Scholar’s Advanced Technological System

Before long, the tea was boiled.

The mist was floating on the purple sand pot.

After picking up the tea cup and taking a sip, moistening his throat, the old gentleman said slowly.

"Among many questions about partial differential equations, the Navier-Stokes equation is probably the most difficult direction. Except for a few problems, we cannot directly perform the partial differential equations constructed by the Navier-Stokes equations. To solve, you can only go back to the approximate solution. "

"As far as turbulence is concerned, as far as I know, the Clay Institute has been researching and investing a lot. However, although some results have been achieved, they are not significant."

"As for the plasma turbulence you want to study, in my opinion it is even more difficult. Now that computers cannot handle that kind of calculations, we can only do approximate solutions. Second, we can't get them Accurate observations can only rely on inaccurate diagnostic data. "

Lu Zhou: "Why?"

Mr. Qiu smiled: "Because we do not have an effective means of observing the plasma at isothermal pressure. For example, we took a nano-scale probe and poke it into ordinary gas to collect gas molecules. Data, you can basically ignore the perturbation of the probe to the gas motion. "

"But high-temperature pressure plasmas are different. For mild plasmas, we can use electrostatic and magnetic probes, but for high-temperature pressure plasmas, any slight disturbance may cause the collapse of the entire system. The final result is the electromagnetic field. The plasma cannot continue to be constrained, which hits the first wall directly. "

"Therefore, we can only obtain the relevant plasma parameters through the electromagnetic waves emitted by the plasma itself, thereby establishing an phenomenological model. However, because the spectrum of the electromagnetic waves emitted by a plasma is very wide, although the amount of information is large, It's also quite messy, and the phenomenological model built is only accurate within a limited range. "

Lu Zhou asked thoughtfully: "Is there a solution?"

"No, this is a technical ceiling," put down the tea cup, Mr. Qiu shook his head and continued in a joking tone. "If you can design experiments to observe high-pressure plasmas, and contribute to plasma physics, I'm afraid it's no smaller than the contribution of cryo-electron microscopy to biology. "

Hearing this sentence, Lu Zhou's smile was helpless.

Although the system includes engineering in the hierarchy, human energy is limited after all. He has never studied this field in depth, and even if he has gained a gift of improvement, this improvement has not brought him a more intuitive feeling.

It might be okay for him to design an experiment.

But letting him design experimental instruments is really beyond his ability.

"My personal suggestion is that since the experimental tools haven't been solved yet, why not try to perfect the theoretical tools first?" After a pause, the old man looked at Lu Zhou doubtfully. "It stands to reason that mathematics is your strength . "

The moment he heard this sentence, Lu Zhou froze a little, and a consciousness came to his mind.

Yes indeed.

Mathematics is his strength.

Since experimental tools cannot solve them, why not start with perfecting theoretical tools?

For example, the NS equation itself is used as a proposition to study, and by studying the NS equation, the related theoretical tools are improved. Just like when he was studying additive number theory, if there is no previous series of mathematical propositions as a prerequisite for him to challenge Goldbach's conjecture as soon as he comes up, there is no solution to the large probability.

Thinking of this, Lu Zhou's mind gradually became clear.

In the following time, the problems of communication between the two people were basically concentrated in the field of mathematics.

For research in the field of partial differentials, Mr. Qiu Lao has his own experience.

Although the NS equation is not his research direction, he still has some opinions of his own on the century-old problem that is open in the field of partial differentials. These insights are also very helpful for Lu Zhou.

In this way, the time passed minute by minute, and the wall clock unknowingly walked through two circles.

The mist on the tea table has long since dissipated, and the tea in the cup is already cold.

No longer knowing the first cup of tea, Zhao Yan, who was sitting next to him, moved his **** uneasily.

Listening to two big brothers communicating mathematical problems, he was a doctoral student who could not insert a word, but was embarrassed to want to leave.

I have to say that this is really a painful thing.

And, this pain is not only from the spirit, but also from the physiology.

Just now, in order to cover up his embarrassment and ignorance with drinking tea, he accidentally drank too much ...

At the third hour, the conversation between the two was finally over.

After Lu Zhou said goodbye to Mr. Qiu, Zhao Yan was finally liberated.

When he went downstairs, he rushed into the toilet quickly, and Zhao Xun, who had released his hands, trot out from the toilet, caught up with Lu Zhou's footsteps, and asked breathlessly.

"Brother, what did you talk about just now?"

Lu Zhou was in a very good mood, and said cheerfully, "I talked about something interesting."

Zhao Yan's eyes rolled around and he asked, "I heard controlled fusion. Is that thing ... really?"

If it is true, it is really shocking.

Lu Zhou did not answer this question, but asked instead: "What is the 'true' as you understand it?"

Zhao Yan gave a brief description of his problem in some general terms: "It is the kind that can be achieved."

Lu Zhou said with a smile: "The significance of science lies in the use of scientific methods to achieve those things that cannot be achieved, and the problems that have already been solved. Do we still need to study them? It is not necessary to look through the literature. You are all doctoral students. Why ask such a layman's question. "

Zhao Yan was blushed when asked the old face, touching the back of his head, embarrassed and smiling.

"Brother, I want to invite you for a meal. Do you have time to watch it?"

Lu Zhou nodded: "Let's go."

It's almost time for dinner.

Someone asked him to eat, and he would not refuse.

...

After interacting with Mr. Qiu Lao, Lu Zhou was inspired.

As the old man said, before solving the problem, it is more important to create tools to solve it. Compared with the former, the latter is the key.

In short, he needs to build a ladder for himself before going over the wall.

And before that, what he did was like spinning around a high wall that was insurmountable ~ www.readwn.com ~ Ended his trip to Harvard, returned to the cabin in Princeton, and cleared his thinking Lu Zhou, I just felt that every cell on and around the body was full of endless inspiration.

Can't wait to sit in the study, facing the new blank paper, Lu Zhou turned the ballpoint pen in his hand and whispered to himself.

"... Building a theoretical model or a more precise epiphany for plasma requires more accurate observations than diagnostics."

"If the experimental tool can't solve it for a while, let's start with where I can!"

Gently moving his neck, Lu Zhou raised his pen and wrote a line of titles on the blank paper.

"On the Global Existence of Smooth Solutions for Three-Dimensional Incompressible Navier-Stokes Equations at a Certain Initial Value"

Looking at this line of headlines, his eyes were full of energy.

Next, it was a happy moment of liver explosion!