The research on the NS equation has reached the final sprint stage.
This research lasted for nearly a year, and every progress made during the process was a result, some in theory and some in application.
When he reached the final stage, his mentality was actually very calm, because it felt natural.
This sprint phase is also different from the previous ones.
At the end of some previous research, you will encounter some problems that you can't figure out, and it is not easy to sell it when you are almost there.
Now I feel that everything has been figured out, but there are some details of the argument in the middle that still need to be carefully considered.
"Probably because the accumulation has been enough and the preliminary proofs have been completed. What is left is just sorting out the complex calculation logic."
Wang Hao thought.
The preliminary proof of the research was 'the smoothness of the solution set of NS equations under the conventional value range'. When the inspiration value was 60 points, he had already completed the relevant demonstration and published the relevant paper in "New Mathematics"
Progress" on.
Now it is time to connect the previous arguments and expand the value range to infinite, which requires a detailed combing of the value range and calculation logic.
There is not much work left.
Wang Hao did not just do research. He just spent 3 to 5 hours every day thinking and recording, hoping to slowly improve relevant arguments.
"According to this progress, it will probably take half a month."
Wang Hao thought, "There is no need to revise the completed argument again, and when the argument is completed, there is no need to make a summary."
"By then, there should be no problem."
The research related to the NS equation lasted for one year, and I am looking forward to it being completed soon.
at the same time.
Osaka, Japan held an academic conference on the theory and application of nonlinear partial differential equations advocated by the International Mathematical Society.
Often, in similar conferences, a large number of mathematicians from home countries participate, while the number of scholars participating from other countries is relatively small.
This meeting was a little different.
The organizer invited many well-known experts in the field of partial differential equations, including Princeton University, Stanford University, Oxford University, etc., and relevant scholars participated.
Among the very famous ones are the Italian mathematician Alessio Figali, the Austrian mathematician Martin Haier and the Japanese mathematician Mikio Tian.
The first two are Fields winners, and the last one is Wolfe winner.
Domestic scholars in related fields also participated, such as Yuan Peizhi from the Institute of Mathematics of the Academy of Sciences, Shao Enqi from Capital University, etc.
The study of nonlinear partial differential equations is a very important direction in the field of mathematics, and there are more than a dozen related topics drawn up at the conference.
Research related to NS equations is also one of the topics.
Research in this direction is taken very seriously, and the number of interested scholars is also the largest. One of the important reasons is that the smoothness of the NS equation under conventional values ​​has been proven.
Top mathematicians pay more attention to research in theoretical directions, and Wang Hao's proof of the smoothness of NS equations was discussed at the meeting.
The relevant discussion is not his proof process, but the expansion of his proof to find ideas and ideas for solving NS equation problems.
Many people have expressed their opinions.
Most scholars believe that Wang Hao's proof ideas cannot cover all values, that is, according to his ideas and methods, all proofs cannot be perfected.
Professor Masao Nakamura of Waseda University in Japan explained the reason in his report, "Including Chen Jingrun of Goldbach's conjecture, including Brooke-Jelson of Taniyama-Shimura conjecture, etc., a series of major mathematical problems in the past have been weakened to prove
No scholar has been able to perfect the proof.”
"Wang Hao used a value analysis method to prove the smoothness of the solution set of NS equations under conventional values."
"This method can be said to be tricky, and because of this, it is impossible to continue the argument that the complexity expands to infinite."
Masao Nakamura’s views are recognized by many scholars.
However, some people are noncommittal, such as the young Fields winner Alessio Figali, who believes that mathematics cannot make relevant inferences based on past experience.
His research also involves the field of partial differential equations, but he thinks his level is not as good as Wang Hao's. You can tell just by looking at his results.
When the level has not caught up with others, it can be said to be foolish to evaluate other people's proofs based on past experience.
Mathematics, not history.
Each study is independent, so what is the point of summarizing experience from so-called ‘history’?
Yuan Peizhi from the Institute of Mathematics of the Academy of Sciences also expressed his own opinion. He believed that "someone can complete the proof of the NS equation within a few years. This person must be Wang Hao." "Wang Hao's understanding of the NS equation is already the best in the world."
Already."
Yuan Peizhi admired Wang Hao very much.
Scholars from other countries just listened, and they could not refute Yuan Peizhi. After all, Wang Hao had completed the proof of the smoothness of the solution set of NS equations under the conventional value range.
In this area of ​​research, without internationally shocking results, there is no right to speak.
Wang Hao's discussion was just an interlude.
The follow-up of the topic is to study how to continue to demonstrate the equation. Many scholars have expressed their opinions and ideas.
Related issues lasted for more than two hours.
The meeting lasted for three days. After the meeting was over, the sponsor, Shimada Kepu Company of Japan, announced a major news--
The smoothness of the solution set of NS equations is very important to promote the development of mathematical theory. The company decided to spend 400 million yen to reward mathematicians who solve NS problems.
…
Saikai University.
Wang Hao still lives a normal life, but takes a certain amount of time to do research every day. The progress is still very smooth, and 90% has been completed.
When he went to the restaurant to dine, he happened to bump into Zhou Qingyuan and walked over with a dinner plate.
Zhou Qingyuan shared a piece of news with him, "Did you know? A Japanese company announced that it will spend 400 million yen as a reward to mathematicians who solve NS equation problems."
This chapter is not over yet, please click on the next page to continue reading the exciting content! He smiled and said, "With this reward, I feel like you have a good chance."
Wang Hao was stunned when he heard this, "Didn't the Clay Institute give a bonus to the Millennium Mathematics Conjecture?"
"This is the latest."
Zhou Qingyuan shook his head and smiled, "The decision made by the sponsors of the Japan Conference on Partial Differential Equations that just passed was probably a propaganda method. It is generally difficult for anyone to complete such a major issue in a few years or even decades.
"
As he spoke, he suddenly asked, "I see that your paper airplane folding is very good? It should be a research project, it's really amazing. Have you continued any related research recently?"
"It goes on and on."
Wang Hao replied and asked, "With this newly announced reward, if I complete the research quickly, will they award a reward?"
"of course."
Zhou Qingyuan said, "As long as they say it publicly, if someone completes the proof, they will definitely give a bonus. Four hundred million yen sounds like a lot, but it is actually only two or thirty million yuan. It is impossible for a big company to damage its reputation for this money."
"Right."
Wang Hao suddenly looked forward to it.
"By the way, how is your research?" Zhou Qingyuan asked.
"Is it going to be soon?"
Zhou Qingyuan was stunned when he heard this, "Very soon?"
"kindness."
Seeing Wang Hao nodding in recognition, he suddenly became excited, "Come on! It would be amazing if we can complete this research."
"Thanks."
Wang Hao is also looking forward to it very much. When he heard that he could get an additional bonus of more than two million US dollars, his expectation became even stronger.
After finishing his meal, he hurried back to the office.
Zhou Qingyuan sat stunned in his seat. He had great trust in Wang Hao. Since Wang Hao said that he would complete the research soon, it must be very soon.
How fast exactly?
"It should be completed in a few months, right? Half a year? Four months?"
To be continued...