Research starts with PhD students

Chapter 131: Second Hospital Lecture, Huge Crowd! The Genius Among Geniuses Can Give Lectures?
After completing the research on numerical simulation of the NS equation, Zhang Shuo felt that he had a deeper understanding of the NS equation.

This includes numerical solutions, understanding of special exact solutions and weak solutions, and the problem of proving smoothness in stages, all of which are already clear in my mind.

On this basis, he also hopes to go a step further, that is, to prove the smoothness of the solution of the NS equation in a purely mathematical way.

Before that, it is about proving the singularity problem.

The singularity problem of the NS equation accounts for more than 80% of the proof of the smoothness of the solution. In other words, completing the proof of the singularity problem is close to completing the proof of the smoothness of the solution.

The singularity argument is the core of the NS equation argument.

“Let’s do the singularity argument first.

Zhang Shuo simply established the task——

【Task 3】

[Research project name: Research on singularity problems of NS equations (difficulty assessment: A). ]

【Progress: 4.391%.】

(The task can be canceled. Currently, the number of scientific research coins required to cancel the task is 0.)
(The remaining progress requires 6720 scientific research coins.)
The initial progress of the mission is nearly '4.4%'. There is a certain relationship between singularity research and NS equation numerical simulation, and the latter can promote the progress of the singularity research mission.

After completing the task, Zhang Shuo did not rush to spend coins to find directions, but went to the hotel to eat and rest peacefully.

He is about to give a lecture at the Second Academy of Aerospace Science and Technology.

This time point is not suitable for thinking about difficult research problems.

After a night's rest, Zhang Shuo took the car sent by the Second Academy of Aerospace and quickly arrived at the headquarters building of the Second Academy.

First floor entrance.

Zhou Yongchang, Du Bin and others were already waiting there. When they saw Zhang Shuo get out of the car, they surrounded him enthusiastically.

Zhang Shuo shook hands with Zhou Yongchang and Du Bin, and was then introduced to two important figures - Academician Xue Yuan and Academician Shen Chunxu.

Xue Yuan is an engineering academician of the Institute of Computing Technology of the China National Space Administration; Shen Chunxu is an academician of the School of Mathematics of Capital University.

Xue Yuan didn't feel anything special about coming to listen to the lecture. He worked in the Space Administration, so it was normal for him to listen to a lecture from the Second Academy of Aerospace.

Shen Chunxu felt a little embarrassed.

He shook hands with Zhang Shuo and said with a smile, "Computational mathematics is also my professional field. Your research on the NS equation is excellent. I heard that you were coming here, so I came to attend your lecture."

"It's okay, it's my pleasure!"

Zhang Shuo responded with a smile, "It doesn't matter if a few more people come to the lecture. The fact that academicians in the field of computational mathematics are attending your lecture also means that your research is recognized."

Zhou Yongchang, Du Bin and others welcomed Zhang Shuo into the headquarters building, and talked about things related to the lecture during the conversation.

Du Bin came closer and whispered, "There are quite a few people coming to the lecture, you have to be mentally prepared."

"How many people are there?" Zhang Shuo was a little curious.

"At least a hundred people."

Du Bin grinned as he spoke, and then explained, "The news that we invited you to give a lecture has spread, and many professors and researchers from universities have come to listen, such as Academician Shen Chunxu. We can't refuse. We can't say that you were invited by our Second Hospital and not allow others to listen, right?"

"Professor Zhang Shuo, your research is too important and you haven't made any public reports. Many people read your paper and don't understand the parts they don't understand, and they all want to understand them."

Du Bin said with emotion.

"It doesn't matter." Zhang Shuo shook his head nonchalantly, "One person will listen anyway, and a hundred people will listen too."

In fact, the main reason is that the application of the NS equation is too wide. When a study involves a wide range of applications, scholars in related fields will definitely want to understand the content.

The research is important, but that’s secondary.

For example, Andrew Wiles' proof of Fermat's conjecture was more significant in terms of its mathematical impact, but apparently not many people wanted to understand the proof.

Some people are interested in this, perhaps just want to see if there are any mistakes.

They first went to the lounge.

Du Bin and Zhang Shuo were quite familiar with each other, so they started talking about things related to the lecture. The lecture was a suggestion put forward by Zhou Yongchang, and many people from other departments also came after hearing about it.

For example, Academician Xue Yuan brought a team of seven people here.

The Aerodynamics Research Institute of the Space Administration sent a team of 19 people, ranging from second-level researchers to post-doctoral fellows. When they arrived, they were ridiculed as participating in a "sports meeting."

"This is just within the space agency. There are many more people who have applied to attend the lectures."

Du Bin whispered, "I said a hundred people is just an estimate, it's probably more than a hundred and fifty."

Academician Xue Yuan and Professor Guo Dewang walked in together.

Guo Dewang is the chief researcher at the Aerodynamics Research Institute of the Space Administration. He was holding a document in his hand. After shaking hands with Zhang Shuo, he started talking about the lecture.

"Professor Zhang Shuo, you don't need to explain everything. Just focus on the difficult points."

