The top student must be diligent.

Chapter 222 The King of Analysis
When Xiao Yi heard Liu Cong's words, a helpless expression appeared on his face.

"A 20% chance of success is too low, don't you think? And once the project is officially launched, the amount of money invested in it will probably be no less than 10 billion."

Liu Cong smiled and said, "That's nuclear fusion! According to the Karakashev civilization level, once nuclear fusion is developed, human civilization will be able to directly enter level 1.0."

"Just think about it. Over the past few hundred or thousand years, we, the entire human race, have invested no less than trillions or tens of trillions in scientific research, and yet we have only achieved a level of 0.7."

"And now, if we only need to invest tens of billions of dollars, there is a 0.3% chance that we can directly improve by and become a first-level civilization. Do you think it is worth it?"

Xiao Yi twitched his lips and said, "What if there is only a 10% chance of success?"

“It’s worth it.”

"Half percent?"

“It’s just as worth it.”

"Zero percent?"

Liu Cong didn't say anything, just looked at Xiao Yi.

Xiao Yi laughed, then waved his hand and said, "Okay, I won't say much about the rest. Like I said just now, if the key research is not completed, there will always be only 0% confidence."

“Only if that key research can be completed will nuclear fusion have a chance of being realized.”

Liu Cong nodded, and then couldn't help but ask curiously: "What is that key research?"

"The first wall material..." Xiao Yi pondered for a moment and said, "But now I prefer to call it fusion energy exchange material."

"This!" Liu Cong suddenly realized: "I know this, it is indeed a big problem. I have always been curious about what kind of material can withstand temperatures of hundreds of millions of degrees."

He asked again: "Then...how confident are you about this research now?"

Xiao Yi shook his head: "It's hard to say. This kind of material requires the help of luck to a certain extent. I hope God can give me such luck."

Liu Cong nodded, patted Xiao Yi on the shoulder and said, "I believe that luck has always been taking care of you."

"Maybe." Xiao Yi did not comment.

To some extent, his luck is indeed pretty good. After all, even the cheats have favored him.

At this moment, there were sudden knocks on the door of the lounge. The two turned around and saw Bao Hexin standing at the door, knocking, alerting them.

After all, the scale of this lecture is quite large, so Principal Bao Hexin also wants to come and take a look.

Seeing the two people looking at him, Bao Hexin walked forward, greeted them, and then said to Liu Cong: "Director Liu, you are here too."

Liu Cong smiled and said, "Such a large academic conference, with so many foreign experts, of course I have to come and see what's going on."

Then he looked at the time and said, "Well, it won't be long before the report starts, so I won't bother Xiao Yi anymore and will go wait in the audience seats."

He waved to the two of them and prepared to leave.

Xiao Yi said: "Okay, Director Liu."

"Oh, by the way, let me correct you, it's the Kardashev civilization level, not Karakofshov."

Liu Cong was stunned for a moment, then he laughed and said, "It seems that I was confused with Kalashnikov. I understand."

He waved his hand, said nothing more, and left.

Principal Bao looked confused and asked, "What did you just say? Why did you mention the Kardashev level of civilization? What big plans do you have?"

Xiao Yi smiled and said, "Is controlled nuclear fusion a big plan?"

Bao Hexin was stunned and laughed: "Well, it is indeed a big plan. I wish you success."

Xiao Yi could tell at a glance that Bao Hexin was treating it as a joke.

Of course, if other people were to come over, they would probably just think it was a joke.

Just like the fifty years of nuclear fusion, it has become a joke.

As for whether it will succeed or not, only he knows the final outcome.

"Okay, I won't say anything else. This report will be extraordinary, whether it is for our University of Science and Technology or for our Fei City."

Bao Hexin said: "It's only 10 minutes until 10:00, so I wish you success in advance."

He just came backstage to take a look at Xiao Yi. After saying this, he left.

Xiao Yi was the only one left in the lounge again.

I thought again about what Liu Cong had just said.

He shook his head with emotion. He never expected that the White House would pay attention to his research on nuclear fusion.

Of course, what surprised him even more was that the country was actually willing to take such a gamble.

However, in terms of expectations, this bet of at least tens of billions is still worth it.

Although there is an 80% probability of a profit of 0, there is still a 20% probability of a profit of infinity, so the expected profit of this gamble is also infinite.

It’s just a few hundred billion, just spend it.

Of course, since the country is so optimistic about him, all he can do is to try to increase the 20% chance even higher.

"Professor Xiao, the time is almost up here, you can get ready."

