Research starts with PhD students

Chapter 193 The only thing is that it’s too fast!
After hearing Luo Yongjun's words, Tan Youming remained silent for a long time. He was really surprised.

How to prove the coverage of solution set of NS equation?
finished?
real or fake?

The results published by Zhang Shuo at the International Congress of Mathematicians were an argument for the solution set of the transition point from laminar flow to turbulent flow, that is, to prove that there is no singularity near that position.

Later he proved that there are no singularities in the square channel in the Cartesian coordinate system.

There are also many scholars in the world who refer to Zhang Shuo's argumentation method to argue for other special points and prove that there are no singularities at some special points, that is, the solution set of the NS equation is smooth.

Special points, that is, the parameters will be limited within a certain range, which can be understood as simplifying the NS equation and naturally reducing the difficulty a lot.

The coverage argument of the NS equation, or more precisely, the conventional tortuous argument under natural boundary conditions, has a large range of fluctuations in various parameters, and the difficulty of coverage increases sharply.

The completion of this research is, to a certain extent, equivalent to solving the NS equation problem, one of the seven millennium mathematical conjectures.

Although there are still infinite values ​​that have not been demonstrated, finite values ​​can solve all applied engineering problems, which means that the NS equations are credible in the scope of application.

The purpose of the NS problem is to prove that within the scope of application, the solution of the NS equation has existence, uniqueness and smoothness.

Infinite values, that is, the infinite expansion of the parameter range, is not used in conventional fields and is only a mathematical theory problem.

Of course, mathematical theory issues are also important, but it can still be said that they have solved the NS equation problem.

If the research is officially published, the Clay Institute will most likely consider awarding them the Millennium Mathematical Conjecture Prize - $100 million.

Money is not the most important thing, the most important thing is honor.

The seven millennium conjectures are the most important and difficult mathematical problems known to the world.

This is definitely an honor that will go down in history!

Tan Youming thought about it seriously, and then he saw Luo Yongjun with a smug look on his face, and subconsciously shook his head vigorously.

Then he looked at Li Weihua again and shook his head slightly.

Finally, he looked at Zhang Shuo and nodded with a smile.

Tan Youming's subconscious action made Luo Yongjun and Li Weihua feel offended.

They were very dissatisfied and were about to say something when they heard Tan Youming ask Zhang Shuo, "Are you sure it's done?"

Zhang Shuo nodded, "It's done."

"congratulations--"

Tan Youming stretched out the last word, glanced at Luo Yongjun and Li Weihua, and quickly added another word, "We!"

Luo Yongjun and Li Weihua felt offended again.

Before they could say anything, they heard Tan Youming say, "Professor Luo, Professor Li, this office will be for you to use from now on. The research school and the high court will also pay enough attention to this!"

His voice was powerful.

Luo Yongjun and Li Weihua immediately forgot about the unpleasantness just now. They knew very well what Tan Youming meant.

Pay attention to!

How to attach importance to it? Of course, bonus is indispensable.

Giving the office to the two of them means that the High Court will sign a researcher employment agreement with Li Weihua, and Li Weihua will become a "double-appointed" professor in the future. A double-appointed professor can also have an office in the High Court, and his rank will definitely be promoted.

These are all real benefits.

After Tan Youming finished speaking, he brought up the previous topic again, "Will you attend the seminar at the Donggang Mathematics Center?"

He added, “The NS equation is just one of the important topics. We will also discuss several other important equations and theoretical problems of partial differential equations.”

Tan Youming deliberately "sent away" a few people because their work in the High Court made people feel anxious.

But on second thought, there seems to be nothing to worry about.

Now that such important research has been completed, there may be no more involutionary work to continue.

Can you relax now?

Luo Yongjun and Li Weihua looked at Zhang Shuo together. It was obvious that whether to attend the meeting was still up to Zhang Shuo to decide.

"let me consider it."

Zhang Shuo did not answer directly, and continued to organize the information with Luo Yongjun and Li Weihua.

After finishing work, he planned to reply to Li Jianfeng's email, but after thinking about it, he simply sent a message to Li Jianfeng on his mobile phone, and talked about the issues concerning the seminar.

Li Jianfeng replied quickly.

The two chatted for a while.

Zhang Shuo only then learned that a big event had occurred at the Donggang Mathematics Center - Zhou Kaijun had resigned.

From Li Jianfeng's few words, we can know that Zhou Kaijun did not resign voluntarily, but seemed to have been "persuaded to leave" by Jiang Weizheng.

