Chapter 313

Monotonicity Method for Hyperbolic Nonlinear Differential Equations Containing Generalized P-Laplacion Operators

Group Leader: Fang Ruoyu

Deputy leader of the research group: Cheng Nuo

Members: Su Xuanqi, Gu Shi, Zhang Chumen

The list was thus submitted. All positions have also been finalized.

Cheng Nuo is very honored to serve as the deputy leader of the research group for the first time.

Due to the unanimous implementation of the stocking policy by the project instructors of Tsinghua University, in the next six months, Cheng Nuo, the deputy team leader, was responsible for the follow-up of the progress of the entire project.

Not only in the general direction, Cheng Nuo needs to be controlled. As a member of the research group, he also needs to devote himself to the research of specific parts of the project like the three seniors in the second year of research.

For Cheng Nuo, this is a new attempt.

............

In a small classroom in the teaching building, Cheng Nuo and the four of them held a brief meeting on the topic report.

The main content of the meeting includes the planning of research topics and the allocation of specific tasks.

The research direction of this topic has been decided by Professor Fang, and it has been implemented in accordance with the plan proposed by Cheng Nuo to take Banach space as the starting point.

In the previous project report, Cheng Nuo has written in detail about the research process at each stage.

"Ahem. ”

Cheng Nuo coughed lightly.

Sitting in the main seat, he was stared at by three seniors who were five years older than him, and he was a little panicked.

"If you don't have an opinion, I'll assign each person specific tasks?" Cheng Nuo said in a deliberative tone.

Su Xuanqi smiled, "Senior Brother Cheng Nuo, now you have the final say." We will do whatever you tell us to do. ”

"That's good. Cheng Nuo restrained his mood, went through the content of his research report in his mind, sat up straight, and spoke unhurriedly, "I simply divided the research into four parts, each of the four of us is responsible for one place, and I am responsible for summarizing it in the end." First, in the first part, the Banach space subset G strong closure ......"

............

Half an hour later, the meeting ended.

Cheng Nuo rubbed his eyebrows, walked out of the conference classroom, looked at the starry sky, and smiled bitterly, "Alas, it's not easy to be a top student!"

............

In the blink of an eye, the time is in mid-April.

The research projects of electron cyclotron wave and p-Laplacian operator are also gradually on the right track.

"Cheng Nuo, will you participate in next month's school sports meeting?" In the dormitory, Maddie saw Cheng Nuo, who was tired, pushing the door in, and immediately rushed up and asked with anticipation.

"Don't go. Cheng Nuo refused very simply, and after speaking, he sat down on the stool, opened a bottle of kidney treasure and drank it.

"Cheng Nuo, this time our school's school sports meeting, there will also be a TV station to broadcast it live. Maddie repeated his old tricks and wanted Cheng Nuo to agree again.

The Tsinghua University Sports Meeting, which is held around May Day every year, has more than 40 track and field events, which is a large-scale school collective activity.

And the work of recruiting athletes once again fell on the cultural and sports committees of each class.

So, once again, Maddie set her sights on Cheng Nuo and tempted her with the same conditions.

But this time, Cheng Nuo's attitude has not changed, "Even if there is a TV station live broadcast this time, I won't go." ”

He already disdains to do low-level fun pretending.

The high-end and high-grade thing of studying the subject is the stage for Cheng Nuo to play.

Of course, it would be perfect if I could not put two topics on him at once.

Fortunately, after half a month of hard research, both topics have passed the most difficult early stage.

For the rest, you need to take your time. The burden on Cheng Nuo's shoulders can also be relaxed a lot.

Cheng Nuo has already fantasized that he can sleep once and wake up naturally today, which is beautiful.

But, in the next second, this illusion was shattered.

Just a few minutes after Cheng Nuo returned to the dormitory, before the stool was hot, he received a call from Su Xuanqi.

"Cheng Nuo, something is wrong. Su Xuanqi's anxious voice came from the other side of the phone.

Cheng Nuo comforted him and asked, "Senior sister, don't worry, and slowly talk about what happened." ”

Su Xuanqi calmed down for a moment, and said in a heavy tone, "Cheng Nuo, I just got a message from Professor Fang, just yesterday, the University of California, Berkeley, started a research on the topic of p-Laplacian operators. ”

The title of the project is "A Study on the Monotonicity of a Class of Nonlinear Fractional Differential Equations with P-Laplacian Operators". ”

A class of nonlinear fractional-order differential equations with p-Laplacian operators to study the monotonicity?

Cheng Nuo's research topic is the monotonicity method of hyperbolic nonlinear differential equations containing generalized p-Laplacion operators.

Judging from the title of the project alone, there is almost no difference between the two topics in terms of research content.

If the research project was an ordinary university abroad, Su Xuanqi might not be so nervous.

But that school is the University of California, Berkeley. There are 94 Nobel laureates (fourth in the world), 13 Fields Medalists (fifth in the world) and 23 Turing Award winners (first in the world).

On the list of mathematics departments of the world universities, it is ranked in the top five all year round.

Whether it is in terms of faculty or student level, Tsinghua University is a level behind.

Even though they studied this topic half a month earlier than the University of California, Berkeley, to be honest, Su Xuanqi has no confidence at all now.

Therefore, after she got the news, she hurriedly called Cheng Nuo's phone to ask for advice.

On Cheng Nuo's side, after listening to Su Xuanqi finish saying that paragraph at a very fast speed, his expression was unusually calm.

Top Universities Abroad?

The horrors of the University of California, Berkeley, Cheng Nuo naturally knows. There are 13 Fields Medal winners, and none of them are in their school.

But so what? Give up on the research they have been working on for half a month?

Don't say that Cheng Nuo is unwilling, even the school will not agree.

In academic circles, it is not said that whoever studies a topic first cannot allow others to study the field and publish their results.

Since ancient times, it has been the winner who publishes the results of research first.

In terms of research progress, they are half a month ahead of Berkeley, and they are definitely ahead of them.

In terms of soft power, it is inferior to others, which has to be admitted.

But hard power, Cheng Nuo doesn't think his side will definitely lose.

In that case, then ...... Let's do it!

Cheng Nuo clutched his mobile phone tightly, and his eyes gradually became sharp.

He said in a deep voice, "Senior Sister Su, call Gu Shi and Zhang Chumen, and we will have an impromptu meeting." Immediately!"