Research starts with PhD students

Chapter 205 Congratulations on solving another big problem in the mathematics community!

At the Chinese Congress of Mathematicians, the news that Zhang Shuo was going to present a report on the proof of infinite values ​​of the NS equation quickly spread throughout domestic and international opinion.

The mathematics community is paying close attention to this, and several major research institutions have begun discussing this issue.

Clay Mathematics Institute.

Rost-Brand arrived at the office early as usual. As soon as he entered the door, a colleague told him the news, "Zhang Shuo has completed the proof of infinite values ​​and is preparing to publish it at a mathematics conference."

"what?"

Rost-Brand was shocked when he heard it, and asked several more times before he confirmed the content.

He frowned immediately.

Previously, Zhang Shuo completed the proof that there are infinite values ​​under natural boundaries, and the Clay Mathematics Institute discussed whether to award the prize for the Millennium Conjecture, and a lot of controversy arose in the process.

Some people believe that finite values ​​solve most engineering problems and confirm the reliability of the application of the N-S equations, which is enough to believe that the N-S equation problem has been solved.

But some people believe that the problem has not been fundamentally solved from a mathematical perspective.

Unlimited values ​​also involve many problems.

The pure mathematical proof of the Ns equation is very important in itself. Without the proof of infinite values, it is equivalent to only proving a small part, which can even be classified as the field of applied mathematical results.

Rost-Brand was among those who opposed the award.

He did not have any other thoughts, such as discrimination based on nationality or race, or any negative opinions towards Zhang Shuo. He just felt from the bottom of his heart that the Ns equation problem had not been solved.

Now, Rost-Brand was also very surprised to hear that Zhang Shuo had completed the argument for infinite values.

They discussed this issue and all agreed that Zhang Shuo's method of proving finite values ​​cannot be applied to the proof of infinite values.

In other words, if you want to complete the argument of infinite values, you must find a new way to prove it from beginning to end.

This is simply impossible to accomplish.

After Rost-Brand realized what was happening, he immediately sat down at his desk and contacted his old friend, Qiu Chengwen from the Mathematics Center of Shuimu University.

"Is Zhang Shuo's research confirmed to be completed?" he asked directly.

Qiu Chengwen was not surprised at all. He had received several calls since yesterday, all asking the same question.

He said calmly, "I don't know either. He just updated the report title and introduction on the website."

"Why not ask?"

Rost-Brand frowned and asked again, then realized that he had asked a stupid question.

He answered his own question and said, "Of course, there is no need to ask."

Zhang Shuo has already updated the title and content of the report on the website, which naturally means that the proof has been completed. Wouldn't it be tantamount to questioning if he asked directly?
"Ok."

Rost-Brand shook his head and said, "You hosted that conference, didn't you?"

"Looks like I have to book a flight. I mean, I have to go to the conference."

Qiu Zhengwen smiled and said, "You are most welcome!"

The Conference of Chinese Mathematicians, as the name suggests, is a conference attended by Chinese mathematicians from home and abroad. In fact, it is also an opportunity for Chinese mathematicians to give reports at the conference and communicate with top mathematicians, so as to enhance the experience and level of young scholars.

Therefore, other famous scholars can also apply to attend the conference.

If we want to make the conference more influential, we naturally need to attract more top mathematicians, and each conference will also specially invite some top mathematicians as guests.

Rost-Brand’s fame and influence were enough to earn him an invitation to the conference.

……

While public opinion was swirling, Zhang Shuo, Luo Yongjun and Li Weihua were carrying out the final push, and the research had been completed by 99.5%.

The last step is very important.

This involves the issue of rigorous logic, which is to combine all the conditions of the argument together to prove that there is no singularity at any point in the NS equation, which also explains the existence, uniqueness and smoothness of the solution of the NS equation at any point.

Zhang Shuo originally thought that it would be easy to finish, after all, all the conditions had been listed, but putting together more than a hundred pages of complex arguments was quite a headache.

The logical relationship needs to be sorted out slowly, and there are some very brain-burning arguments to be done.

Even Zhang Shuo is like this.

Luo Yongjun and Li Weihua both have their hair turned gray from worry. No, to be more precise, their hair is almost falling out.

