Lin Xiao looked at the turbulence model on the software in front of him with great surprise.
The turbulence model at this time is still in a turbulent flow state.
However, this turbulent state will occasionally transform into a regular state.
This regular state is different from the previous ordinary stable state. The liquid in this regular state seems to have become a vortex state.
In the vortex state, the flow rate of the liquid is very fast, just like a bottle pouring water into a cup. If it is poured directly, the water will go out of the bottle mouth "tons, tons, tons", but if it is turned around, the water will flow out of the bottle.
If you rotate the bottle so that the liquid inside forms a "tornado", the water will flow very fast.
Just like a fan, the gas flow generated by the fan is a vortex, and in this way, the gas flow speed will be faster.
And what does fast flow bring?
Obviously, it brings greater advancement.
For example, in a submarine, the more fluid pushed out at the same time, the greater its mass, which in turn brings stronger thrust.
So Lin Xiao couldn't help but feel excited at this time.
If the cause of this vortex can be understood and reproduced in reality, then it will be an extremely powerful nuclear submarine.
Thinking of this, Lin Xiao immediately began to explore why this happened.
What magical secrets of fluid physics are hidden in the mathematical model he constructed.
…
It is not easy to find out the cause of this vortex, but this does not trouble Lin Xiao.
Anyway, he now has a super account of Sunway TaihuLight. Basically, as long as he has a model, he will use the super computer to perform calculations, which is very convenient.
As he built the new model, the time for this vortex to appear became longer and longer, and the number of times it was included became more and more.
As a result, in his turbulence model of magnetic fluid propeller, three states appeared. One is the basic stable state, where the fluid basically runs stably driven by electromagnetic force. The second is the turbulent flow state, which is basically
It can be determined that it is because driven by electromagnetic force, a chain reaction is formed inside the liquid, and the collision with each other leads to completely irregular flow. The third type is the vortex state, which is obviously a force in one direction.
With the push, such a vortex is formed, and the mystery hidden in it may be no less than a Hall effect.
In addition, according to calculations, the thrust generated by this vortex is about twice that in the basically stable state.
This means that the 60 knots originally calculated by Ma Weimin and the others will most likely be doubled, and the most critical acceleration will also be improved.
Once this principle can be applied to nuclear submarines, it may not be the original dimensionality reduction attack, but a two-dimensional reduction attack.
The enemy's nuclear submarine can't even eat its farts, let alone its tail lights.
Of course, the premise must be researched first.
Just like that, time passed quickly.
…
Time has entered June.
"Professor, my topic selection is confirmed."
"Oh? It's really hard for you to remember your topic choice."
Looking at Chen Mingkai who came to find him, Lin Xiao raised his eyebrows, put down the pen in his hand, stopped studying the NS equation for the time being, stood up and stretched, and said at the same time, "I told you before July
The payment will be postponed until July."
"Hehe, haven't I always been thinking about how to just keep silent and become a blockbuster?" Chen Mingkai scratched his head and chuckled.
Lin Xiao couldn't help but chuckle: "It seems you are quite confident,"
"If you're not confident, why should I call you a student?" Chen Mingkai smiled, then handed a piece of paper to Lin Xiao and said, "Look, professor, this is my topic selection."
Lin Xiao nodded, then took the things over, took a look, and couldn't help but be surprised: "Richiliu?"
"Yes, L2 curvature bound on ricci curvature bounded manifold."
Chen Mingkai nodded.
He studies algebraic geometry, and this question is actually more partial to differential geometry. This topic choice is very consistent with his direction.
However, what surprised Lin Xiao was that he actually chose to study Ricci flow and Riemannian manifolds.
These two directions are also relatively profound in algebraic geometry - of course when it comes to this level, there are basically few that are not profound.
So this is undoubtedly a challenge for Chen Mingkai.
"You are really going to be famous if you don't sing. Of course, it depends on whether you can sing or not."
Lin Xiao smiled and said: "The topic is good, let's tell you what ideas you have now."
Regarding the education of students, Lin Xiao's philosophy is to allow them to make free choices, so he did not interfere with their selection of thesis topics and allowed them to develop freely.
Now even if Chen Mingkai chooses such a difficult direction, Lin Xiao will not think that he is too ambitious and will only encourage him to continue working hard.
When Chen Mingkai saw Lin Xiao, he didn't teach him to choose a topic randomly, but directly asked him to talk about his ideas, and he couldn't help but feel moved in his heart.
He has a friend who is also a doctoral student. Some time ago, he went to his supervisor with a difficult topic, but was criticized by his supervisor.
