It’s all been proven!
The paper "Bounded Convergence of NS Equation Output under Rough Values" on Wang Hao's blog was quickly reprinted and reported by foreign media.
Many academic media pay attention to Wang Hao's blog.
Although he published the content on the domestic Internet, because the content was very professional, an interesting proof would occasionally come out, which would attract the attention of some academic media.
Recently, research on Buckmaster has been a hot topic in the mathematics community.
After seeing Wang Hao's paper, foreign media quickly reprinted it. Because the content was related to Buckmaster's research, it was also quickly known by foreign mathematics circles.
The content of the blog is also specially translated into English.
Compared with papers in other fields, the translation of mathematics papers is relatively easy. Just translate some notes and introductions into English. Most of the important argument content can be copied and pasted directly, and no special translation is required at all.
After reading the content of Wang Hao's paper, many mathematicians suddenly became excited.
No one is worried anymore.
Buckmaster's previous research attracted attention because he proved that to a certain extent, the solution set of NS equations is not smooth, that is, the NS equations may be unreliable.
This caused great concern in the mathematical community.
Most mathematicians cannot accept this conclusion, but they have not failed to find problems in Buckmaster's research.
If we define a faction, Buckmaster's research is the "evil" in mathematics, while Wang Hao's "wave bounded convergence" argument is an iron fist representing justice.
Now it is the iron fist of justice that defeats evil.
Wang Hao used mathematical methods to prove that Buckmaster's research was meaningless.
This is good news for the mathematics community, and many people think it is a perfect ending in which evil is defeated.
Of course.
Buckmaster definitely didn't see it that way. After he learned the news, he didn't say a word and just sat in his office reviewing Wang Hao's argument.
After careful study from beginning to end, I found no problems at all.
Wang Hao quoted some of his conclusions in his argument, which means that Wang Hao recognized his proof, but continued to demonstrate according to his conclusions, which shows that even if the merits are rough, the NS equation output is still bounded convergence.
.
Buckmaster understood what this meant better than anyone else.
Because the condition he proved is that "rough values ​​are allowed", and the instability of the output of the NS equation, or the output occasionally fluctuates greatly, is likely to have nothing to do with whether the NS solution set is smooth, but is directly related to the conditions for rough values.
.
It is difficult to say how rough the value is.
If the difference from the exact solution is too large, large fluctuations will naturally occur.
Let's take sketching as an example. As long as you don't draw an exact line, the line drawn on the edge of the exact line may naturally be farther outside.
Wang Hao used his research conclusions to continue his deduction and proved that his research had no meaning.
Buckmaster felt very angry and sad because his research was denied, and it was 100% denied, and his work was proved to be meaningless.
Mathematics cannot make sense, but people have emotions.
Buckmaster felt very angry, but if there was anything he could do, he might be considered a laughing stock after he went out.
At this time, a reporter came over to add fuel to the fire and wanted to interview Buckmaster about his opinion on Wang Hao's proof.
Buckmaster pushed open the office door. His eyes were red and looked a little scary. He almost yelled, "Even if my research is meaningless, the NS equation is still not smooth!"
"Wang Hao, he just refutes me to refute me!"
"that is it!"
After Buckmaster finished speaking, he re-entered the room and slammed the door.
"Bang!"
A huge sound filled the entire corridor.
Many people came out to see what was going on. Knowing it was Buckmaster's office, they walked back laughing and talking.
They're not completely mocking.
Buckmaster is a very capable mathematician, especially in the field of application of NS equations, and is recognized as an authoritative scholar.
But it is undeniable that his latest research was not welcomed by the mathematical community and has now been proven to be of little significance.
In addition, Wang Hao is indeed very capable.
Recently, the mathematics community has been discussing Buckmaster's research. Many mathematicians do not believe his conclusions, but they cannot find the problem. Only Wang Hao found the problem and proved it. The other party did not even
I care about the results and just publish them on the Internet.
Therefore, Wang Hao has definitely reached the top international level in the research of ns equations, and he is still very young, only in his twenties.
It seems natural that Buckmaster would be defeated by such a genius.
…
Public opinion let many people know the news.
The mathematics community is discussing it.
As the editor-in-chief of the top international mathematics journal "New Advances in Mathematics", Bruce Pulitzer naturally also knew the news.
He felt a little sorry.
The paper submitted by Wang Hao has been reviewed and his proof process is correct, and it has been confirmed to be published in the next issue of the journal.
In Pulitzer's initial understanding, Wang Hao's paper was correct and Buckmaster's paper was wrong, because the two people's conclusions were completely opposite.
This is what Pulitzer wanted to see.
In recent years, "Fundamental Mathematics and Applied Mathematics" has a tendency to impact the four top journals. If they can publish a wrong paper, the authority of the mathematics community will naturally be greatly questioned.
When the time comes, "New Advances in Mathematics" will publish another correct paper with completely opposite conclusions, and the comparison between the two will naturally consolidate its authority.
Unfortunately, what Wang Hao published on the Internet only shows that Buckmaster's research is meaningless, not that his research is wrong.
What is wrong is only the derivation of the last sentence, which can also be said to be 'association', and not the content of the paper itself.
The conclusions of Wang Hao's and Buckmaster's papers seem to be completely conflicting, but in fact, the contents of the papers are correct. However, the final inference of Buckmaster's paper is incomplete, and he did not conduct a demonstration on whether 'waves expand infinitely'.
, which directly shows that the ns equation may be non-smooth to a certain extent.
But he is correct about the instability of NS output when rough values ​​are allowed.
This is the pity.
"Fundamental Mathematics and Applied Mathematics" did not publish a wrong paper, it's just that the paper didn't make much sense.
In fact, as Wang Hao said, he only proved that his own research was correct, not that Buckmaster's research was wrong.
But thinking about Wang Hao's latest research, Pulitzer is still very much looking forward to it.
Wang Hao proved the smoothness of the NS equation under a range of values, and the problem of the NS equation is to prove that the NS equation is permanently smooth, that is, it is permanently applicable.
Wang Hao has completed part of the proof, even the most important part of the proof, because he proved the reliability of the NS equation under the normal value range.
In other words, for normal applications, there is no need to worry about the NS equation being unreliable.
As for other value ranges, it is purely a matter of mathematical theory research and application.
Of course.
The mathematical community attaches great importance to theoretical research, even more so than applications.
In any case, this is half a Fields-level achievement, and you may even win the Fields Medal for your research on the ns equation.
This seems to have little meaning to Wang Hao, because his achievements in the field of number theory are enough to win the Fields Medal.
Saikai University.
Wang Hao had received an invitation letter from the Science and Technology Awards Conference. The morning before the conference, he went to the capital with Professor Zhu Peng from the Department of Geology.
The research team led by Zhu Peng won the Science and Technology Progress Award for its research on mining technology.
Although it only won the second prize for the Science and Technology Progress Award, it is still quite remarkable.
Zhu Peng represented the team at the Science and Technology Award Conference.
To be continued...