From Almighty Scholar to Chief Scientist

However, what surprised Lin Xiao was that he actually chose the research on Ricci flow and Riemannian manifolds.

These two directions are also relatively esoteric in algebraic geometry-of course, when it comes to this level, there are basically few who are not esoteric.

So this is undoubtedly a challenge for Chen Mingkai.

"You are indeed a blockbuster if you don't sing. Of course, it depends on whether you can sing."

Lin Xiao smiled and said, "The topic is good, so let's talk about it, what ideas do you have now?"

For students' education, Lin Xiao's idea is to let them choose freely, so he did not interfere with their topic selection for thesis, and let them develop freely.

But now even if Chen Mingkai chose such a difficult direction, Lin Xiao would not think that he was too ambitious, and would only encourage him to continue working hard.

When Chen Mingkai saw that Lin Xiao didn't teach him to choose a topic randomly, but let him talk about his ideas, he couldn't help being moved.

He has a friend who is also a doctoral student. Some time ago, he took a difficult topic to find his supervisor, but was criticized by his supervisor for a while.

Although doctoral students need high requirements, it is obviously impossible for the supervisor to make them too demanding. Otherwise, the completion will not be completed, and the time of the supervisor will be wasted.

Unless the tutor is the kind who specializes in squeezing the labor of students.

However, Lin Xiao is obviously not the kind to squeeze the labor force of students. After staying for a year, Chen Mingkai hardly felt that he had been squeezed. On the contrary, he made a lot of money, because Lin Xiao also paid them wages every month, and It was five thousand a month, which was more than his monthly living expenses.

Every time he shared it with others, it would attract a lot of envy and jealousy.

Of course, being moved is moving, and he immediately explained to Lin Xiao why he chose this topic.

"Consider |Ric|≤n-1 under a Riemannian manifold with bounded Ricci curvature..."

“此外非压缩的体积下限Vol（B1（p））大于v大于0，然后尝试对L^2曲率界fB1（p）|Rm|^2……”

In the end, Chen Mingkai needs to check the calculation on the draft paper, after all, it is still difficult to communicate these things in words.

Soon, Chen Mingkai explained to Lin Xiao his thoughts and the problems to be solved.

Finding problems, asking questions, analyzing problems, and solving problems are the four major steps in academics. In Chen Mingkai's statement, he has clearly described the two links of finding problems and raising problems. The opening report must be fine. up.

Maybe this kid has already been able to submit a topic for the report, but he insisted on delaying until today.

Of course, the opening report is just the beginning, and the next analysis problem is the key.

For this step, Lin Xiao needs to give some guidance.

After listening to the train of thought, Lin Xiao said, "This question, do you know what you need to accomplish first?"

Chen Mingkai thought for a while and said: "It needs to be proved that there is an l2 curvature bound greater than B1(p)|Rm|2(x)dx"

Lin Xiao shook his head, "You are a few steps ahead. First, you have to construct a limit structure, and then prove that the singular set S(X) is rectifying. Maybe you need to use the Hausdorff measure."

Hearing Lin Xiao's advice, Chen Mingkai immediately fell into thinking.

After a while, his eyes suddenly lit up.

"Yes! To prove the limit of GH!"

"Thank you professor!"

Chen Mingkai said gratefully.

Lin Xiao's suggestion can save him a lot of detours.

You really deserve to be Lin Shen!

Thinking of this, he showed a flattering expression again, leaned forward and said, "Professor, can you give me some pointers, what is the limit structure?"

Lin Xiao frowned, and said with a smile: "If I want to go, the master will lead me in. The practice is up to me. I will not only lead you in."

"Would you like to mention something~ Maybe I would have postponed it without your mention?"

"Delay your graduation." Lin Xiao spread his hands: "Anyway, if you postpone your graduation, I won't give you a monthly salary."

Chen Mingkai: "...Okay."

"go Go."

Lin Xiao waved his hand, showing a disgusted look.

"Got it!"

Chen Mingkai said immediately, and then quickly slipped away.

Lin Xiao watched Chen Mingkai leave, and shook his head with a broken smile.

Of course, no matter what, Chen Mingkai's performance today at least proved that he hadn't been fishing all the time.

This is very gratifying for Lin Xiao.

Then, he sat back at his desk and looked at the NS equation again.

