Great Country Academician

Although he was fooled, Tillman didn't complain much.

Especially after personally presiding over (with the assistance of Liang Qu) an operation experiment of the Huaxing fusion device, all the obsessions and dark clouds in my heart disappeared.

Stellar simulators can also realize controllable nuclear fusion technology!

There is no problem with his thinking!

The only regret is that he did not complete this road himself.

But Tillman doesn't have many shortcomings in this regard.

After all, human abilities are limited, and he knows very well where his upper limit is. Even if the Planck Plasma Institute continues to support him in his work on the stellarator, it will be difficult for him to lead the team to complete controllable nuclear fusion technology.

Before that monster-like young scholar appeared, controllable nuclear fusion technology was recognized by the world as forever, and there was almost no hope of a breakthrough at least at the beginning of this century.

Whether it is the CNC model of high-temperature plasma turbulence, the first wall material, or the tritium self-sustaining circulation system, they are all mountains in the field of controllable nuclear fusion.

For him, climbing over one of them would take a lifetime of hard work.

It is hard to imagine what kind of wisdom that young genius scholar used to solve all the problems in the middle.

Perhaps this is not his alone, but Tillman believes that his contribution in solving this century's project is definitely the most important.

For Xu Chuan, Professor Tillman Lunt’s role is not only in the construction of the Circular Super Particle Collider CRPHC, but his applications and insights into superconducting materials and superconducting magnets are worth exploring. field.

For the Chuanhai Research Institute, which has mastered copper-carbon-silver composite superconducting materials, this is definitely the most suitable talent.

For such a top three expert in the world, even if a few random people are placed next to him, they can learn a lot from them.

The CRPHC Circular Super Particle Collider was launched and the seminar concluded. After arranging Professor Tillman, Xu Chuan also returned to his normal work.

Life is fairly regular, basically commuting between the villa at the foot of Purple Mountain, the Xinghai Research Institute, and the NTU teaching building.

As for the construction of the collider, that doesn't require him to worry too much.

With the support of Tai Xuewen and the Chinese Physical Society, as well as the help of Professor Tillman, at least he does not need to intervene before the detector is deployed.

The days go by like this, and in the blink of an eye, more than half a month of New Year's Day in 2023 has passed.

Calculating according to the days of the lunar calendar, it will be the festive New Year in about ten days.

In his office on the NTU campus, Xu Chuan picked up the journals and papers he had put down for a while and started reading them.

After a while, there was a knock on the door of the inner room, and his student Yin Shi walked in with his notebook.

"Professor, I have some questions I would like to ask."

Hearing the sound, Xu Chuan put down the journal in his hand, looked at his student and said with a smile: "What's the problem? Let me take a look."

This leisurely period of time gave him enough time to teach students at NTU and mentor a few of his own students.

For this rare "missing" tutor, several new students who started last year also took the time to ask for advice and learn.

So much so that most of the other students have gone home for the winter vacation to prepare for the New Year. Yin Shi and others are still studying on the campus of Nanjing University.

Taking the notebook from Yin Shi, Xu Chuan's eyes fell on the mathematical formulas on the turned page.

"A class of second-order completely nonlinear partial differential equation problems is a bit interesting."

Looking at the calculations on the notebook, there was a hint of interest in his eyes.

Since completing the proofs of the Yang-Mills Millennium Problem of existence and mass gaps, he has not devoted his energy to the field of pure mathematics for a long time.

When he saw the problems of the primary school students he was taking care of, his interest immediately arose.

Staring at the calculations on his notebook, the mathematics in his mind began to spin rapidly as usual. After thinking for a while, he stood up, walked to the corner of the office, and pulled out a mobile blackboard from inside.

He glanced at the notebook in his hand, handed it to Yin Shi, and then said: "For a class of second-order completely nonlinear partial differential equation problems, there are many variations in the solution methods."

"But the Green function you proposed has a similar theorem for the complex Hessian operator 'Hm'. When m = 1, the result is known. When m = n, there is also L. Lempert's result. However it needs to be considered when 1

While explaining, Xu Chuan took out a piece of white chalk from the chalk box and wrote lines of calculations on the blackboard.

[Suppose Ω is an open area of ​​Cn, u is a smooth function defined on Ω, the Hessian matrix of u is (u/zjzk), and its eigenvalues ​​are λ1, λ2,···,λn. For 1 6 m 6 n, define the complex Hessian operator as Hm(u)={∑1≤j1

[For z0∈Ω, consider the following Dirichlet problem:]

[{1; u∈ Dm, 2: Hm(u)=δz0, 3: u(z)= cGm(z z0)+ o(1), when z→ z0, c \u003e 0, 4: u|Ω= 】

【.】

In the office, Xu Chuan explained seriously, and those standing aside listened carefully, with some thoughtful expressions on their faces.

Obviously, no matter how many books and papers he read, he could not learn these technical things.

The calculations on the blackboard soon covered the entire surface. Xu Chuan picked up the blackboard eraser and was about to erase the calculations on it and continue writing. Yin Shi, who was thinking about it, suddenly trembled and quickly stretched out his hand and shouted Blocked:

"Wait a minute, Professor!"

Startled by Yin Shi's sudden violent behavior, Xu Chuan turned his head to look at her and said, "What's wrong? What don't you understand?"

Yin Shi smiled shyly, took out her mobile phone from her pocket, and said, "Professor, please allow me to take a photo first!"

The corner of Xu Chuan's mouth twitched. He had brought several students with him, so this one would take out his mobile phone from his pocket to take pictures and keep these things when he was explaining the problem.

"Shoot, snap, shoot."

Waving his hand, Xu Chuan stepped aside slightly and allowed the primary school student to record the information on the blackboard.