Li Jianfeng replied, "I feel like he can't stay here any longer. Many people in the institute are dissatisfied with him."

"I guess he knows that Academician Jiang doesn't want to keep him anymore."

"The Young Elite Scientists Project he was working on was also suspended."

This is the situation Zhou Kaijun encountered.

As Zhang Shuo became more and more famous and won the first Fields Medal in China, many people looked at Zhou Kaijun strangely.

There are many professors at the Donggang Mathematics Center who are also very dissatisfied with Zhou Kaijun. They all have connections with Donggang University, and some are even professors at Donggang University.

Donggang University is now greatly affected. Many people think of Zhang Shuo and the master's thesis plagiarism incident when they mention Donggang University. However, the protagonist of the incident won Fields in just two years.

This matter became very ridiculous.

Many people privately said, "Zhou Kaijun had a student who took Fields, but he accused the student of plagiarizing the paper."

"Who would have thought that a math genius who received a Fields degree would plagiarize a Sci Zone 4 paper two years ago!"

"This may be the most exaggerated news in the 21st century!"

“It happened at Eastport University!”

“Maybe 50 years later, many people will still mention this incident, and it will become a stain engraved in the history of Donggang University…”

Everyone around him would discuss this matter, and Zhou Kaijun's living environment became worse and worse, so naturally he couldn't stay there any longer.

After Jiang Weizi's implicit persuasion, he chose to resign voluntarily.

After learning the news of Zhou Kaijun's resignation, Zhang Shuo suddenly felt much more relieved. The matter was indeed in the past, but as long as Zhou Kaijun was at the Donggang Mathematics Center, he would always think of the past.

"So, the East Port Mathematics Center specially invited me to this event in order to put aside the past grudges with me?"

Zhang Shuo pondered.

The other party took the initiative to invite him, so there must be this meaning behind it, but he still decided not to go.

Firstly, the research on NS equations has just achieved some interim results, and the next step is to find the direction of infinite value proof. There is no point in attending the theoretical conference on partial differential equations, and there is a high probability that there will be no improvement in the progress of the task.

Second, he does have a lot of work to do.

Recently, he, Luo Yongjun and Li Weihua have been studying the proof of the NS equation. At the same time, the Condensed Matter Physics Research Center has also completed a lot of basic experiments, which involves a lot of experimental data collation and analysis. In addition, he wants to focus on experiments in new directions.

"Let Teacher Luo and Teacher Li go..."

Zhang Shuo thought about it and made a decision. However, after thinking about it, he still told Li Jianfeng about the NS equation proof problem. "My research group has completed the coverage proof of conventional values."

“You can bypass this topic in your seminar.”

……

Office on the second floor of Donggang Mathematics Center.

There were several people in the office, discussing an upcoming seminar on the theory of partial differential equations.

Donggang Mathematical Center is the initiator of the conference and has invited many famous domestic scholars, but Jiang Weizheng is most concerned about whether Zhang Shuo will come. Just like what Zhang Shuo thought, they took the initiative to invite him, and they really hope to put aside their past grudges with Zhang Shuo.

If Zhang Shuo can be invited to the seminar, it at least means that there is no direct contradiction between the two. Regardless of whether it can bring them closer, it will be much better as long as people don't feel that they have a "hostile relationship."

Zhang Shuo’s influence is really huge.

He is the first Fields Medal winner in the country and also set the age record for Fields Medal winners.

In the field of partial differential equation research in China, Zhang Shuo has become the veritable "first person", and no one even dares to compare with him. His achievements in the field of partial differential equations are enough to make anyone look up to him.

In addition, Jiang Weizhi also knew that Nanjiang Province hoped to build a new mathematics center around Zhang Shuo.

This is definitely not good news for the Donggang Mathematics Center.

Sudong and Donggang are too close to each other, so the two will definitely be compared together.

Zhang Shuo is a Fields Medalist. His title alone is enough to suppress the Donggang Mathematical Center. Coupled with his extremely young age and strong abilities, the Donggang Mathematical Center has even become uncompetitive and will be completely suppressed in the future.

Qiu Chengwen is also a Fields winner, but he is old after all, and most of his energy is devoted to education. The capital is also far away from Donggang, so there is no direct competition, and they are generally not compared.

In short, Zhang Shuo alone brought a lot of pressure to the Donggang Mathematics Center.