Guo Dewang said, "The three papers together have more than 100 pages, which is not something that can be finished in a short time. Those who came to the lecture have already read the papers, and we sorted out the difficult points."

"This is the sorted content, take a look."

Zhang Shuo took the document and read it from beginning to end. It listed several difficult-to-understand contents in the paper. Since they were all his own research, he remembered them after reading it once.

He laughed and said, "I was worried that it would take too long to explain everything. Now it's good."

Xue Yuan asked, "How long will it take to explain these difficult and important points?"

"That should be enough for the morning."

Zhang Shuo said, "How about this, I will give the explanation in the morning and answer questions in the afternoon. During the explanation, you can write down any questions and I will answer them in the afternoon." "That's great!"

Xue Yuan and Guo Dewang nodded with satisfaction.

After they had agreed, they checked the time and went to the conference hall together. When they arrived at the door of the conference hall, Xue Yuan, Guo Dewang and even Zhou Yongchang subconsciously walked a step slower.

Du Bin gritted his teeth and walked in with Zhang Shuo.

"Hulala~~~"

Zhang Shuo was prepared for a lot of people, but he didn't expect it to be this many. He stopped at the door and looked inside. He felt like he was giving a lecture to college students in his previous life.

There are so many people!
The lecture was held in a place similar to an auditorium. Every seat was occupied, with at least two hundred seats.

Zhou Yongchang, Xue Yuan and Guo Dewang all took several steps back. They indeed felt quite embarrassed. When experts were invited to talk about research issues, generally speaking, the target number was only a few dozen people.

There won’t be too many people attending professional lectures.

Now it's like giving a large-scale lecture, and it's a bit embarrassing to be the 'organizer'.

Zhang Shuo took a deep breath and smiled at Du Bin, "I'll just treat it as giving a presentation at a large conference."

He stepped inside.

There are indeed a lot of people coming this time.

Many of them are university professors in the capital and surrounding areas, and some are researchers from scientific research institutions.

After the news spread that the Second Academy of Aerospace invited Zhang Shuo to give a lecture, many people in the surrounding area contacted him and wanted to come and listen.

And then it became like this.

After entering the auditorium, the noise quieted down and people in the front row came over to shake hands.

Zhang Shuo felt that he couldn't shake hands, so he walked from left to right, then went up to the podium and let out a sigh of relief.

He tried the microphone and joked, "I really didn't expect there would be so many people. I feel nervous all over."

“Here, thank you all for coming!”

People in the front and back rows applauded.

Zhang Shuo pressed his hands down and then said, "Today's lecture will focus on the difficulties in numerical simulation research of the NS equation."

"I talked to Academician Xue Yuan and Professor Guo Dewang and decided to explain the difficult points in the morning and answer questions in the afternoon. If you have any questions, you can write them down first and we will explain the key points in the afternoon."

"Let's get to the point!"

……

Everyone in the auditorium was looking at Zhang Shuo on the stage, and many people were sighing with two words in their hearts -

young!

There were also doctoral students present with their supervisors, but even they were not as young as Zhang Shuo, let alone others.

It is amazing to think that such a young scholar is giving lectures to so many professors, researchers and academicians. At the same time, some people are worried that they may not understand the content.

It’s not because the difficulty is so hard to understand, but because the person explaining it is a young man with no teaching experience and he is a genius.

It can be said that the more talented a person is, the worse he or she is at giving lectures when he or she is young.

Many problems that are difficult for ordinary people to understand are very simple to geniuses, and when they explain them, they will just gloss over the difficult points.

Geniuses feel that there is no need to discuss the problem at all.

Everyone present could be said to be a genius in school, but Zhang Shuo was the genius among geniuses.

When the actual explanation began, the people in the audience found that the explanation process was different from what they had imagined, and there was no "genius problem".

Zhang Shuo used screen projection to put the difficult parts of the paper on the screen, found the corresponding manuscript materials, and began to explain step by step.

"Among the discrete methods, some use the Fourier discrete transform method, and the others are targeted methods studied based on the parameter characteristics of the NS equation."

"We can make the following analysis based on the characteristics of the parameters..."

"First, there is the transformation of complexity. In my paper "PDE Transformation Method and Parameter Analysis to Prove Asymptotic Solutions" published in New Advances in Mathematics, there is a transformation method..."

"according to……"

Everyone in the audience listened attentively.

They found that Zhang Shuo did not speak very fast, but every sentence he said would get to the key point, and he would explain the difficult steps in great detail.

Professors who have done more research on papers will be able to understand everything by following the explanation.

Many professors couldn't help but admire in their hearts, "Zhang Shuo is very capable in research and his level of explanation is also very high."

"He doesn't look like a young man, but rather an experienced professor..."

“He probably has no teaching experience, right?”

Some people couldn't help but chat in a low voice for a few words, but when they came back to listen, they found that they couldn't understand it.

Mathematics, that's it.

Zhang Shuo only talked about the key points, which were also the difficult parts to understand. The logical system for each difficult point was complete. If you didn't hear the previous step, it would be difficult to catch up later.

Because there was a lot to explain, and he wouldn't repeat himself, you could only fall behind if you couldn't.

(End of this chapter)