From Almighty Scholar to Chief Scientist

Chapter 116 Reversing the Physical Meaning from Mathematical Formulas
"Hmm...is it gone here?"

Lin Xiao looked and checked, and gradually saw the last page of the draft paper.

The last page of the draft paper was left on a formula, probably because of difficulties and did not continue.

【Existence of weak and strong consistent attractors in C(1H0)(Ω)*C(L)(Ω)...】

"So it is to figure out the existence of a consistent attractor?"

Lin Xiao rubbed his chin and thought about it.

He suddenly discovered that he seemed to be able to find a solution to this formula.

Although it is a physical problem, it has been transformed into a mathematical problem at this time, and it must be solved by mathematical methods.

"A partial differential equation... By the way, the Fedor-Galerkin approximation should work for this."

After a while, Lin Xiao thought of a solution to this problem.

So he took out his pen, tore another piece of draft paper, and started to write according to his own ideas.

[Assume that f satisfies formula 1.2-1.5, and F(Ut) satisfies the assumption...the initial value ξτ=(φ,φ)∈Cε...]

[So the existence of T0 makes the equation exist a Shatah-Struwe solution. 】

"Well...you should be fine here."

Lin Xiao nodded after confirming that there was no problem, but if it was going backwards, he still had some problems.

Such partial differential equations often like to study the existence of solutions. As for general solutions, there is no such thing, and only specific equations can be analyzed in detail.

In physics, there are especially many problems that use partial differential equations. For example, the famous NS equation is a partial differential equation, and the same is true for Maxwell's equations.

And at a deeper level, you need to have a deeper understanding of physics-related expertise, and Lin Xiao doesn't know how to proceed.

Of course, just take a look and write it according to the mathematical formula is still no problem.

So he continued to carry out simple deduction from a mathematical point of view, nothing more than to prove the existence of solutions to partial differential equations.

In this way, he got about eleven o'clock, and at this time, the sound of a key turning the lock came from outside the door.

Wang Wei is back.

Wang Wei came in with a tired face. Obviously, the start of school was very tiring. After all, some students might encounter some problems and ask him as a counselor to help them solve them, or there may be administrative matters in the college.

However, when he came in, he couldn't help being surprised to see that Lin Xiao hadn't slept yet, but was reading a book at his desk.

No wonder people can achieve this level, talent and hard work are indispensable.

"Why haven't you slept yet?"

"Teacher Wong."

Lin Xiao finally raised his head and said hello. Then he looked at the time and was stunned for a moment: "Ah, it's already 11 o'clock?"

Wang Wei: "...you don't even watch the time when you study?"

"Forgot to read..."

As Lin Xiao said, he put down the pen in his hand and got ready to go to bed. After all, we will gather at six o'clock tomorrow morning.

Of course, he didn't forget to say: "Oh, by the way, Mr. Wang, I just took a look at the draft paper you put on the table."

"Ah?" Wang Wei was stunned, walked up and saw the draft paper on the table, then smiled and said: "Oh, this is something I studied before, just look at it, I finally encountered some problems, so I didn't figure it out , and now give up."

"It is to seek the existence of the consistent attractor, right? I looked it up and found that it can be obtained by using an approximation. The obtained result satisfies Lipschitz continuity, and then it can be worked out. The subsequent process should also be possible."

Lin Xiao had already sat on the bed at this time, and said something at the same time.

Hearing his words, Wang Wei was stunned: "What? You mean...you know how to do it? You also study mathematical physics?"

"This... has not been studied."

"Then you understand?"

"I didn't understand it at first, but after reading it, I understood a little bit." Lin Xiao said: "I read the formulas you wrote on it, and there are some text explanations, and then I probably understand what you wrote. What does it mean? It’s almost like inverting its physical meaning from a mathematical formula.”

"...?"

Wang Wei was dumbfounded.

Deduce the physical meaning from the mathematical formula?

Are you cheating on you? !

But can it still be opened like this?

But in the end, thinking about Lin Xiao's deeds, he gave up the idea of ​​reasoning with this kind of person.

However, he was also very curious about how Lin Xiao solved it, so he picked up the draft paper and glanced at the "Basics of Material Science" that Lin Xiao was reading. He couldn't help being surprised, Lin Xiao is still learning this thing?

"Do you still want to study material science?"

"Just understand and understand."

Lin Xiao lay on the bed and laughed.

It can't be explained that he is trying to earn experience.

"Then... well, then you go to sleep, I'll just take a look."

Wang Wei didn't think too much about it anymore. It's probably hard for ordinary people to understand what they want to do with this kind of genius.

Then he returned to his desk, turned off the headlight first, and let Lin Xiao sleep peacefully, but turned on the lamp on his desk.

Although he is a counselor, he has to get up early on the first day of military training tomorrow, but he doesn't need military training, so he still has time to rest.

Soon, he directly turned to the back page of his draft paper, and saw the difficulty he encountered at the beginning.

It was this place that he finally gave up on further research.

In fact, this question was one of the topics left by his supervisor when he was still a PhD student.