When faced with a complex logic problem, Luo Yongjun scratched his scalp hard while thinking, and suddenly a few sparse hairs fell off. He said happily, "I figured it out!"

“It’s rigorous here.”

"Deducing upward from conditions three and four, we can actually form a perfect closed loop with conditions seven and eight."

"Please look at the boundary function of condition three. The coverage value graph is..."

"Ula Ula~~"

Luo Yongjun spoke a lot of things excitedly. After he finished speaking, he saw the two people opposite him nodding continuously with strange looks in their eyes.

"What's wrong? Was I wrong?" Luo Yongjun asked in confusion, and then he saw Zhang Shuo pointing his finger at a spot on his scalp.

He touched it with his hand and his face fell immediately, "Another bald spot, my hair has been falling out too fast recently."

"So the research speed is very fast, that's great, Teacher Luo." Zhang Shuo gave a thumbs up.

What Luo Yongjun thought of was of great help to the research and also increased the task progress to more than 99.8%.

The three of them continued to work hard and spent an afternoon finally completing the entire logical analysis.

The next step is to organize the paper.

……

By this time, it was already the end of July.

The Chinese Mathematician Conference is in early August, so time still feels a bit tight.

Organizing a paper is not an easy task.

They need to sort out each part clearly and make sure there are no errors or disagreements in the proof of each position. If some parts can be simplified, they should try to simplify them as much as possible.

After work, Zhang Shuo picked up his mobile phone and found a missed call from Qiu Chengwen.

He called back immediately.

Qiu Chengwen thought for a long time before calling Zhang Shuo, because he didn't want Zhang Shuo to misunderstand that he was questioning his research. After the call was connected, he said, "Zhang Shuo, you have completed your research on the ns equation, right?"

After saying that, he quickly added, "What I mean is that I suggest you upload the paper in advance."

"Do I need to upload the paper in advance?" Zhang Shuo asked doubtfully.

"Of course regular reports require papers, but you don't need one. However, I think your research may be very complicated. You can upload the paper in advance for others to see, and then give a report at the conference. Otherwise, if you just give a talk, many people may not understand."

"Oh~ that's right!"

Zhang Shuo suddenly understood.

The argument for the infinite value of the Ns equation is very complicated, and it takes at least 80 pages to sort it out. With so much content and complicated logical arguments involved, even the top scholars in the field of partial differential equations may not be able to fully understand it.

If you can upload the paper in advance so that relevant scholars know its content, it will be easier to make a report.

Zhang Shuo thought about it carefully and gave a timer, "Let's wait for another three days. We haven't sorted it out yet."

Qiu Chengwen was stunned for a moment, "You mean, you haven't finished yet?"

“Just organizing papers.”

"Ok."

Qiu Chengwen's tone became a little uncertain.

He previously believed that Zhang Shuo had completed the research, otherwise he would not have written "ns equation demonstration" in the report.

Haven’t finished your paper yet?
Such research is generally very complicated, and it may take one or two months to complete it, and it may also take a long time to organize the paper.

Even if the research is completed, will it really be too late?
……

Of course there is still time.

It takes others a long time to organize their papers simply because the logic is unclear due to complex arguments. Organizing a paper is equivalent to reorganizing the proof process.

This requires patiently studying part by part, and rethinking solutions if problems are found in the middle.

Zhang Shuo is different.

After submitting the ns equation task, all the proof logic and process were clearly imprinted in his mind, allowing him to have a deeper understanding of the proof process.

This in-depth understanding allows him to accurately describe each part of the process.

So for him, the process of organizing the paper was just a matter of finding the corresponding parts and making simple revisions.

Zhang Shuo said he would have to wait three days, but in fact, only two days had passed and he had completed the organization of the paper. And it was not even the first draft, but a further revision of the first draft, simplifying some complicated proof processes.

During this process, Luo Yongjun and Li Weihua looked at Zhang Shuo as if he were a monster.

Most of the subsequent research was done by the two of them. As a result, Zhang Shuo understood the proof process more deeply than they did. He could clearly find the key points in each part and understand the logic of the argument.

They also need to reorganize their memories and think carefully before they can understand.

