Section 255

The couple started fighting over who would inherit their son's IQ.

But not long after, when the time reached 10 o'clock, a person walked onto the podium, it was Bao Hexin.

He can be regarded as the host of this report meeting.

"Ladies and gentlemen, good morning, everyone. I am Bao Hexin, president of Huaguo University of Science and Technology, and I will serve as the host of this report."

"I think NS equations have always been at the forefront of the charm of academic circles. I can see that from the many international friends who came to the scene."

"The existence and smoothness of the solution to the NS equation, as one of the seven major problems of the millennium, is also the last problem of classical physics and has always been an important issue that the mathematics and physics communities are competing to solve."

"It is not only an important issue in the field of mathematics, but also related to all aspects of reality. All research related to fluids is closely related to it."

"In the past, we thought we were still far away from solving this problem."

"But luckily, we have Xiao Yi!"

"First, the emergence of the blasting trend theory explained the formation principle of blasting cracks, thereby explaining the singularity problem in partial differential equations."

"Then came the birth of a brand new function space - Xiao space, which completely brought an end to the NS equation problem."

"Solving an important mathematical problem often requires the development of new mathematical tools, and Xiao Yi is undoubtedly successful."

"Well, I think everyone can't wait to hear Xiao Yi share his two mathematical tools and his proof ideas, so let's invite Professor Xiao Yi!"

The side door was pushed open and moccasins came out, accompanied by the sound of footsteps.

Xiao Yi finally walked out.

Applause burst out immediately.

"Our son is so handsome."

In the audience, Du Xin looked at Xiao Yi's outfit, applauded and praised.

"Inherited from me." Xiao Guohua said.

"My son is like my mother." Du Xin rolled his eyes.

…

"Tsk, why do you feel like he's become more handsome than before?"

On the other side, Tao Zhexuan looked at Xiao Yi who came out and couldn't help but say something.

"If he hears you say that, he will definitely be very happy." Qiu Chengtong smiled.

"I have become more mature than before." Fefferman commented.

"That's right." Tao Zhexuan nodded.

Looking at Xiao Yi, he seemed to see the same high-spiritedness when he was young, but now he is 49 years old, and he will be 50 next year, and it will not be many years before he enters old age.

…

The applause became more and more enthusiastic. In addition to the scholars, there were also quite a few students. Whether it was the University of Science and Technology, Huizhou University, or Feicheng University of Technology, many students came here because of their fame. They were probably the most popular ones on the field. Excited people, after all, others may have come for the report, but they are all Xiao Yi's fans.

On the stage, Xiao Yi walked vigorously to the middle, nodded to Bao Hexin, and the latter left the podium and returned to his seat.

Xiao Yi bowed slightly to those present, raised his head, and pressed his hands, indicating that they could stop applauding.

Soon, the applause stopped.

"Hello everyone."

He said: "First of all, on behalf of myself, I would like to welcome everyone to Fei City. Fei City is a city with a history of more than 2,000 years and has a long heritage. I believe that every friend who comes to Fei City will not be disappointed with it." The city is disappointed."

Well, this passage was GG that someone from the government asked him to read.

"Then, no more nonsense, this report will officially begin."

As he operated, the PPT flipped.

The subject of this report then appeared on the big screen behind him.

[Existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equation]

"When we take a boat and meander on the lake, the waves follow our boat, and the water flow fluctuates, forming a wake; when we fly in a modern jet aircraft, the turbulent airflow follows the aircraft, It not only provides us with upward momentum, but also provides us with forward momentum.”

"Mathematicians and physicists believe that by understanding the solutions to the NS equations, explanations and predictions of breezes and turbulence can be found."

"Even though these equations were written down in the 19th century, our understanding of them remained poorly understood for a long time."

"And the first problem lies in the issue of singularity."

The PPT page turns again.

On this page, singularity is explained in detail.

"The reason why it is called singularity is because it is very strange compared to physics, or in other words, it cannot occur in the physical world."