But at this moment, Chen Mingkai's topic selection just now flashed through his mind, causing him to narrow his eyes suddenly.

"Riemannian manifold?"

"Riemannian manifold...curvature..."

Then think back to that magical vortex state.

Abstract mathematics and concrete physical phenomena intersect at this moment.

In Lin Xiao's mind, he began to construct a physical phenomenon composed of numbers, and the eddy current in it evolved into a strange value.

Until the end, in Lin Xiao's mind, a perfect physical structure was constructed digitally, and then the corners of his mouth slightly turned up, and his gaze returned from being absent-minded to active, and he had a panoramic view of everything.

"So, this is the final solution of your vortex, I see you."

He suddenly picked up the pen and began to perform extremely complicated calculations on the draft paper.

【μ(C∩Br)≤11－oμ(Co)...】

Until finally, he got a whole new set of equations.

Looking at the equations, he smiled.

Lin Xiao did not find proof of the existence and smoothness of the solution of the NS equation, he just analyzed the reason for the appearance of this strange eddy.

However, according to the reason for the appearance of this strange vortex, he will have the opportunity to go directly to the further back of the Millennium Prize—that is, the general solution of the NS equation!

As long as the general solution of the NS equation is solved, it is natural to know the existence and smoothness of the solution of the NS equation!

Of course, before that, he had to give Ma Weimin a happy ending.

They don't have to think of a way to solve that Lao Shizi turbulence anymore, because he thought of something even better for them!

Chapter 352 Brand new magnetic fluid thruster structure

"Hey, Academician Ma, what are you up to?"

"I'm still studying how to solve the problem of electromagnetic force. Now the software can't simulate it, so we can only use the water experiment."

When it came to this, Ma Weimin couldn't help complaining: "I didn't apply for too much funding at first, and I thought it was a one-off thing, but now the money I have to spend has been multiplied. Alas, think about the above When I was given this task, I was still making sure of it, but now it turns out that I don’t know where to put my old face.”

Lin Xiao couldn't help laughing and said, "What's so embarrassing about it? I don't know how many major achievements in the history of science come from an accidental discovery. It's no big deal to spend a little more money. Maybe the thing you discovered, Academician Ma, can be used in the future." It's called the Markov effect."

"Hahaha, this is quite reasonable. Professor Lin, you have said so, then I will call this turbulent flow phenomenon the Markov effect from now on."

Ma Weimin said with a smile, of course, this is more of a joke. After all, he was not the first to discover this effect, but the owner of his team. It is obviously inappropriate to name it by his last name alone.

Lin Xiao smiled. Of course, no matter what this effect is called in the future, it will be the same to him, because he discovered the eddy current effect, and will 100% call it "Lin's effect", because it is the effect he passed through himself. The calculations discovered are entirely his own achievements.

And speaking of this, Lin Xiao stopped talking to Ma Weimin about other things, and said directly: "Of course, Academician Ma, I'm calling you because of another matter."

"Oh? What's the matter?"

"You can stop your current work and don't have to do that turbulent experiment."

Ma Weimin was taken aback for a moment: "Why?"

Suddenly, he came to his senses and said in great surprise, "You won't be able to prove the NS equation, will you?"

When Lin Xiao said this, it obviously meant that he had solved the problem they were facing. Thinking about the previous things, this probably proved the millennium problem!

Hearing Ma Weimin's guess, Lin Xiao quickly said, dumbfounded: "How is this possible, of course not."

"It hasn't even passed a month. How can such a problem be so easy to prove..." Lin Xiao paused, and then smiled: "Of course, the first step has been completed, at least I have found the direction and train of thought."

Ma Weimin immediately became curious, good guy, Lin Xiao seems to be really sure to prove these questions now?

He couldn't help but have a deeper understanding of Lin Xiao's title of the smartest person in the world. Is this thing so easy to handle?

However, Lin Xiao didn't say too much on this topic, and said directly: "Okay, Academician Ma, let's stop talking about these gossips for now, and now you don't have to think about how to solve the problem of turbulence. I found another solution direction, and according to my calculations, we can make the liquid inside the ferrofluid realize a vortex state.”

"Using this vortex state, the flow speed of the liquid will be greatly increased, which in turn will increase the thrust for us. According to my calculations, its maximum thrust can be increased by about two times compared to the normal thrust. "

Hearing "twice", Ma Weimin was shocked immediately.

