229: On the Large Initial Value Global Solutions of Several Types of Compressible Navier-Stokes Equations

"No choice, among my students, you're the only big star! An academic big star at that."

Professor Zhou said, teasing Student Guo Hao.

As a Professor in Yan Aviation's Materials Science department, Professor Zhou was naturally also a senior Professor, with considerable influence in the field of Materials Science, although he hadn't reached the level of an Academician yet.

But he was still one of the top-tier Professors.

After all, Yan Aviation's Materials Science department was already considered one of the top three majors in the entire Dragon Country; there wasn't a single simple person among the Professors in such a major.

Student Guo Hao looked at Professor Zhou with a wry smile.

"Professor... please stop teasing me. If you keep teasing me like this, I won't dare to come to your class anymore!"

"Hahahahaha!"

Hearing Student Guo Hao's words, Professor Zhou laughed heartily.

"Has everyone finished getting Student Guo Hao's autograph?"

Professor Zhou didn't continue the topic but asked the other students around.

"Finished!"

The surrounding students shouted loudly.

"Alright, then return to your seats, let's start class!"

Professor Zhou said with a smile to the surrounding students.

His expression gradually became serious.

"Today, our course is on the status, practice, and application of ceramic materials in the field of modern Materials Science."

Professor Zhou's expression was slightly solemn.

"At the same time, today we will also learn about the smelting process of high-strength ceramic materials; we will also be studying this."

At this point, Professor Zhou started writing a line on the blackboard.

The surrounding students also gradually quieted down.

After all, they were all high-achieving students from Yan Aviation. While they were very surprised and excited by Student Guo Hao's sudden arrival, which was very normal.

But as the class began, everyone gradually started to quiet down and study.

After all, they had all been studying for a year and a half.

Student Guo Hao also calmed down and listened to Professor Zhou lecture.

Student Guo Hao also gained quite a bit.

The professional course was two hours long, and the entire afternoon was Professor Zhou's professional class.

Towards the end, Professor Zhou started talking about First Principles.

"Speaking of First Principles."

At this point, Professor Zhou paused, a smile on his face, and said to the students around him.

"Our Student Guo Hao is an expert in this! I've read several of his papers, and Student Guo Hao writes quite well on First Principles! Come, come, Student Guo Hao, why don't you come up and explain to everyone?"

Professor Zhou said with a smile on his face, looking at Student Guo Hao beside him.

I knew it...

A hint of helplessness appeared in Student Guo Hao's eyes. He had already guessed that Professor Zhou wouldn't miss this opportunity to have him come up and give a lecture!

But he also didn't know how to refuse.

"Then I'll share some of my understanding of First Principles with everyone!"

Student Guo Hao stood up and walked to the front of the podium.

Professor Zhou's face was full of smiles, making space for Student Guo Hao, who stood on the podium.

"Before talking about First Principles, I must first talk about the content related to Computational Materials Science."

Student Guo Hao stood at the front of the podium, calmly speaking to the students around him.

"First Principles calculations are based on the principles of quantum mechanics, starting from the fundamental interactions of electrons and atomic nuclei, without relying on any empirical parameters, and directly calculating the electronic structure, crystal structure, and physical properties of materials..."

The surrounding students were all very serious.

Student Guo Hao briefly talked about the content and future of Computational Materials Science, and then talked about the content, application methods, and scenarios of First Principles.

"That's pretty much it."

As Student Guo Hao's words fell.

"Clap clap clap!"

Professor Zhou was the first to applaud, and then the entire classroom was filled with the students' applause.

"Then Professor, I'll go down first."

Student Guo Hao said to Professor Zhou.

"Go ahead!"

Professor Zhou smiled slightly.

Student Guo Hao walked down from the podium.

Professor Zhou stood on the podium.

"Just now, Student Guo Hao explained very well, but it's not comprehensive enough. I'll add some more..."

Professor Zhou said with a smile on his face, adding some things to what Student Guo Hao had explained.

After class.

Student Guo Hao and Professor Zhou walked side by side for a while.

The two chatted briefly, and Student Guo Hao asked Professor Zhou some questions.

"I thought you were preparing to give up Materials Science."

Professor Zhou smiled and said to Student Guo Hao.

"Recently, after solving the Warings Problem, you've been very much in the spotlight!"

"Don't mention it, Professor, I'm numb. Who knew it would generate such huge attention!"

Student Guo Hao looked at Professor Zhou, his eyes full of wry smiles.

"It's very normal."

Professor Zhou looked at Student Guo Hao in front of him with a smile.

He could completely understand.

"If you had chosen other conjectures, perhaps the impact wouldn't have been so great, but you chose the Warings Problem. Back then, Professor Hua Luogeng also researched the Warings Problem.

In the country, it already has a certain level of recognition, so it's normal for it to cause such a stir."

Student Guo Hao was very helpless.

"Alright, if you're afraid of the attention, just stay in school during this time and read and study diligently. You also have good talent in the field of Materials Science. Perhaps, you might really be able to completely integrate the two disciplines of Materials Science and Mathematics in the future!"

Professor Zhou looked at Student Guo Hao with a smile in his eyes.

Student Guo Hao shrugged.

After chatting with Professor Zhou.

Student Guo Hao didn't dare to go to the Library but returned to his apartment.

Perfect, during this time, he could focus on the global existence of large solutions for several types of compressible Navier-Stokes equations.

This was the title of his paper.

This paper wasn't too difficult; in just a few days, Student Guo Hao had already completed almost half of it.

His paper mainly included the following two aspects: Firstly, for the Cauchy problem of one-dimensional and two-dimensional compressible Navier-Stokes-Cucker-Smale-Fokker-Planck equations, the existence of global classical solutions for large initial data possibly containing vacuum was obtained;

Secondly, for the one-dimensional compressible Navier-Stokes equations where the viscosity coefficient depends on temperature, the nonlinear stability of composite waves formed by rarefaction waves and contact discontinuities under large initial perturbations was obtained.

Student Guo Hao planned to finish this paper while the attention was high.

Just as Student Guo Hao was writing his paper.

The phone rang.

"President Huai? What is it?"

Student Guo Hao answered the phone and asked somewhat puzzled.

Generally speaking, if President Huai had nothing urgent, he wouldn't usually call him. With his current high level of attention, President Huai calling him, could it be...?

"Student Guo Hao, are you free now?"

President Huai asked Student Guo Hao with a smile.

"Yes, are you busy?"

Student Guo Hao asked.