If both parties can put aside their past grudges, regardless of how much cooperation there will be in the future, at least there will be no hostility or competition, which will make the Donggang Mathematics Center feel much more relaxed.

Li Jianfeng talked about Zhang Shuo. "I talked to Professor Zhang Shuo. He is too busy with work and has no time to attend the meeting. However, Professors Luo Yongjun and Li Weihua from his research group will attend the meeting."

Jiang Weizi nodded somewhat disappointedly.

Li Jianfeng added, "By the way, Zhang Shuo also gave us a suggestion, saying that we don't need to discuss the coverage proof of the NS equation."

"Why?" Jiang Weizi was a little puzzled.

Li Jianfeng said very vigorously, "His research group has completed the proof, that is, the smoothness of the analysis of the conventional valued NS equation."

Without waiting for others to react, he continued, "I was also surprised when I heard it. It feels incredible!"

Jiang Weizhi thought about it and asked, "Are you sure?"

"This one……"

Li Jianfeng was also a little unsure. He just heard Zhang Shuo say this on the communication app, and the two did not have an in-depth discussion about the issue.

In addition, even if the argument is completed, it is uncertain whether it is correct or not.

However, considering that the other party was Zhang Shuo, he felt that it was possible. After all, Zhang Shuo had been studying the ns equation and had made great progress. It was not surprising that he had completed the covering proof.

The only thing is...

It's so fast!
Jiang Weizhi also said, "How long has it been since the August meeting? Less than half a year!"

"I remember that it seemed like two months ago that Zhang Shuo proved that there is no singularity in the square channel under the Cartesian coordinate system. Now he has completed the coverage proof of conventional values..."

Jiang Weizi frowned as he spoke.

He felt that things were not that simple, and that completing the coverage proof of the ns equations was incredible in itself.

The speed is so fast that it is even more incredible.

He believed that Zhang Shuo had the ability, and maybe he would be able to explain it in a few years.

just now……

"Maybe they want to influence our seminar? That shouldn't be the case. Kaijun has already left, and that little girl has long been expelled from school."

"I myself don't seem to have any direct conflicts with him."

"Or has he actually completed the argument?"

Jiang Weizhi still couldn't believe it, so he simply said, "Let's just arrange it as normal. The invitations have already been sent out. If Zhang Shuo doesn't come, we'll just hold the seminar as normal."

……

Zhang Shuo not only received two emails about the seminar, but also received emails from other scholars he knew, asking whether he would attend the conference.

In the field of partial differential equations, Zhang Shuo is the number one in China.

This is already recognized.

Qiu Chengwen also specifically asked Zhang Shuo. He did not send an email, but asked directly using the communication software.

After learning that Zhang Shuo would not attend the conference, Qiu Chengwen felt a little regretful. "This kind of seminar feels like something is missing without you, and the value is reduced."

After saying this, Qiu Chengwen also invited Zhang Shuo to attend the Conference of Chinese Mathematicians next year in advance.

This time Zhang Shuo agreed.

The Chinese Congress of Mathematicians is a mathematics conference organized by Qiu Chengwen, and it has already had a great international influence.

In the following days, Zhang Shuo, Luo Yongjun and Li Weihua sorted out the information together, and then began to consider the issue of publishing the paper.

Papers of this level are usually reported in top academic institutions. For example, Andrew Walls' proof of Fermat's conjecture was first reported at the Newton Institute.

Zhang Shuo doesn't think so.

Firstly, the research has already had a certain foundation, including the argument for the singularity of turbulent transition made by the Mathematicians' Congress. Some of the proofs that have been cleaned up can be used directly as conditions, which makes the content of the paper much shorter.

Second, the paper is far less complicated than the proof of Fermat's conjecture, totaling only about forty pages, and there are no difficult-to-understand mathematical and logical problems.

As long as the paper is published normally, some scholars will be able to understand the process through slow research.

The difference between the argument for the NS equation and the proof of Fermat's conjecture is that the latter only proves a mathematical problem, and most scholars are more interested in the results than the process.

The NS equation argument is more attractive in its process.

Even if the final result is wrong, many scholars will be interested in studying the proof process because it may be applied in the study of other partial differential equations.

Zhang Shuo discussed it with Luo Yongjun and Li Weihua, and after careful consideration, they came up with an idea.

He selected several mathematics journals and then sent an email to each editorial office with the same content:

"My research group has completed the smoothness proof of the solution set of the NS equation with natural boundaries and conventional values.

If the paper is submitted, when will it be published? "

(End of this chapter)