Dense mist floats on the purple clay pot.
Just now, in order to cover up his embarrassment and ignorance with tea, he accidentally drank too much...
After communicating with Mr. Qiu, Lu Zhou was greatly inspired.
At the third hour, the conversation between the two finally ended.
Looking at this line of title, his eyes were filled with enthusiasm.
"Boss, what did you just talk about?"
Although the system includes engineering in its levels, human energy is limited after all. He has never conducted in-depth research on this field. Even if he has improved his talent, this improvement has not given him a more intuitive feeling.
In this way, time passed by minute by minute, and the clock on the wall went through two circles without realizing it.
Moreover, this pain is not only mental, but also physical.
Lu Zhou nodded: "Okay."
"Research on the overall existence of smooth solutions to the three-dimensional incompressible Navier-Stokes equation under specific initial values"
But before that, what he did was like spinning around an insurmountable wall.
The mist on the tea table has long since dissipated, and the tea in the cup has become cold.
Zhao Yi was stunned for a moment, and then described his problem somewhat generally: "That's the kind that can be realized."
Lu Zhou did not answer this question, but asked: "What is 'truth' as you understand it?"
After his trip to Harvard, Lu Zhou returned to the small room in Princeton and redefined his research ideas. He felt that every cell in his body was filled with endless inspiration.
"As for the turbulence phenomenon, as far as I know, the Clay Research Institute has been studying this and has invested a lot of money. However, although there have been some results, they are not big results."
"Since the experimental tools can't solve it for the time being, let's start from where I can solve it!"
"No, this is a technical ceiling." Mr. Qiu put down his teacup, shook his head, and continued in a joking tone, "If you can design an experiment to observe high-temperature and pressure plasma, your contribution to plasma physics will be I’m afraid its contribution to biology is no less than that of cryo-electron microscopy.”
Lu Zhou: "Why?"
In the following time, the issues the two exchanged were basically focused on the field of mathematics.
Since experimental tools cannot solve the problem, why not start by improving theoretical tools
"My personal suggestion is that since there is no solution for the experimental tools yet, why not try to improve the theoretical tools first?" After a pause, the old man looked at Lu Zhou doubtfully, "Logically speaking, mathematics is your strength, right? .”
"Among the many problems about partial differential equations, the Navier-Stokes equation is probably the most difficult one. Except for a few problems, we cannot directly analyze the system of partial differential equations constructed by the Navier-Stokes equation. To solve the problem, we can only settle for an approximate solution.”
I don’t know how many cups of tea it was. Zhao Yi, who was sitting next to him, was fidgeting and moving his buttocks.
yes.
Hearing this, Lu Zhou smiled helplessly.
Next, it’s time for another exciting moment of excitement!
In short, before he could climb over the wall, he needed to build himself a ladder.
After a while, the tea was boiled.
Lu Zhou couldn't wait to sit in the study, facing a brand new piece of white paper, turning the ballpoint pen in his hand and whispering to himself.
Mr. Qiu smiled: "Because we do not have an effective observation method for ions with equal high temperature and pressure. For example, we take a nanoscale probe and poke it into ordinary gas to collect the information of gas molecules. Data, the perturbation of the probe itself on the gas movement can basically be ignored."
But asking him to design experimental equipment was really beyond his capabilities.
Lu Zhou asked thoughtfully: "Is there a solution?"
For example, the NS equation itself is used as a proposition to conduct research, and relevant theoretical tools are improved while studying the NS equation. Just like when he first studied additive number theory, if there was no previous series of mathematical propositions as a foreshadowing, and he started to challenge Goldbach's conjecture, there would be a high probability that there would be no solution.
“… Establishing a theoretical model or a more accurate phenomenological model for plasma requires more precise observational data rather than diagnostic data.”
Zhao Yi blushed when asked, touched the back of his head, and smiled sheepishly.
Lu Zhou smiled and said: "The meaning of science is to use scientific methods to realize things that cannot be realized. Is it still necessary to study problems that have been solved? Just look through the literature. You are all doctoral students. , why are you asking such a layman’s question?”
Thinking of this, Lu Zhou's thoughts gradually became clear.
…
I have to say, this is really a painful thing.
"But high-temperature and pressure plasmas are different. We can use electrostatic probes and magnetic probes for mild plasmas, but for high-temperature and pressure plasmas, any tiny disturbance may cause the collapse of the entire system. The final result is the electromagnetic field The plasma could no longer be contained and it hit the first wall."
Mathematics is my strong point.
"As for the plasma turbulence you want to study, in my opinion it is even more difficult. Firstly, current computers cannot handle operations of that magnitude, so we can only do approximate solutions. Secondly, we cannot get Accurate observational data can only be relied upon by inaccurate diagnostic data."
The moment he heard these words, Lu Zhou was stunned for a moment, and a sudden realization came to his mind.
After moving his neck slightly, Lu Zhou raised his pen and wrote a title on the blank paper.
Although NS equations are not his research direction, he still has some opinions of his own regarding this century-old problem in the field of partial differential calculus. These insights were of great help to Lu Zhou.
"Boss, I want to treat you to a meal. Do you have time to see me for a while?"
Lu Zhou was in a very good mood and said pleasantly, "We talked about some interesting things."
Zhao Yi quickly rushed to the toilet when he went downstairs. After relieving himself, Zhao Yi ran out of the toilet, caught up with Lu Zhou, and asked breathlessly.
Listening to the two big guys exchanging mathematics problems, he, a doctoral student, couldn't get a word in. He wanted to leave but was embarrassed.
As the old man said, before solving the problem, it is more important to create the tools to solve the problem. Compared with the former, the latter is the key to the problem.
It's almost time for dinner.
After picking up the teacup, taking a sip, and moistening his throat, the old gentleman spoke slowly.
If true, that's really shocking.
It might be okay to let him design the experiment.
Zhao Yi rolled his eyes and asked, "I heard about controllable nuclear fusion. Is that thing... real?"
Mr. Qiu has his own experience in research in the field of partial differentials.
"Therefore, we can only obtain relevant plasma parameters through the electromagnetic waves emitted by the plasma itself, and thus establish a phenomenological model. However, because the spectrum of electromagnetic waves emitted by plasma is very wide, although the amount of information is large, the information contained in it It is also quite messy, and the phenomenological model established is only accurate within a limited range.”
If someone asks him to eat, he will not refuse.
After Lu Zhou said goodbye to Mr. Qiu, Zhao Yi was finally liberated.