Facts have proved that although there have been various news about Xiao Yi being researched on NS equation before, people seem to be ready for this matter.
But in fact, with the spread of the paper Xiao Yi, it still brought huge shock to the people involved.
All major media outlets rushed to report it. Even those media outlets that had previously published black drafts of Xiao Yi once again placed this news at the core of their newspapers.
"Mathematical genius once again proves the problem of the century, the last mystery of classical physics has been solved!""
"The genius who seems to come from the void: another proof of Millennium Prize Problems"
"Shocked!" He actually solved this math problem again..."
"..."
Even the media that had previously questioned Xiao Yi's IQ also wrote in its new title, "One of the Geniuses with the Highest IQ in the World"
So much so that quite a few netizens were mocking them under the media's news.
This actually made this media a lot more popular, at least higher than other media. People can't help but wonder whether this media did it on purpose.
Of course, let's not mention the reaction of the media. If it is important news to them, it is worth reporting. Only the reaction of the academic community can truly show their views.
UCLA.
In the area belonging to the Mathematics Department, every student's face was full of excitement.
"Hey, did you hear that? NS equation is proven!"
"NS equation? Isn't this an equation? What can it prove?"
"Stupid! Of course it's the problem in Millennium Prize Problems! The existence and smoothness of the three-dimensional incompressible NS equation solution!"
"Hou Li Xie Te! I remembered it, so this is what you were talking about! But how could it be? I remember another question in Millennium Prize Problems. It seemed to be the Yang-Mills mass gap problem. Wasn't it solved just two years ago? How come another problem was solved so quickly?"
"Hey, don't even look at who the person who proved NS equation is! Xiao Yi! That's Xiao Yi!"
"My dear, this sounds reasonable, but... how did he do it?"
"Instead of asking how Xiao Yi did it, you might as well ask what you had for lunch today. The latter is at least more meaningful."
"That's true."
"However, I would rather know what Professor Tao thinks now."
"Oh, don't worry about his opinion, he will definitely post it on his blog."
"That's true."
Professor Tao from the University of Los Angeles is naturally only Terence Tao.
As for what Professor Tao thinks at this time...
In the office.
"Gift crab!"
Terence Tao's eyes widened at this time, looking at the paper on the computer in disbelief.
He already knew about Xiao Yi's paper not long after it was published, and then quickly logged on to Xiao Yi's website, downloaded the paper, and started reading.
Fortunately, Xiao Yi's paper was written in English, otherwise he would probably have to find someone to help translate it.
Although he can speak Cantonese, if he really wants to read Chinese papers, he will still be blind.
Of course, the words or not were completely unimportant once he started reading this paper.
Because he has seen the path taken by Xiao Yi in this paper.
"Incredible! He actually chose to prove it from more general initial conditions!"
After he came up with the explosive trend theory in Xiao Yi, he made inferences. Using this theory can help mathematicians prove the more general NS equation. Of course, this is still quite difficult, so he never thought that anyone could actually achieve this.
More in line with the expected situation, one should first prove NS equation under specific initial conditions, and then extend this proof to more general situations.
Now, with the more general proof of Xiao Yi, it can basically be extended to specific initial conditions.
This is also the purpose of generalized proofs!
"Really? A more general proof that he can really do it?"
And next to him, there was another person sitting.
It is James·Maynard.
It is now January 2024, and the new Joint Mathematics Meeting is about to be held, so he is here again.
As for the annual mathematics conference of Princeton University, because there was no such heavyweight report as Twin Prime Conjecture this time, it did not receive much attention.
However, they never expected that before Joint Mathematics Meeting was held, Xiao Yi would come up with such an important proof.
"Jesus! I think he should have done it. You don't know how perfect this new function space he created is!"
Terence Tao exclaimed repeatedly, waved to Maynard, and said, "Why don't you come and see for yourself?"
"Uh... I haven't studied much about partial differential equations, um, but since it's a function space, I can take a look."
Maynard came up.
"Hmm... huh?! Wait! This function space..."
As Maynard began to analyze this new function space, his eyes gradually widened.
Function space plays a very important role in mathematics. It is an important method in Functional Analysis and exists in many fields, not just partial differential equations. The applicable area of function space can be found in almost any mathematical direction.
Of course, depending on the nature of different function spaces, their applicable ranges are also different.
For example, Xiao Yi mainly studied Sobolev space in order to create Xiao's Space. It can not only be used in PDE. In fact, it can play a role in various fields such as calculus of variations, numerical analysis, mechanical and structural engineering, computers, etc.
Now, Xiao Yi has summarized the characteristics of various function spaces, and through various innovative changes, it has created a space that is perfect for analyzing NS equation. A simple look at Maynard can tell that it has a huge effect not only on NS equation.
First of all, it will definitely play a very huge role in various PDE research except NS equation. In addition, considering the characteristics of this space, maybe even if it is used in the analysis of Algebraic Topology, it may not disappoint mathematicians.
Maynard couldn't help but marvel. "This brand new function space... is really a bit too perfect, isn't it?"
"Yes."
Terence Tao, who had already seen this, nodded at this time and said with emotion, "It is indeed quite perfect... so perfect that it is impossible for our current mathematical community to achieve it."
"But I can only say that Xiao Yi is always able to do things we can't imagine."
Terence Tao said.
"Two Millennium Prize Problems, but the interval between them was less than two years." Maynard couldn't help but sigh at this time.
No matter what, they will never forget this crucial point.
The status of Millennium Prize Problems is unquestionable in the mathematical world.
Two years ago, mathematicians around the world would never have imagined that such a difficult problem would suddenly be solved.
After that, mathematicians obviously would not have thought that another problem would be solved less than two years later.
"Two million US dollars in prize money." Maynard said.
