Scholar’s Advanced Technological System

After a while, the tea opened.

The mist of mist floated on the teapot.

Picking up the cup and slamming it, after running the scorpion, the old gentleman said slowly.

"In many problems with partial differential equations, the Navier-Stokes equation is probably the most difficult direction. Except for individual problems, we cannot directly apply the partial differential equations constructed by the Navier-Stokes equation. Solving, can only retreat and then find an approximate solution."

"As for the turbulence phenomenon, as far as I know, the Cray Institute has been researching and investing a lot. However, although it has produced some results, it is not a big achievement."

"As for the plasma turbulence you want to study, it seems even more difficult for me. Once the computer can't handle the kind of calculations, we can only do the approximate solution. Second, we can't get it. Accurate observation data, only inaccurate diagnostic data can be relied upon."

Lu Zhou: "Why?"

Mr. Qiu Lao smiled: "Because we do not have an effective means of observation for high-temperature plasma ions. For example, we take a nano-scale probe and poke it into a general gas to collect gas molecules. The data basically ignores the perturbation of the gas movement by the probe itself."

"But the plasma at high temperature is different. We can use electrostatic probes and magnetic probes for mild plasmas. But for high temperature plasmas, any slight disturbance can cause the whole system to collapse. The final result is electromagnetic fields. It is impossible to continue to constrain the plasma, which directly hits the first wall."

“Therefore, we can only obtain the phenomenological model by using the electromagnetic waves emitted by the plasma itself to obtain the phenomenological model. However, because the spectrum of the electromagnetic wave emitted by the plasma is very wide, although the amount of information is large, the information contained therein It is also quite messy, and the established phenomenological model is only accurate within a limited range."

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

"No, this is a technical ceiling," put down the teacup. Mr. Qiu Lao shook his head and continued in a joking tone. "If you can design an experiment to observe high-temperature plasma, the contribution to plasma physics, I am afraid that it does not contribute much less to biology than cryo-electron microscopy."

Upon hearing this sentence, Lu Zhou’s smile was somewhat helpless.

Although the system includes engineering in the hierarchy, the human energy is limited after all. He has not thoroughly studied this field. Even with the improvement of talent, this promotion has not brought him a more intuitive feeling.

Let him design the experiment may be okay.

But let him design the experimental instrument, which is beyond the scope of his ability.

"My personal suggestion is that since the experimental tools are still not solved, why not try to improve the theoretical tools first?" After a pause, the old man looked at Lu Zhou in confusion. "In theory, mathematics is your strength." ""

At the moment of hearing this sentence, Lu Zhou squatted slightly, and his heart slammed into a fascination.

correct.

Mathematics is your strength.

Since the experimental tools can't be solved, why not start with a perfect theoretical tool?

For example, the ns equation itself is used as a proposition, and the relevant theoretical tools are improved by studying the ns equation. Just as he did when he studied additive number theory, if there was no previous series of mathematical propositions as a foreshadowing, let him challenge the Gothbach conjecture as soon as he came up, and the big probability is also unsolvable.

Thinking of this, the thoughts in Lu Zhou’s mind gradually became clear.

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

For the study of 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 own opinions about this century-old problem in the field of partial differential. These insights are also helpful to Lu Zhou.

In this way, time passed by, and the wall clock on the wall went through two circles without knowing it.

The mist on the tea table had already dispersed, and the tea in the cup was already cold.

I don't know if it is the first few cups of tea. Sitting next to Zhao Wei, I am restlessly moving my ass.

Listening to the two big brothers communicating math problems, he is a doctoral student who can't insert a sentence, but he is embarrassed to go.

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

Moreover, this pain does not only come from the spirit, but more from the physiology.

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

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

After Lu Zhou gave a speech to Mr. Qiu Lao, Zhao Wei was finally liberated.

When I went downstairs, I quickly rushed into the toilet. Zhao Yi, who had finished the work, ran out of the toilet and caught up with the footsteps of Lu Zhou, asking in a panting breath.

"Da, what have you talked about?"

Lu Zhou was in a very good mood, and said with a pleasant smile: "Talked about something interesting."

Zhao Wei’s eyes turned and asked: “I heard controlled nuclear fusion, that thing... is it true?”

If it is true, it is really shocking.

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

Zhao Yi, some of the general description of his own problem: "Yes, 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 things that cannot be achieved. The problems that have already been solved are still needed to be studied. It is not necessary to turn the literature. You are all doctoral students. How to ask this layman question."

Zhao Wei was asked a red face, touched the back of his head, sorry to smile.

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

Lu Zhou nodded: "Go."

It was almost dinner at dinner.

Someone asked him to eat, he would not refuse.

......

After talking with Mr. Qiu Lao, Lu Zhou was inspired by it.

As the old gentleman said, before solving the problem, it is more important to create tools to solve the problem. The latter is the key to the problem compared to the former.

In short, he needs to set a ladder for himself before turning over the wall.

Before that, what he did was like a roundabout wall that was insurmountable.

After ending the trip to Harvard, I returned to the lodge in Princeton and re-examined the idea of ​​Lu Zhou. I only felt that every cell in my body was filled with inexhaustible inspiration.

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

“...building a theoretical model of the plasma or a more accurate phenomenological model requires more accurate observations than diagnostic data.”

"Since the experimental tools can't be solved temporarily, start with the place I can solve!"

Gently moved his neck, Lu Zhou lifted the pen and wrote a line of headings on the blank paper.

"Study on the Global Existence of Smooth Solutions of 3D Incompressible navier-stokes Equations with Specific Initial Values"

Looking at the title of this line, his eyes are full of enthusiasm.

Next, it’s time to have a happy explosion!