At this time, the staff came in and said to him.

Xiao Yi came back to his senses, then nodded and said, "Okay, I understand."

He stood up, walked to the mirror, looked at himself, and tidied his appearance.

This suit was specially tailor-made and did not feel baggy at all when he wore it. Compared with many other very thin scientists, his body shape was relatively well-proportioned. Even the designer who designed clothes for him said that he had a good clothes hanger.

So, in terms of image, he can be considered as T0 level among many scientists, otherwise his fans would not be all over the world.

"Well, I'm still as handsome as ever."

After boasting a few words in his mind, he left the lounge and prepared to go on stage.

……

At the same time, more than 2000 seats in the conference hall were full.

Although the official number of participants was less than 2000, the actual number of people present exceeded this number.

As the time for the report to officially begin approached, the people at the scene gradually became quieter, with only the rustling of some low discussions remaining.

“There are too many people.”

Sitting in a seat in the front row, Xiao Yi's mother Du Xin looked around and said to Xiao Guohua, Xiao's father, with surprise.

This was the first time that Xiao Yi held a lecture in Fei City. As parents, they were very curious about what the scene was like. Although they had seen it many times before through videos and live broadcasts, it was obvious that what they saw on the screen was not as profound as what they felt in person.

Looking at the dense crowds of people around them, including quite a few foreign faces, the parents were deeply shocked to think that so many people had come here from all over the world just to attend their son's lecture.

This time they truly felt how powerful their children had become.

"Tell me, how did our son become so smart? Who did he inherit it from?"

Du Xin poked Xiao Guohua and asked in a low voice.

"That must be my genes. If my family hadn't been poor, I would have at least been a top student who returned from overseas. Just imagine how valuable overseas returnees were at that time!"

Xiao Guohua said.

Du Xin looked at him with disdain: "How shameless! We both graduated from the same university, and I don't even know your grades?"

Then she thought about the genealogy of the Lao Du family and said, "I think it's inherited from me. One of my ancestors was a Jinshi."

Xiao Guohua rolled his eyes and said, "My Xiao family's ancestor was Xiao He."

The couple began to argue over who their son inherited his IQ from.

But not long after, when it was 10 o'clock, a man walked up to the podium. It was Bao Hexin.

He served as the host of this report meeting.

"Good morning, ladies and gentlemen. I am Bao Hexin, president of the China University of Science and Technology, and I will be the host of this seminar."

"I think the appeal of the NS equation has always been at the forefront in the academic community, and I can see that from the many international friends who came to the event."

"The existence and smoothness of solutions to the NS equations, as one of the seven great problems of the millennium and the final problem of classical physics, has always been an important problem that the mathematics and physics communities have been competing to solve."

"It is not only an important problem 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 that this problem was still a long way off."

"But fortunately, we have Xiao Yi!"

"First, the theory of blow-up tendency emerged, which explained the formation principle of blow-up solution and thus explained the singularity problem in partial differential equations."

"Then a new function space, Xiao space, was born, which put an end to the NS equation problem."

"Solving an important mathematical problem often requires developing new mathematical tools, and Xiao Yi has undoubtedly succeeded."

"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 to come out!"

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

Xiao Yi finally came out.

Applause broke out immediately. "Our son is so handsome."

Below the stage, Du Xin looked at Xiao Yi's outfit and praised him while applauding.

"It was inherited from me." Xiao Guohua said.

"My son looks like his mother." Du Xin rolled her eyes.

……

"Tsk, why does he seem more handsome than before?"

On the other side, Terence Tao 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 said with a smile.

"Becoming more mature than before," Fefferman commented.

"That's true." Tao Terence nodded.

Looking at Xiao Yi, he seemed to see himself when he was young, full of the same vigor and vitality, but now he is 49 years old, and will be 50 next year, and it won’t 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 lot of students. No matter whether it was the University of Science and Technology of China, Huizhou University, or Feishi University of Technology, many students came here to attend the event. They were probably the most excited people in the audience. After all, others might have come for the lecture, but they were all fans of Xiao Yi.

On the stage, Xiao Yi walked to the middle with powerful steps and nodded to Bao Hexin, who then left the podium and returned to his seat.

Xiao Yi bowed slightly to the people present, raised his head, and pressed his hands, signaling that they could stop applauding.

Soon, the applause stopped.

"Hello, everyone."

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

Well, this is the advertisement that the government asked him to read.

"Well, let's not waste any more time talking about other nonsense. This report will officially begin."

