From failed candidate to chief scientist

Chapter 89 Trial and Error
"Oh, Lin, I don't think I can really help you here. Besides, I have something to do at school, so I have to go back."

After Lin Mo took Bill Carr to study the Fourier transform for a day, Bill Carr said goodbye.

Birkar specializes in geometry and topology. Although he has dabbled in differential equations, he is not specialized. Therefore, after discussing with Lin Mo for a day, Birkar felt that his limited knowledge of differential equations had been overtaken by Lin Mo. He was so empty that he could no longer provide any help to Lin Mo.

In addition, it had been several days since Birkar came out. He was anxious to discuss with Lin Mo before he came, so the school did not explain it. After a few days of delay, there were a lot of things waiting for him to go back to deal with, so Birkar Offered his farewell.

Although Lin Mo is a bit regretful, after all, with such a walking academic bubble maker by his side, it shouldn't be too cool to squeeze the wool.

However, Lin Mo also knew that what Bill Carr said was true. This can actually be seen from the significant decrease in Bill Carr's contribution to the subject bubble today.

"Well, Coucher, I'm glad to discuss everything with you. You have given me a lot of help. I hope we will have the opportunity to work together next time."

"Yes, please call me if you need anything."

Birkar made a gesture of making a phone call and formally bid farewell to Lin Mo.

After sending away Birkar, Lin Mo was ready to devote himself to research again.

At this moment, Shan Gang approached Lin Mo.

"Lin Mo, can we start studying the NS equation now?"

Shan Gang can be said to be eager to see through.

The proof of Kakeya's conjecture has made Shan Gang completely believe in Lin Mo's ability, so she can't wait to start research on NS equations with Lin Mo.

Lin Mo frowned slightly,

The study of Fourier transform is to prepare for the NS equation, so the current primary goal is to solve the Fourier transform, not the NS equation. Didn't this make it clear to Shan Gang?
"I know you want to solve the Fourier transform first, but this does not conflict with the NS equation. We can study it together."

Seeing Lin Mo frowning, Shan Gang understood what Lin Mo was thinking and hurriedly explained.

"Actually, I have done some research on the NS equation before. It is not difficult to solve the NS equation, but it is difficult to get an exact solution. Usually, we can only get an approximate solution, and this approximate solution is relatively rough and not practical. For guidance, what we have to do is to make these approximate solutions more accurate and obtain more meaningful precise solutions."

"I have done corresponding research on this aspect, but I'm just stuck here..."

As Shan Gang spoke, he took out his notebook, which was densely filled with calculations and formulas.

"I think that if we continue to advance in this area, we should be able to achieve breakthrough results, but I have no direction for the time being, so I think..."

At this point, Shan Gang was a little discouraged.

She never thought that one day she would ask a graduate student who had not yet enrolled in school for advice, but after witnessing Lin Mo's strength, Shan Gang finally plucked up the courage to speak.

"I wonder if you can help me see if there is any good solution to this problem."

After finishing speaking, Shan Gang looked at Lin Mo expectantly.

But Lin Mo didn't respond. He just focused on Shan Gang's notebook and didn't respond.Seeing this, Shan Gang hurriedly added.

"Don't worry, I don't have any other intentions. I just feel that I have been coming to the Mathematics Research Center for a while but have not made any contribution to the center, so I want to do something. I happen to know the NS project better, so I thought first Do some preliminary work so that you can prepare for your subsequent research.”

"You can still focus on the Fourier transform. When you finish researching the Fourier transform, you can just get started with NS equation research, which can save a lot of time and improve efficiency. Don't worry, I definitely don't want to grab Credit or something..."

Shan Gang explained nervously.

At this moment, she did not regard herself as a teacher and Lin Mo as a student, but placed herself and Lin Mo in the same position. No, to be precise, she placed herself in a lower position.

Now Lin Mo is the person in charge of the Mathematics Research Center in her eyes, while she is just a researcher affiliated with the center, applying for a job from the person in charge, and waiting for the person in charge to make a decision.

Lin Mo didn't pay much attention to it at first, but as Shan Gang introduced her research, the subject bubbles dropped, making Lin Mo realize that Shan Gang really had some research on the NS equation, at least in terms of direction. , there should be no problem.

This made Lin Mo a little happy, because it meant that someone finally deliberately helped him share part of the research work.

The reason why Lin Mo didn't respond was because he was thinking, thinking about the question Shan Gang raised, how to continue after this, how to solve the problem that Shan Gang was stuck on, and what is the next research direction.

What is stuck in Shan Gang is that the problem is actually very complicated to say, but it is also very simple to say that it is simple, and it can even be summed up in one sentence, that is, the problem of equation conversion.

According to Shan Gang's research direction, the NS equation needs to be transformed, brought in, transformed step by step, and gradually simplified until it can be solved in the end.

This is why Lin Mo has always insisted on studying the Fourier transform first, because if the problem of the finiteness of the Fourier transform can be solved, then the conversion and transformation of the NS equation will be much easier and more applicable .

But this does not mean that there are no other methods besides Fourier transform.

What Lin Mo is thinking about now is actually what direction should be given for Shan Gang to study.

In fact, at this point, Lin Mo found that Shan Gang's greater use might be for trial and error.

That’s right, it’s just trial and error.

Because Lin Mo discovered that as long as it fits the research direction, the system will give him certain feedback, such as subject bubbles, which he discovered when discussing with Birkar.

When he was discussing with Bill Carr, Bill Carr would often put forward many ideas, but not all of them were correct. However, Lin Mo noticed that the emergence of subject bubbles was usually accompanied by correct ideas. This was Lin Mo's later reflection. verified.

Just now, when Shan Gang introduced his research to him, Lin Mo's guess was further confirmed.

Therefore, Lin Mo thought of a possibility, that is, he proposed a direction and asked Shan Gang to study it, and then waited for a period of research and asked Shan Gang to give him feedback. If subject bubbles appeared, it meant that there was no problem with the direction. On the contrary, It means the direction is wrong.

But in this way, Shan Gang will inevitably waste his efforts. It is very likely that after half a day of research, the direction is wrong and he needs to start over.

This made Lin Mo feel a little sorry for Shan Gang for a moment and hesitated in his heart.

(End of this chapter)