Although doctoral students need to have high requirements, it is obviously impossible for their supervisors to make them too demanding. Otherwise, they will not be able to complete their studies by then and the supervisor's time will be wasted.
Unless the tutor is the kind who specializes in squeezing students' labor force.
However, Lin Xiao is obviously not the kind of person who exploits students' labor force. After this year, Chen Mingkai hardly felt that he was being exploited, and actually made a lot of money, because Lin Xiao also paid them wages every month, and
It's five thousand a month, which is more than his monthly living expenses.
Every time he shares it with others, it attracts a lot of envy and jealousy.
Of course, he was moved, and he immediately explained to Lin Xiao his thoughts on choosing this topic.
"Consider |Ric| ≤ n-1 under the Riemannian manifold with bounded Ricci curvature..."
"In addition, the non-compressible volume lower limit Vol(B1(p)) is greater than v is greater than 0, and then try to apply the L curvature bound B1(p)|Rm|..."
Later, Chen Mingkai needed to check the calculations on draft paper. After all, it was still difficult to communicate these things in language.
Soon, Chen Mingkai explained his ideas and the problems to be solved to Lin Xiao.
Discovering problems, asking questions, analyzing problems, and solving problems are the four major steps in doing academic work. In Chen Mingkai's statement, he has clearly explained the two steps of discovering problems and raising problems. There must be no problem with the proposal report.
Already.
Maybe this guy could have chosen a topic for the report long ago, but he just had to put it off until today.
Of course, the proposal report is only the beginning, and the subsequent analysis of the problem is the key.
For this step, Lin Xiao needs to give certain guidance.
After listening to the ideas, Lin Xiao said: "This question, do you know what you need to complete first?"
Chen Mingkai thought for a while and said: "It needs to be proved that there is a l2 curvature bound greater than B1(p)|Rm|2(x)dx
Lin Xiao shook his head, "You are in the next few steps. First, you have to construct a limit structure, and then prove that the singular set S(X) is rectifiable. You may also need to use the Hausdorff measure."
After hearing Lin Xiao's instructions, Chen Mingkai suddenly fell into thinking.
It wasn't until a while later that his eyes suddenly lit up.
"Yes! We need to prove the limit of GH!"
"Thank you Professor!"
Chen Mingkai said with great gratitude.
Lin Xiao's advice could save him many detours.
He is truly worthy of being a forest god!
Thinking of this, he showed a flattering expression, leaned forward and said, "Professor, can you give me some pointers, what is that limit structure?"
Lin Xiao raised an eyebrow and said with a smile: "If you want to go, the master will show you in. Cultivation is a personal matter, so I won't just show you in."
"Can you please give me a heads up? Maybe without your words of advice, I would have postponed my graduation?"
"Just postpone it." Lin Xiao spread his hands: "Anyway, if you finish it late, I won't pay you your monthly salary."
Chen Mingkai: "...Okay."
"Go ahead, go ahead."
Lin Xiao waved his hand, showing a look of disgust.
"Okay!"
Chen Mingkai said immediately, and then quickly slipped away.
Lin Xiao watched Chen Mingkai leave and shook his head with a smile.
Of course, no matter what, Chen Mingkai's performance today at least proved that he had not been fishing for so much time before.
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 suddenly flashed through his mind, causing his eyes to narrow suddenly.
"Riemannian manifold?"
"Riemannian manifold...curvature..."
Then think back to that magical vortex state.
Abstract mathematics and concrete physical phenomena intersect at this moment.
Lin Xiao began to construct a physical phenomenon composed of numbers in his mind, and the vortex in it evolved into a peculiar numerical value.
Until the end, numbers constructed a perfect physical structure in Lin Xiao's mind. Then the corners of his mouth curled up slightly, and his eyes returned from absentmindedness to focus, and everything was in full view.
"So, this is the final solution to your vortex. I see you."
He suddenly picked up the pen and began to perform extremely complicated calculations on the scratch paper.
【μ(C ∩ Br)≤ 11?oμ(Co)……】
Until finally, he got a brand new system of equations.
Looking at this system of equations, he smiled.
Lin Xiao did not find proof of the existence and smoothness of the solution to the NS equation, he just analyzed the reason for the appearance of this strange vortex.
However, due to the appearance of this strange vortex, he will have every chance to reach the further back of the Millennium Prize - that is, the general solution to the NS equation!
As long as we solve the general solution of the NS equation, we can naturally know the existence and smoothness of the solution to the NS equation!
Of course, before that, he had to announce the good news to Ma Weimin.
They no longer have to think about how to solve the problem of Luo Shizi's chaos, because he has come up with an even better one for them!