“In PDEs, this can manifest itself as solutions tending to infinity, discontinuities, unboundedness of derivatives, or solutions being undefinable at certain points or regions.”

Xiao Yi picked up the cup he brought aside and said, "It's as if this cup of water suddenly exploded."

"But obviously, unless there are superpowers in this world, this kind of thing is absolutely impossible to happen."

Speaking of this, Xiao Yi recalled his original idea again and joked: "Perhaps, if someone really is a superpower, maybe the principle of his ability is to have the ability to manifest explosive decomposition into reality?"

There was laughter in the audience.

"Well, it is undeniable that the singularity has had a considerable impact on our proof of the NS equation, so much so that we have to choose a special initial condition when doing the proof."

"It doesn't have so many weird properties, it has to be absolutely smooth and ideal."

“But as everyone knows, I started out as a mathematician.”

"Perhaps the thinking of a mathematician has influenced me, so I feel that the initial conditions designed in this way are not beautiful, or elegant, so I think that finding the formation principle of singularity will help me."

While talking, Xiao Yi dragged the small blackboard that had been prepared to the front and began to write the formula on it.

"First, let's construct an energy inequality."

∫_Ω(1/2∣u∣^2)dx+ν∫(T, 0)∫_Ω∣u∣^2dxdt=……]

"This energy inequality will provide a key a priori estimate for subsequent analysis."

"As mentioned in my paper on blasting trend theory, I constructed some relatively sophisticated mathematical models. Under the analysis of this sophisticated mathematical model, it is possible to simulate the changes in the fluid during the direct numerical simulation process. The details are displayed cleanly, allowing us to use these changing data for more detailed analysis.”

"Although it must be admitted that this is a stupid method, I have to say that its effect is very significant."

"Through a lot of data analysis, I discovered the characteristics of blasting cracks."

"Next, I will use a relatively obvious set of data to show my analysis process."

Then, Xiao Yi began to write on the blackboard.

Off the court, quite a few people suddenly became attentive.

How Xiao Yi analyzed those data has always been a curiosity in academic circles.

But in his original paper, he only presented the analysis results without showing the specific process.

And now, can his analysis method finally be demonstrated?

For a moment, even Terence Tao paid full attention.

This analysis method can analyze the characteristics of blasting cracks, so it will inevitably play a huge role in other aspects of data analysis.

What you need to know is that a key step in the method of direct numerical simulation is data analysis.

And soon, their eyes couldn't help but widen.

Because Xiao Yi's analysis method is so dazzling!

"That's the smell..."

Tao Zhexuan sighed and leaned back on the seat back.

"He is the only one in the world who can achieve such analytical skills and thinking, right?"

Fefferman next to him couldn't help but said: "I can't do it anyway, whether it's me now or me when I was young, otherwise, I might have solved this problem long ago."

Qiu Chengtong also felt the same way.

Seeing Xiao Yi peeling off so much complicated data, completely revealing the details inside, including the characteristics that led to the formation of explosive cracks, were also guided by Xiao Yi. In addition to being amazed, he also felt All that's left is relief.

Although China has still not made much progress in basic mathematics, with such a young man, it is basically enough.

This analysis did not take Xiao Yi too much time.

What may seem like a show off to others is as simple as eating and drinking to him.

Soon, he stopped the blackboard pen in his hand, turned around and said, "Okay, that's basically it."

"In short, by analyzing a large amount of data to find out the blasting characteristics, we can get an inequality."

"After that, we can judge based on this whether explosion will occur under the current initial conditions."

“I also call this the explosive trend.”

"I will not go into details about the analysis of other more data. Using my set of analysis methods, it will be easy to analyze. Of course, this set of methods can also help with other data characteristics, but this is It needs to be jointly explored by the academic community.”

Xiao Yi stopped for a moment to give the people present time to absorb the information.

Picking up his water glass, he took a sip of water, and then he continued: "Okay, now that we have solved the problem of singularity."

"Then it's time to formally target the NS equation problem."