Although he was fooled, Tillman did not complain much.

Especially after personally presiding over (with the assistance of Liang Qu) an experiment on the operation of the Huaxing fusion device, the obsession and dark clouds in my heart dissipated completely.

Stellarators can also achieve controlled nuclear fusion technology!

There is nothing wrong with his train of thought!

The only regret is that the path was not done by him himself.

However, Tillman does not have too 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 to go on the stellarumer, it will be difficult for him to lead the team to complete the controlled nuclear fusion technology.

Before the advent of that demonic young scholar, controlled nuclear fusion technology was recognized worldwide as an eternal fifty years, with little hope of a breakthrough at least at the beginning of this century.

Whether it is a numerical control model of high-temperature plasma turbulence, a first-wall material, or a tritium self-sustaining recirculating system, they are all mountains across the field of controlled nuclear fusion.

For him, it would take a lifetime to climb over one of them.

It is hard to imagine the wisdom of that young genius scholar to solve all these problems.

Perhaps this is not his own work, but Tillman believes that his contribution to solving the project of the century is absolutely the most important.

For Xu Chuan, Professor Tillman Lundt's role is not only in the construction of the ring super-strong particle collider CRPHC, but also in the field of his application and insights on superconducting materials and superconducting magnets.

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

Such a top three bull in the world, even if you stuff a few people to him, you can learn a lot of things from it.

After the launch of the Annular Super Particle Collider (CRPHC) and the conclusion of the workshop, Professor Tillman was arranged, and Xu Chuan returned to his normal work.

Life is quite regular, basically three points and one line between the villa at the foot of the Purple Mountain, the Xinghai Research Institute, and the teaching building of Nanda University.

As for the construction of the collider, he didn't need to worry too much about it.

With the support of Tai Xuewen and the Huaguo Physical Society, and the help of Professor Tillman, at least he was not needed to intervene until the probe was deployed.

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

According to the calculation of the days of the lunar calendar, there are more than ten days to be a festive New Year.

In the office on the campus of NTU, Xu Chuan picked up and put down the journals and papers that he had been reading for a while.

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 for you."

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

This period of leisure allowed him enough time to give lessons to NTU students and mentor several of his own students.

For this rare 'drop' tutor, several students who were new to the school last year also seized the time to ask for advice and learn.

So much so that the other students basically went home during the winter vacation to prepare for the New Year, and Yin Shi and others were still studying on the campus of NTU.

Taking the notebook from Yin Shi's hand, Xu Chuan's gaze fell on the mathematical formula on the page.

"A class of second-order completely nonlinear partial differential equation problems, kind of interesting."

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

Since completing the proof of the Millennial Problem of Existence and Mass Gap by Young-Mills, he has not devoted his energies to the field of pure mathematics for a long time.

Seeing the questions of the elementary school students he brought, the interest in his heart immediately came up.

Staring at the equations in his notebook, the math in his mind spun as fast as usual, and after thinking for a while, he stood up and walked to the corner of the office, dragging a moving blackboard out of it.

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

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

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

Let Ω be an open region of Cn, u is a smooth function defined on the Ω, the Hessian matrix of u is (u/zjzk), and its eigenvalues are λ1, λ2, ···, λn. For 1 6 m 6 n, the complex Hessian operator is defined 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 > 0,4:u|Ω=]

【. 】

In the office, Xu Chuan explained seriously, and the people standing on the side listened carefully, and the expression on his face also had some thought.

Obviously, these technical things are something he can't learn no matter how many books and papers he reads.

The equation on the blackboard was soon spread all over the surface, Xu Chuan picked up the blackboard eraser, and was just about to erase the equation on it and continue to write, Yin Shi, who was thinking about it, suddenly shook his spirit, and quickly stretched out his hand and shouted to stop him:

"Wait a minute, Professor!"

Startled by Yin Shi's sudden fierce 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 picture first!" ”

The corners of Xu Chuan's mouth twitched, he also brought several students, so he took out his mobile phone from his pocket to take pictures and keep these things when he explained the problem.

"Shoot, shoot, shoot."

With a wave of his hand, Xu Chuan slightly moved out of the way and let the elementary school student record the information on the blackboard.

Compared to the other three students recruited at the same time, Yin Shi's memory and quick comprehension skills were slightly inferior, but she could always find some clever ways to supplement them in other areas.