As he operated, the PPT flipped.

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

【Existence and smoothness of solutions to the three-dimensional incompressible Navier-Stokes equations】

"When we are in a small boat, meandering on the lake, the waves follow our boat, the water ripples and forms a wake; when we fly in a modern jet plane, the turbulent air follows the plane, providing us not only with lift but also with forward force."

"Mathematicians and physicists believed that by understanding the solutions to the NS equations, they could find explanations and predictions for breezes and turbulence."

"Even though these equations were written down in the 19th century, for a long time we understood very little about them."

“And the first problem is the problem of singularity.”

The PPT page turns again.

On this page, singularity is described in detail.

"It is called a singularity because it is very strange relative to physics, or in other words, it cannot happen in the physical world."

"In PDEs, this can manifest itself as solutions going to infinity, discontinuities, unbounded derivatives, or solutions being undefined at certain points or in certain regions."

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

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

At this point, Xiao Yi recalled his original idea and joked, "Perhaps, if there really is someone with super powers, perhaps the principle of his ability is to materialize the explosion into reality?"

There was laughter from the audience.

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

"It has to be absolutely smooth and ideal without all these weird properties."

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

"Maybe the ideas of mathematicians have influenced me, so I think the initial conditions designed in this way are not beautiful or elegant, so I think finding the formation principle of singularity will help me."

As he spoke, Xiao Yi dragged the small blackboard that had been prepared long ago 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 prior estimate for subsequent analysis."

"As mentioned in my paper on the explosion trend theory, I have constructed some relatively sophisticated mathematical models. Under the analysis of such sophisticated mathematical models, the details of the fluid changes can be clearly displayed in the direct numerical simulation process, so that we can use the data of these changes for more detailed analysis."

"Although it must be admitted that this is a stupid method, it must be said that its effect is very significant."

"Through a large amount of data analysis, I discovered the characteristics of the blasting solution."

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

Then, Xiao Yi began to write on the blackboard.

Off the field, many people suddenly became focused.

How Xiao Yi analyzed the data has always been a matter of great curiosity in the academic community.

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

And now, can his analytical method finally be demonstrated?
For a moment, even Terence Tao paid close attention.

This analysis method can analyze the characteristics of blasting, so it will certainly be able to play a huge role in other aspects of data analysis.

It should be noted that a key step in the direct numerical simulation method is data analysis.

Soon, their eyes widened.

Because Xiao Yi's analysis method is so showy!

“That’s the taste…”

Tao Zhexuan sighed and leaned back on the back of his seat.

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

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

Qiu Chengtong also feels the same way.

Watching Xiao Yi peeling off so much complex data like peeling off silk from an onion, completely displaying the details inside, including the characteristics that led to the formation of the explosive solution, all of which were derived by Xiao Yi, his heart was filled with amazement and relief.

Although China still hasn't made much progress in basic mathematics, having such a young man is basically enough.

This analysis did not take Xiao Yi too much time.

What others see as a show of skill is as simple as eating and drinking for him.

Soon, he stopped writing on the blackboard pen, turned around and said, "Okay, that's basically it."

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

"Then we can use this to determine whether an explosion will occur under the current initial conditions."

“I also call this a bursting trend.”

"I will not elaborate on the analysis of other data. Using my analysis method, it will be easy to analyze. Of course, this method can also provide help for other data features, but this requires the joint exploration of the academic community."

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

He picked up his water cup and took a sip of water, then continued: "Well, now that we have solved the problem of singularity."

"Then we should focus on the NS equation problem."

"As Professor Terence Tao mentioned in his blog, once we have explained the singularity problem, we can try to prove the NS equations from more general initial conditions."

"As a mathematician, I naturally prefer this kind of proof."

"The more general, the more abstract, and the more abstract, the more general."

"Then how to choose the appropriate function space becomes the key issue at this time."

Xiao Yi smiled slightly: "Obviously, the various function spaces at present cannot help us adapt to the explosion trend theory well."

“We need a more appropriate space.”

"The question is, what kind of function space is the most suitable function space for the NS equations?"

Xiao Yi turned around, erased all the previous data analysis processes on the blackboard, and then began to analyze the function space again.

This analysis is more complex and abstract than the previous ones.

At this point, it can no longer be simply called a show of skill, but a completely new analysis system.

Looking at those wonderful analysis steps, Terence Tao spread his hands.

"The only one who can defeat Xiao Yi is probably him, right?"

Feferman puts it this way: “He is the king of analysis!”

(End of this chapter)