Each time you solve one of the questions, you will receive a prize of one million US dollars provided by Clay Mathematics Institute.
Of course, because each problem needs to be verified for at least two years to be solved and widely accepted by the mathematics community, Clay Mathematics Institute will officially award this award.
For example, Perelman proved Poincaré Conjecture. After seven years of verification, and the mathematical community basically confirmed that his proof was correct, Clay Mathematics Institute chose to officially award this award.
Of course, this is mainly because Perelman's paper is too "obvious", and mathematicians have to spend more time verifying his proof for these obvious parts.
However, Xiao Yi's proof of the mass gap problem has been recognized by the mathematical community since International Congress of Mathematicians in 2022. It is estimated that it will be almost two years after July this year.
Terence Tao shrugged. "Yes, two million, but I think with Xiao Yi's current net worth, he probably doesn't care about this small amount of money at all."
"Yes." Maynard said with envy, "It's really unexpected that he has such a strong ability in material research. Sometimes I really doubt whether he is the real God."
They are top mathematicians who serve as consultants and help analyze problems. For example, Terence Tao is also a member of President's Council of Advisors on Science and Technology, and has also studied AI intelligence technology for White House.
These positions can earn them quite a lot of money, but compared to the money they can make by creating the world's top technology patents like Xiao Yi and then setting up a patent company, it is still much less.
Terence Tao shrugged, then started working on the computer, opened his personal blog, and said, "Now is the time to post a blog."
Hearing his words, Maynard couldn't laugh or cry, and complained, "You and the former President of the United States are actually quite destined. Both like to post things online, but he likes to tweet, and you like to blog."
"Damn! Don't mention that guy to me!"
Terence Tao glared at Maynard angrily, "He and I don't get along."
Maynard suddenly laughed.
Terence Tao once commented on his blog that the former president was not suitable to be president. Then the former president responded on Twitter and said that Terence Tao was a failed analyst because he could not prove Soichi Kaketani's conjecture.
Naturally, the two of them met.
After laughing for a long time, Maynard finally waved his hand and said, "Okay, okay, I won't say anything anymore. Just write it quickly. I guess there are many people waiting for your blog now to see what 'Tao, who knows a little bit about everything,' thinks of this paper."
Terence Tao pointed his middle finger at him, then looked at the computer screen again. After thinking for a moment, he started typing.
[Who would have thought of that? Maybe I thought of it before, but I still rejected it in the end.
Xiao Yi actually achieved this incredible result - proving the NS equation problem under more general conditions.
Well, okay, maybe Xiao may have been doing this when I made the inference before. After all, he researched the explosive trend theory, and with his wisdom, he would not have thought that he could use the explosive trend theory to directly realize the general proof.
But I still want to express my surprise.
He really did that and made it happen.
Believe me, after doing this, maybe the Explosion Trend Discrimination Model he created before will become more practical, and other more comprehensive models can be created from it, which can be used to help optimize the fluid dynamics model, etc...
...]
There are indeed quite a few people following Terence Tao's personal blog, so as soon as his blog was posted, it was forwarded and shared by people from all walks of life. Within just a few hours, it spread throughout the mathematics community.
For those who have not read the paper, you can roughly know from this blog of Terence Tao that Terence Tao confirmed the proof of Xiao Yi.
Those who have read the paper but haven't understood it can realize that Xiao Yi's paper has once again reached a level that is difficult for others to achieve.
A more general proof.
After learning this news, it really caused a lot of shock.
If it is a proof under specific initial conditions, then it can only be said that the problem has been solved, and it can have greater significance for the relevant models under these specific initial conditions.
The current result, as Terence Tao said in his blog, can be used to help optimize the fluid model, etc. It can be said that its effect has been directly improved by several levels.
For a moment, those who had secretly wanted to blackmail PDE Industrial Alliance were dumbfounded.
No, can you still play like this?
Are you going to prove such a difficult issue directly without agreeing to a single word?
How about we each take a step back, we are no longer in the dark, and you can also put away this certificate of yours, okay?
But obviously, unless we turn back time, this kind of thing will definitely not exist.
So they could only grit their teeth and swallow it.
Of course, compared to these little black guys, the people here at the PDE Industrial Alliance in China all laughed.
The result achieved by Xiao Yi is simply great news for them.
Not only is it a powerful counterattack to the rhythms of the previous period, but it can also bring an extremely huge impetus to their future development.
"Let me just say, Xiao Yi is awesome! I don't know what to do with these foreign things!"
USTC, Tang Fucheng went directly to the Shen Gensheng door and laughed.
Shen Gensheng also smiled and said with emotion, "He has indeed never let anyone down. He actually solved such a difficult problem so quickly. He is really unique in the world."
Tang Fucheng smiled and nodded, but then he asked, "However, I am still very curious. Logically speaking, his papers are all public. Why don't foreign countries make their own PDE Industrial Alliance?"
"It's very simple." Shen Gensheng smiled. As a physics expert who specializes in rare earths, he also has a deep understanding of China's industry.
"Because our industry ranks first in the world and we have the most complete industrial chain in the world."
"If you want to train a model, you first need a large amount of data, all kinds of different data, and we are the only country in the world that can provide data in these various fields to train the model."
"As for foreign countries, if they want to start it, they have to first discuss who should control the organization, and then consider how to get the data."
"No matter what happens in the end, the model they trained will not be as useful as our model. I don't need to say more about what the market will choose then, right?"
Tang Fucheng was stunned, but he didn't expect the reason to be so simple.
But then, he also sighed slightly, "After all, we have to rely on Xiao Yi to do it first."
Shen Gensheng nodded. "Yes."
If Xiao Yi hadn't thought of coming up with this thing first, and directly approached them, established this organization, and seized the opportunity.
Otherwise, foreign countries may seize the opportunity.