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

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

"Solving a degenerate complex modified equation with a concentration of singularities is a complete geometric proof on the traditional basis, with the pure transformation as the basic tool, and the control of the singularity order is also a necessary condition, otherwise there are many strange solutions."

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

"If I'm not mistaken, there are quite a few conjectures and puzzles on this kind of issue."

"For example, give an analytical proof of the theorem I just talked about, and weaken its conditions. It is also a very interesting problem for PDE analysis to study the existence and uniqueness of the solution of the Dirichlet problem with controllable singularity at a specified point about nonlinear operators. ”

"If you're interested, you can work towards this in your future PhD and mathematics careers."

On the side, Yin Shi, who had a thoughtful look, was obviously still immersed, nodded blankly at Xu Chuan's words, and said, "I will work hard."

Before she finished speaking, she suddenly came back to her senses, and suddenly felt a little nervous in her heart.

After swallowing a mouthful of air, Yin Shi cautiously asked, "Professor Professor, can I ask, are the two questions you said difficult?" ”

Xu Chuan thought for a while and said with a smile: "It's not difficult, the difficulty of these two problems should be similar to that of your senior brother Cai Peng." ”

"Oh, that's good."

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

If she's not mistaken

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

With a sad face, Yin Shi asked in a loud voice: "Professor, the two questions you are talking about will not be my graduation thesis, right?" ”

Xu Chuan glanced at her in surprise and said, "No." That's just a little bit of the research direction I'm going to give you. ”

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

Before he finished speaking, Yin Shi quickly shook his head and replied: "No, no, no, professor, using a world-class problem as a graduation thesis, it will kill people, it will really kill people!" ”

If she really wanted to do this, she would have serious doubts about whether she would be able to 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 of the difficulty, she is not sure, and she doesn't even have an idea.

With the approach of the Spring Festival, the flavor of the New Year has gradually become stronger in the city of Jinling.

After spending the elementary school here, after dealing with the affairs of the Xinghai Research Institute and the Chuanhai Research Institute, Xu Chuan drove several students home.

At this point, he is also going to go home for the New Year.

In the villa at the foot of the Purple Mountain, Xu Chuan packed his luggage and was about to take some journal papers home to read for the New Year, when the mobile phone on the table vibrate.

The prestige video call was made by Xu Xiao, and after Xu Chuan answered it with a smile, a small face appeared on the other end of the phone.

"Happy birthday, brother!"

During the video call, Xu Xiao's voice was transmitted with joy and blessings.

Xu Chuan was stunned for a moment, and then reacted that his birthday had also arrived after the New Year.

In the past few years, the busy days of various scientific research projects and projects have been too long, and he himself does not attach much importance to such things as birthdays, so that he almost forgot about it himself this year.

Nodding with a smile and saying thank you, Xu Chuan glanced at the background behind Xu Xiao and asked with a smile, "Are you already home?" ”

Xu Xiao nodded and said, "Yes, there is nothing important on the project side this year, so we will have a holiday in advance." When will you come back, brother, my mother misses you, and I talk to me here every day about when you will come back."

"Eh!"

Before the words on the other side were finished, a scream came, and the picture in the video was also reversed, it seemed that Xu Xiao's girl had been taught a lesson, 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, poking out a small head and squeezing into the video screen.

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

Xu Chuan responded with a smile: "The ticket is tomorrow, and you should be able to get home in the afternoon." ”

"Well, okay, you must be careful on the road, pay attention to safety" Mother Xu muttered, admonishing, this is probably the uniform behavior that parents across the country will have, no matter how big their cubs are, no matter where they go, as long as they appear, they will nag all kinds of things.

"It's your birthday today, do you want to cook something delicious?" After nagging for a while, Xu Mu suddenly asked.

Before Xu Chuan could answer, Xu Xiao on the side said with a smile: "Mom, when I called him just now, he forgot his birthday, how can there be anything delicious." ”

"You kid!" Mother Xu patted Xu Xiao's head with her backhand, looked at Xu Chuan and said, "If you have a birthday, you have to get something delicious, this year you can only make something delicious by yourself, come back early next year, and I'll make it for you." ”

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

After chatting with his family for a while, Xu Chuan hung up the phone, and after a while, a prestige message was delivered on his mobile phone.

"Brother, I ordered a surprise for you, let's get ready to receive it later!"

Glancing at the text message on his phone, Xu Chuan shook his head with a smile, that girl was chattering again.

But in terms of the style she prepared, she probably ordered a cake for him remotely, right?