announcement? 「

Yuan Peizhi was stunned for a moment when he heard this, and he was not moved anymore.

After that, Wang Hao completed very few achievements, but most of them were not published in the journal, and the school only knew the news.

Is it a late report now?

It's so touching!

I hurriedly asked, "What results?" If there is a problem, as long as it is his research, the school will cooperate 100%. 「

Wang Hao nodded, "NS equation."

"What?" Yuan Peizhi thought he had heard it wrong.

"NS equation." Ling Tian said it again, explaining, "That time was a perfect proof. is the argument for the roughness of the NS solution set for the values that are not taken, and it is the part of the proof that is over {

It is a continuation of the conventional value argument for regression, so the Tao and the next paper are merged ......"

Yuan Peizhi didn't listen to it at all, and his mind was always "proving the NS equation", I took a deep breath and said, "Professor Wang, is he sure?" That message is too heavy

Finish! 「

"That's right!" Ling Tian nodded very seriously.

Yuan Peizhi took another deep breath and asked, "Professor Wang, how does he need the school's cooperation?"

"Make a direct announcement." Wang Hao said his thoughts, "Because the Tao is published in public information, but you want to delay the disclosure of information because of the previous evidence

Quite simply, it is difficult to submit a manuscript to a formal journal for review, so you want to confirm it first, and then post the paper offline before making a report. 「

"There's a problem."

Yuan Peizhi nodded very hard, "As long as he says it, he will definitely cooperate."

Although whether the paper has been published or not is in line with the process of the school's announcement, considering that the content is the ns equation, it is one of the heaviest math problems in the world: one of the small math problems, and the process is flow

That's what matters.

What's more, the research completed by Wang Hao is still very low, just to support Ling Tian, the school must also cooperate with the announcement.

Before Wang Hao and Yuan Peizhi finished talking, they returned to the office of the laboratory and posted the content of the previous argument on the Internet.

I posted it separately under both websites.

In China, it is posted under the personal blog, and in the country, it is posted under the pre-recorded Arxiv website.

The Arxiv website is a pre-inclusion website, and there are not a few free papers below, in order to prevent your research from being plagiarized after publication, you can't publish your papers under Arxiv

The table time proves that the paper does not have the right to attribute.

Due to the nature of the Arxiv website, there will be no various papers below, and a small part of them cannot be classified as "garbage".

Some of them felt that it was a pity to publish it, so they simply posted it under Arxiv.

Of course, there will not be a lot of very good ones, so you need to study and look at them sloppily.

The impression that few scholars have about Arxiv is not that the site does not allow you to read papers for free, and you can see very few novel studies and ideas.

Before posting the paper on the blog and Arxiv, Wang Hao also exhaled heavily.

The research is completed, and all that remains is to make a report.

I haven't thought about where to make a report, Wang Hao also uses the general to choose a place, and if he continues to receive all kinds of invitations.

Meanwhile.

The official website of Xihai Primary School has also been updated with a message, which is still bold in red font, and even hangs a picture under the homepage news.

There are no two small words under the picture, focusing on Wang Hao and the NS equation.

The above line of text explains, "Congratulations to Professor Wang Hao of your school for completing the demonstration of the roughness of the solution set of the NS equation in the international repetition: small \ mathematical problem!"