From Almighty Scholar to Chief Scientist
Chapter 352 Even more awesome!
Chapter 352 Even more awesome!
Lin Xiao looked at the turbulent flow model on the software in front of him in surprise.
The turbulence model at this time is still in a turbulent state.
It's just that this turbulent state will occasionally turn into a regular state.
This regular state is different from the ordinary stable state before. 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. It is like pouring water from a bottle into a cup. If you turn 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 kind of vortex, and in this way, the flow speed of the gas will be faster.
And the flow is fast, what does it bring?
Apparently, it has brought about greater propulsion.
For example, in a submarine, the more fluid that is pushed out at the same time, the greater its mass, which in turn brings stronger thrust.
So Lin Xiao couldn't help being excited at this time.
If the cause of this vortex can be figured out and reproduced in reality, then what will be brought by then will be an extremely powerful nuclear submarine.
Thinking of this, Lin Xiao immediately began to explore why this happened.
What magical mystery of fluid physics is hidden in the mathematical model he constructed.
……
It is not easy to find out the cause of this eddy current, but it does not bother Lin Xiao.
Anyway, he now has a super account of Sunway TaihuLight. Basically, as long as he has a model, he will go to the supercomputer to calculate it, which is very convenient.
And with his construction of the new model, the time for this vortex to appear has become longer and longer, and the number of times it has been included has also become more and more.
Ever since, in his turbulence model of the magnetic fluid propeller, there are three states in this way, one is the basic stable state, the fluid basically runs stably under the promotion of electromagnetic force, and the second is the turbulent flow state, basically It can be determined that under the promotion of electromagnetic force, a chain reaction is formed inside the liquid, and the collisions between them lead to a completely irregular flow, while the third is the vortex state, obviously in a single direction of force Under the push, such a vortex is formed, and the mystery hidden in it may not be less than a Hall effect.
In addition, according to calculations, the thrust generated by this vortex is about twice that of the basic steady state.
This means that the 60 knots calculated by Ma Weimin and the others are likely to be doubled, and the most critical acceleration can also be improved.
Once this principle can be applied to nuclear submarines at that time, I am afraid that it will not be the original dimension reduction strike, but a two-dimensional reduction strike.
Not to mention the taillights, the enemy's nuclear submarines can't even eat farts.
Of course, the premise has to be researched first.
In this way, time passed quickly.
……
The time has entered June.
"Professor, my topic is confirmed."
"Oh? It's so hard that you can still remember your topic."
Looking at Chen Mingkai who came to look for her, Lin Xiao frowned, put down the pen in her hand, stopped the research on the NS equation for now, stood up and stretched, and said at the same time, "I told you before July Hand it over, you have to wait until July."
"Hey, didn't I always think about how to keep silent and make it a blockbuster." Chen Mingkai scratched his head and laughed.
Lin Xiao couldn't help chuckling: "It seems that you are quite confident."
"If you are not confident, do you still call you a student?" Chen Mingkai smiled, then handed a piece of paper to Lin Xiao, and said, "Professor, look, this is my topic."
Lin Xiao nodded, then took the things over, glanced at them, and couldn't help being surprised: "Richie?"
"Yes, L2 curvature bounds on ricci curvature bounded manifolds."
Chen Mingkai nodded.
He studies algebraic geometry, and this question is actually more biased towards differential geometry. This topic is very in line with his direction.
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..."
"In addition, the non-compressive volume lower limit Vol(B1(p)) is greater than v and greater than 0, and then try to determine the curvature bound of L B1(p)|Rm|..."
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 is necessary to prove 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!
(End of this chapter)
Lin Xiao looked at the turbulent flow model on the software in front of him in surprise.
The turbulence model at this time is still in a turbulent state.
It's just that this turbulent state will occasionally turn into a regular state.
This regular state is different from the ordinary stable state before. 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. It is like pouring water from a bottle into a cup. If you turn 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 kind of vortex, and in this way, the flow speed of the gas will be faster.
And the flow is fast, what does it bring?
Apparently, it has brought about greater propulsion.
For example, in a submarine, the more fluid that is pushed out at the same time, the greater its mass, which in turn brings stronger thrust.
So Lin Xiao couldn't help being excited at this time.
If the cause of this vortex can be figured out and reproduced in reality, then what will be brought by then will be an extremely powerful nuclear submarine.
Thinking of this, Lin Xiao immediately began to explore why this happened.
What magical mystery of fluid physics is hidden in the mathematical model he constructed.
……
It is not easy to find out the cause of this eddy current, but it does not bother Lin Xiao.
Anyway, he now has a super account of Sunway TaihuLight. Basically, as long as he has a model, he will go to the supercomputer to calculate it, which is very convenient.
And with his construction of the new model, the time for this vortex to appear has become longer and longer, and the number of times it has been included has also become more and more.
Ever since, in his turbulence model of the magnetic fluid propeller, there are three states in this way, one is the basic stable state, the fluid basically runs stably under the promotion of electromagnetic force, and the second is the turbulent flow state, basically It can be determined that under the promotion of electromagnetic force, a chain reaction is formed inside the liquid, and the collisions between them lead to a completely irregular flow, while the third is the vortex state, obviously in a single direction of force Under the push, such a vortex is formed, and the mystery hidden in it may not be less than a Hall effect.
In addition, according to calculations, the thrust generated by this vortex is about twice that of the basic steady state.
This means that the 60 knots calculated by Ma Weimin and the others are likely to be doubled, and the most critical acceleration can also be improved.
Once this principle can be applied to nuclear submarines at that time, I am afraid that it will not be the original dimension reduction strike, but a two-dimensional reduction strike.
Not to mention the taillights, the enemy's nuclear submarines can't even eat farts.
Of course, the premise has to be researched first.
In this way, time passed quickly.
……
The time has entered June.
"Professor, my topic is confirmed."
"Oh? It's so hard that you can still remember your topic."
Looking at Chen Mingkai who came to look for her, Lin Xiao frowned, put down the pen in her hand, stopped the research on the NS equation for now, stood up and stretched, and said at the same time, "I told you before July Hand it over, you have to wait until July."
"Hey, didn't I always think about how to keep silent and make it a blockbuster." Chen Mingkai scratched his head and laughed.
Lin Xiao couldn't help chuckling: "It seems that you are quite confident."
"If you are not confident, do you still call you a student?" Chen Mingkai smiled, then handed a piece of paper to Lin Xiao, and said, "Professor, look, this is my topic."
Lin Xiao nodded, then took the things over, glanced at them, and couldn't help being surprised: "Richie?"
"Yes, L2 curvature bounds on ricci curvature bounded manifolds."
Chen Mingkai nodded.
He studies algebraic geometry, and this question is actually more biased towards differential geometry. This topic is very in line with his direction.
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..."
"In addition, the non-compressive volume lower limit Vol(B1(p)) is greater than v and greater than 0, and then try to determine the curvature bound of L B1(p)|Rm|..."
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 is necessary to prove 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!
(End of this chapter)
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