Originally, the thrust they tested under normal conditions was able to make the speed of the nuclear submarine nearly twice that of the previous pump-push technology. As a result, Lin Xiao now gave them another thrust that increased by about twice.

"Twenty Thousand Leagues Under the Sea" became "I Drive a Speedboat in Twenty Thousand Leagues Under the Sea"?

Oh no, the average speed of speedboats is only about [-] knots now, and only the top speedboats, the fastest speedboats in the world, can reach a speed of over [-] knots.

And once the thrust of their submarine can be doubled as Lin Xiao said, the final speed is estimated to be able to reach 100 knots or more-thrust is not equal to speed, because there is resistance in the water, the greater the speed, the greater the resistance. Naturally, the bigger it is, just like a person falling from the sky above the earth, the maximum speed is also limited.

Of course, no matter what, this means that their submarines will be on a par with the fastest speedboats in the world.

Thinking of this, Ma Weimin immediately showed great excitement.

As a military science and technology expert, he has a fancy to such a technology, and he can't wait to see it immediately.

So he didn't care about the proof of the NS equation that Lin Xiao just said, and asked directly: "Professor Lin, tell me about this technology quickly."

Lin Xiao smiled and said, "I'll come to the institute later, and we'll talk face to face."

This kind of thing is obviously safer to say in person.

"Okay!" Ma Weimin responded immediately.

Then they hung up the phone, and Lin Xiao quickly took all kinds of things, and then went to Dingguang Research Institute.

Come to the superconducting laboratory and find Ma Weimin's place.

Seeing Lin Xiao's arrival, Ma Weimin, who had been waiting all this time, immediately came up to him and said, "Professor Lin, you are finally here."

Lin Xiao smiled. Just by looking at Ma Weimin's expression, he knew that he was waiting impatiently.

Then he said: "That's no nonsense, Academician Ma, come and have a look."

Then he took out a USB flash drive, and then showed Ma Weimin a brand new turbulence model.

Looking at the liquid in a vortex state, Ma Weimin's eyes were straightened.

"Professor Lin, how... is this going to be realized?"

Lin Xiao smiled slightly and said, "Actually, you should be able to see that this vortex state is somewhat similar to the previous turbulent state."

Ma Weimin took a few more glances, then nodded, and said with some surprise: "Yes, it does look a bit like that, what do you mean...?"

Lin Xiao said: "So the cause of the vortex state is the same as the turbulent flow, except that the vortex state is a regular state, while the turbulent flow state is a chaotic state."

Then he took out another model and demonstrated it to Ma Weimin. This model was the one where he first discovered the eddy current.

Ma Weimin looked at this turbulent flow model, where the turbulent flow state and the eddy current state appearing alternately from time to time, he showed a clear expression.

This is roughly every particle in the chaotic system, which happens to be in a stable state at some point.

It can also be compared to a time crystal. At a certain moment, everything in the time crystal returns to its original state.

"However, how can this be accomplished?"

Ma Weimin suddenly asked, "In your new model, the vortex state has been maintained, but how can this be achieved?"

Lin Xiao said with a smile: "According to my calculations, the root cause of the turbulent flow and eddy current is mainly because the fluid velocity is too fast."

"Like the previous domestic experiments on this, the reason why there were no turbulent currents and eddy currents was mainly because in their experiments, the magnetic field strength that the superconductor used and its own critical magnetic field strength were very weak, basically far from It is lower than CCD-I, but now the performance of CCD-I is strong enough, and the driving force on the fluid is also strong, so this problem also arises.”

"In addition, I also analyzed before that the electromagnetic field is also the cause of this situation. Then, starting from these two points, we can make the eddy current state can be generated constantly."

Then he said to a researcher next to him who was looking stern, "Bring me a piece of paper for drawing, please."

The researcher came back to his senses and immediately said, "Okay!"

Then he left here, and went to find a large piece of paper for Lin Xiao.

When other people heard the rhythm of Lin Xiao's drawing, they all ran over to join in the fun.

Back then, Lin Xiao became famous on the Internet for his drawings. Everyone wanted to see with their own eyes how good this big guy, known as a human flesh drawing machine, was when he drew drawings.