Compared with the other three students recruited at the same time, Yin Shi's memory and quick understanding ability are slightly inferior, but she can always find some clever ways to supplement them in other aspects.

It's like using your mobile phone to record the calculations on the blackboard and then go back and study them slowly.

After the chalk in his hand once again covered most of the calculations on the blackboard, Xu Chuan threw the remaining chalk heads into the chalk box and said:

"The problem of solving the degenerate complex modified equation with a concentrated singular point is a completely geometric proof on a traditional basis. It uses holomorphic transformation as the basic tool, and the control of the order of the singularity is also necessary. conditions, otherwise there will be many strange solutions.”

"But in my opinion, this is not the case for Green's function problems of a class of second-order completely nonlinear partial differential equations. In addition to its geometric significance, it is also a very meaningful problem to give a geometric explanation of the above singular solution. "

"If I remember correctly, there are a lot of conjectures and problems on this type of issue."

"For example, give an analytical proof of the L. Lempert theorem I just talked about and weaken its conditions. Or study the solution of the Dirichlet problem of nonlinear operators with controllable singularity at a specified point. Existence and uniqueness are also very meaningful issues in PDE analysis."

"If you are interested, you can work hard in this area in your future doctoral career and mathematics career."

On the side, Yin Shi, who looked thoughtful, was obviously still immersed in it. He nodded blankly along with Xu Chuan's words and said, "I will work hard."

Before she finished speaking, she suddenly came back to her senses, feeling suddenly nervous and apprehensive.

After swallowing a breath of air, Yin Shi asked cautiously: "Professor, can I ask, are the two questions you mentioned difficult?"

Xu Chuan thought for a while and said with a smile: "It's not difficult. The difficulty of these two problems should be about the same as the problem your senior brother Cai Peng solved."

"Oh, that's good."

Hearing that it was not difficult, Yin Shi breathed a sigh of relief subconsciously, and then the next sentence reminded her of something, and the expression on her face suddenly fell.

If she remembers correctly

Senior Brother Cai's question seems to be a world-class problem, right?

With a sad face, Yin Shi asked naggingly: "Professor, these two questions you mentioned are not my graduation thesis, are they?"

Xu Chuan glanced at her in surprise and said, "No. This is just a research and study direction I provided you."

After a pause, he smiled and said: "Of course, if you want, you can choose one of these two questions as your graduation."

Before she finished speaking, Yin Shi quickly shook her head and replied: "No, no, no, professor, if you use a world-class problem as your graduation thesis, people will die. It will really kill people!"

If she really wants to do this, she will seriously doubt whether she can graduate in this life.

After all, not everyone can solve a world-class problem. Even if Senior Brother Cai's conjecture is only ranked in the middle or lower difficulty level, she has no confidence or even an idea.

As the Spring Festival approaches, the flavor of the New Year gradually becomes stronger in the city of Jinling.

After spending the new year here and settling the arrangements for Xinghai Research Institute and Chuanhai Research Institute, Xu Chuan drove several students back home.

At this time, he is also preparing to go home for the New Year.

In the villa at the foot of Purple Mountain, Xu Chuan packed his luggage and prepared to take some journal articles home to read during the New Year. At this moment, the phone on the table vibrated.

The prestige video call was from Xu Xiao. After Xu Chuan answered the call with a smile, a little face appeared on the other end of the phone.

"Happy birthday, bro!"

During the video call, Xu Xiao's voice conveyed joy and blessings.

Xu Chuan was stunned for a moment, and then realized that after the New Year, his birthday was also here.

In the past few years, he has been too busy with various scientific research projects and projects, and he doesn't pay much attention to birthdays, so that he almost forgot about it this year.

After smiling and nodding, Xu Chuan glanced at the background behind Xu Xiao and asked with a smile, "Have you gone home yet?"

Xu Xiao nodded and said: "Yes, there is nothing important in the project this year, so we have an early holiday. Brother, when will you come back? Mom misses you. I am here every day thinking about when you will come back. "

"Hey!"

Before the other person finished speaking, a scream came over, and the scene in the video was reversed. It seemed that the girl Xu Xiao was being taught a lesson, and it was accompanied by the voice of a middle-aged woman.

After waiting for a while, the video screen was straightened again, and Xu's mother's face appeared in the video.

"Mom." Xu Chuan shouted with a smile, and in the blink of an eye he saw Xu Xiao lying on his mother's shoulder, sticking his little head out and squeezing into the video screen.

"When will you come back, Chuan'er? It's almost the Chinese New Year." Looking at the familiar face on the phone, Xu's mother couldn't help but put a smile on her face.

Xu Chuan responded with a smile: "The ticket is for tomorrow. I should be able to get home in the afternoon."

"Hmm, okay, be careful on the road and pay attention to safety," Xu's mother muttered and warned. This is probably the unified behavior of parents all over the country. No matter how big their cubs are or where they go, as long as they show up , all kinds of nagging.

"It's my birthday today, can you cook something delicious?" After chattering for a while, Xu's mother suddenly asked.

Before Xu Chuan had time to answer, Xu Xiao on the side said with a smile: "Mom, when I called him just now, he forgot his birthday. There is no good food."

"You kid!" Xu's mother patted Xu Xiao's head with her backhand, looked at Xu Chuan and said, "It's your birthday, no matter what, you have to make something delicious. This year you can only make something delicious yourself. Come back early next year and I will make it for you.”

Xu Chuan smiled, nodded and said, "Okay, I'll go back early next year."

After smiling and chatting with his family for a while, Xu Chuan hung up the phone. After a while, a prestige message came through on his phone.

"Brother, I ordered a surprise for you, prepare to receive it later!"

After looking at the text messages on his phone, Xu Chuan smiled and shook his head. The girl was babbling again.

But based on the way she prepared it, she probably ordered a cake for him remotely or something?