His doctoral supervisor is Academician Tang Qing from the School of Mathematical Sciences of Peking University. Academician Tang Qing has attainments in both mathematics and mathematical physics, so Wang Wei followed him into the area of ​​mathematical physics.

However, when he was choosing a topic, Tang Qing told him that the difficulty of this problem was the most difficult one among the topics given to him, and he was allowed to choose by himself. It was because he did what he could do at the beginning, so he gave up this topic and chose other relatively simple ones. subject.

Although he has graduated now, but some time ago he thought of this problem again, so he thought about whether he should try this most difficult subject, but he didn't expect to encounter difficulties before he had done much, and finally had to give up.

However, such a problem that made it impossible to write, now that Lin Xiao told him that he didn't have much research on mathematical physics, how could he write about things that he couldn't handle at the beginning?
He felt a little incomprehensible.

However, when he opened Lin Xiao's draft paper and the next steps, he was stunned.

"Fyodor-Galerkin approach? What kind of method is this?"

He suddenly realized that he didn't know what this method was called.

This is probably in a related paper, right?

In fact, Lin Xiao learned about this method when he was listening to a report at the International Conference of Mathematicians, and then he memorized the general theory. When he saw the problem Wang Wei encountered just now, he thought of this method , so it was deduced based on the previous impression and used in this.

However, Wang Wei naturally doesn't know these things. He can only admire Lin Xiao's knowledge in his heart. At the same time, he also wants to ask Lin Xiao where the original paper was written. Akatsuki seemed to be asleep, so he had no choice but to give up.

Then, he turned his head and looked at Lin Xiao's steps. This Fedor-Galerkin approached, and "approached" this difficulty into an easy-to-understand form, which suddenly made him understand. Afterwards, Lin Xiao Akatsuki used the Lipschitz continuum, and he already knew this. Anyway, PhD students who study partial differential equations should basically know it.

In this way, after watching for 10 minutes, he read all the steps of Lin Xiao, and then put down the draft paper.

At this time, he could only marvel in his heart, because next, as long as he followed the steps of Lin Xiao to get here, he could continue this subject again.

Although there is no guarantee that there will be problems in the future, but for now, Lin Xiao has solved the biggest problem he faced.

With a wry smile, he murmured, "Students in my class have become my corresponding authors?"

The corresponding author is generally the supervisor of the first author of the paper or the person in charge of the project, including the responsibility for the reliability of the article, and of course, he will also be responsible for guiding the research process of the project.

Obviously, Lin Xiao provided Wang Wei with guidance.

Wang Wei was a little dumbfounded for a while.

Could it be that this is Lin Xiao's compensation for living with him?
"If it really comes out in the future, Lin Xiao must be given a second position."

After thinking about it for a while, as for the position of the corresponding author, of course, it is not easy to give it away, but with the help Lin Xiao provided him alone, the second work must be fine.

Wang Wei stopped thinking about it, turned off the desk lamp, and was about to go to bed.

……

The next day, the military training started as usual. Although it was hard work, it was essential for every student.

Lin Xiao felt that it was acceptable. He swallowed a health capsule at the beginning, and since then his body has been in great shape, just like military training, which is just exhausting.

The only thing that made the students feel uncomfortable was the extremely hot weather in Beijing in September.

The autumn tiger came out of the mountain, causing most people to complain.

Of course, there are some interesting activities during the military training, which can be regarded as a time for the students to relax their bodies and minds. One day, I took them to the army training ground to try shooting at a target. This is also a part of the military training at Beijing University. kind of welfare.

However, time passed quickly like this, and after fifteen days, the military training ended.

Amidst the cheers of the students, the tormented life was finally over, and it was time for Lin Xiao to leave Wang Wei's dormitory.

"Are you going?"

"Ah."

Lin Xiao nodded, and at the same time put his toothbrush and cups into his schoolbag, ready to carry it back to Yanbei Garden.

Although living here for half a month, I have gotten used to it, but it is Wang Wei's dormitory after all. If I really live here, even if Wang Wei doesn't say anything on the surface, he will definitely complain in his heart.

What's more, Lin Xiao felt that it was a pity that he couldn't live in the house of more than 500 million yuan.

Wang Wei stepped forward, helped Lin Xiao tidy up, and said, "By the way, I'm going to write that question into a paper."

"what is the problem?"

Lin Xiao was taken aback.

"It was the night before the military training, the problem I encountered in mathematics and physics, the weakly damped wave equation."

Lin Xiao finally remembered at this moment, and then said with a smile: "That's not bad, has it been resolved?"

"That's not it."

Wang Wei shook his head: "I just have this plan for the time being, and I'm still researching it recently, but it can be done in about half a month."

"Which one do you plan to post by then?"

""MATHEMATICAL-METHODS-IN-THE-APPLIED-SCIENCES", from the second district."

"sure."

Lin Xiao nodded, and being able to post it to the second district shows that the value of the paper is still great.

"At that time, I will put your name on the second work, I hope you don't mind."

At this time, Wang Wei said with a smile again.

　Ask for a monthly pass! !

　　
　
(End of this chapter)