"Zhang Shuo, I really don't know what's wrong with your brain. You even know some of the details of such a complicated argument."

"Don't even mention your math skills. You must have a good memory..."

“This is genius!”

Li Weihua sighed, "I am really old. I can't compare myself with others. I can't even understand the research I have done."

"You couldn't do it when you were young!" Luo Yongjun quickly ridiculed.

Li Weihua glared at him immediately, "You are the only one who can do this. Your hair is almost falling out, and you still have the mood to criticize me."

"At least, Zhang Shuo is my student. It's normal for the student to surpass his teacher!" Luo Yongjun replied proudly.

Li Weihua had an urge to vomit blood. Whenever the topic of Zhang Shuo came up, Luo Yongjun would emphasize that Zhang Shuo was his student.

Hearing this sentence too many times really makes people feel uncomfortable.

The problem is, there is no way to refute it!

……

On the last day of July, Zhang Shuo uploaded his 82-page paper to the official website of the Chinese Mathematicians Conference.

Prior to this, Qiu Chengwen had already notified the Management Committee of the Chinese Mathematicians Congress in advance, and also carried out some publicity on the official website. He also confirmed that the report would be given on the morning of the second day of the opening ceremony, with no time limit.

When the paper was officially uploaded, it immediately attracted the attention of the international mathematics community.

The Ns equation problem is too serious.

After hearing the news, all mathematicians who were concerned about the ns equation problem immediately visited the official website of the Chinese Congress of Mathematicians and downloaded the paper.

Afterwards, public opinion was relatively quiet.

Those scholars who paid attention to the paper were studying its content, and there were only some purely gossipy discussions in the public opinion, "It is said that Zhang Shuo has uploaded the paper. Has the Ns equation problem been solved?"

“Has any major organization confirmed this?”

"Is there any other news? Why does it seem like no one is discussing it?"

There is no news in the media, so some people go and ask "professionals".

For example, many netizens jokingly asked Dr. Xinqi, "Doctor, what do you think of Zhang Shuo's latest research?"

"Doctor, have you read the paper? Has the NS equation problem been solved?"

"Doctor, please give us your comments!"

"Dr. Novelty" Yang Chao's face darkened when he saw these messages. How could he be qualified to read Zhang Shuo's latest paper?

In fact, he downloaded it too.

After opening the paper, I found that I couldn’t even understand the first page, let alone make any comments.

The complicated mathematics simply excludes people who are not majoring in mathematics, and mathematics majors also need at least a doctoral degree to barely understand some of the content.

"Reviews?"

Yang Chao felt that he could not admit defeat, so he immediately replied, "I bet the NS equation problem has been solved!"

"Master Zhang Shuo has taken action, and everything will be fine!"

"Another of the seven millennium mathematical conjectures has been solved! Congratulations to Zhang Shuo, and congratulations to mathematics!"

After these words were spoken, netizens immediately lost interest.

'Dr. Novelty' has already given in, what else can we do?
Not to mention laymen in the field of mathematics, even for experts, it is not easy to fully understand the paper.

Professor Anton Kapustin of California Institute of Technology took three days to understand the general content of the paper.

Some of the complex logical arguments were still unclear, but the overall ideas and methods of proof had been imprinted in his mind. He put down the paper with dark circles under his eyes, feeling unsatisfied.

Then, he could not wait to log in to his personal account and share his views with his peers online. “We all thought it was impossible, but he did use the original method to prove infinite values.”

"When the NS equations are separated from qualitative parameters, the boundary expansion and the uncertainty of parameter values ​​will make the argument extremely complicated."

"I have always viewed it this way, and I believe many people do too. However, he completed the boundary argument with clear logic and changed 'infinite values' to 'finite values', proving that for every point, the NS equation does not have a singularity..."

"I looked at all the content and I'm not sure it's all correct, but overall there's no problem."

"Now, I can only say that it is very likely to be successful. This is very exciting, which means that the ns equation problem is very likely to have been solved!"

"Congratulations in advance to the mathematics community for solving another difficult problem!"

"Having said that, I have decided to attend the Chinese Mathematicians Conference. I want to witness that moment with my own eyes!"

(End of this chapter)