Looking at the manuscript paper full of calculations in his hand, Xu Chuan's eyes went through the entire solution process in his mind, and he experienced it carefully.

His good memory allowed him to do this kind of thing with ease, but he was still a little skeptical about the fact that he was able to make a phased achievement of the 'blunt object supersonic turbulence problem' so easily.

After all, it's a world-class conundrum.

Even if he has solved three millennial problems one after another, he does not dare to say that he is invincible in mathematics and can solve all the problems.

There are mountains outside of people, and there are mountains outside of people, and in mathematics, there is no most difficult one, only more difficult ones.

Even the seven millennial problems, now recognized by the mathematical community, are not the most difficult to solve in the entire field of mathematics.

The reason why the millennial problem is the millennial problem is that when the Clay Institute of Mathematics was making the selection, many experts in the mathematical field discussed it together, and believed that these seven problems could be solved in this century.

And on top of that, there are some conjectures and puzzles that are almost universally recognized by the mathematical community as unsolvable in this century.

Such as the ABC conjecture, the standard conjecture, the unity of algebra and geometry, and so on.

Some of these problems are based on the solution of the millennial problem, such as the unity of algebra and geometry, which is now thought to be based on the solution of the Riemann conjecture; Others are more complex problems, such as the ABC conjecture.

The ABC conjecture is not very well-known, perhaps it is still in the "entry" stage in terms of public popularity, but it is by no means at the entry level in terms of difficulty and status.

Many mathematicians agree that it is as difficult as the Riemann hypothesis, and perhaps even higher.

Because its essence is to interact with the additive property of integers (e.g., A+B=C) and the multiplicative property (e.g., the concept of prime numbers, because it is defined by multiplicative properties).

The complexity of the interaction between these two very simple properties is almost infinite.

Many conjectures in number theory that are extremely simple but extremely difficult to prove, such as Goldbach's conjecture, twin prime conjecture, Fermat conjecture, etc., have the characteristic of the interaction of additive and multiplicative properties.

In addition, an important branch of number theory—the so-called Diophantine analysis, which aims to study integer solutions to algebraic equations with integer coefficients—has this characteristic throughout the branch.

If the ABC conjecture is solved, the old number theory will be given a new lease of life.

As a result, Xu Chuan never thought that his achievements in mathematics had reached the pinnacle, even if he had solved three millennial problems.

In the eyes of the world, he has stood at the top of the pyramid; But in his own eyes, he is still just a lonely boat swimming in the ocean of mathematics.

The future is too long and too far away, and no one can see the end.

After savoring the feelings in the process of solving the 'supersonic turbulence problem of blunt objects', Xu Chuan opened his eyes and breathed a long sigh of relief.

It seems that the lack of in-depth thinking and research of mathematics in the past half a year has not regressed his ability in the field of mathematics.

Even, he faintly felt that the time of the past year had further precipitation in mathematics.

A very wonderful feeling, Xu Chuan never thought that he had never thought deeply about many mathematical problems in the past year, but he could go further in mathematics.

Staring at the equation on the manuscript paper, there was a hint of unfinished interest in his eyes.

Over the course of the past year, or since completing the Yang-Mills equation, it has become clear to him that his work in the field of mathematics has not advanced much.

Whether it is taking classes at NTU or instructing four elementary school students, it is not much mathematical thinking for him.

In daily life, aside from these things related to mathematics, it is the browsing and viewing of daily papers and journals, as well as the invitation to review some mathematics journals such as "Annals of Mathematics" and "New Advances in Mathematics".

For him, these things are not a study, but more like a habit that has been fully integrated into his daily life.

But that's it, over the past year, his math ability has not deteriorated. Even, there is a faint possibility of going further.

If you want to explain this situation, the only possibility that Xu Chuan can think of is that his background has been slowly supplemented in his daily teaching and living habits in the past year.

Mathematics is a discipline that is more basic and cutting-edge logical thinking than other disciplines, and every calculation, proof, and drawing contains the process of logical reasoning.

If the foundation is not enough, even the top IQ will not solve the problem, and if the cutting-edge thinking is not enough, no matter how good the foundation is, it will also not solve the top conjecture.

This is a discipline in which logical thinking and underlying underlying theorems coexist, and it relies heavily on the coherence of the basic knowledge.

Poincaré is known as the last all-round mathematician, and no other mathematician has been awarded the title of 'all-round mathematician' since.

Because with the development of time, the system of mathematics has become more and more huge since the 20th century.

The vast majority of mathematicians, faced with a mathematical system like a sea of knowledge, can often only cut down one or two big trees to build their own lonely boat to move forward.

Scholars like Tao Zhexuan, who are proficient in most fields of mathematics, are among the few in today's mathematical world.

Not even to mention that mathematicians who are proficient in most areas of mathematics, even those who are proficient in the three branches of mathematics can be said to be rarer than wild pandas in today's mathematical world.

This is an inevitable trend with the development of mathematics, and the growth of the knowledge system of each branch and category means that more time and energy are needed to learn.

Almighty, increasingly difficult.

Xu Chuan has never pursued mathematical omnipotence, and he has never had such an idea. After all, he had always thought that his roots were physical.

But now, with the change in the choice of major in the field of study in this life, as well as those learning methods that are deeply rooted in life habits, it seems that he has gradually embarked on the road of all-round in the field of mathematics.

Especially this time the solution to the 'supersonic turbulence problem', which is as smooth as flowing water, makes him feel a little different.

It was hard for him to say what it was like, but he vaguely felt important.

If you want to say that the mathematical knowledge learned in the past seems to be more closely united after a year of precipitation?

Shaking his head, Xu Chuan put away the thoughts in his mind.

At present, the all-round mathematician is too far away from him, and he has solved three millennial problems, but it is impossible to say that he is proficient in all branches of mathematics.

Let it be.

Shaking his head, Xu Chuan refocused his attention on the manuscript paper in his hand.

Although this is only a phased achievement, it has already given him a way to solve the problem of high temperatures and thermal barriers that the shuttle faces on its return journey into the atmosphere.

Although this is only a theoretical idea at the moment, Xu Chuan believes that it will not be difficult for him to turn this theory into reality, at least for him!

After sorting out the manuscript paper on the desk, Xu Chuan typed it into the computer and printed it.

After sorting out the paper, he took this manuscript paper and quickly found Academician Chang Huaxiang, who was preparing for the manned moon landing at the Aerospace Research Institute.

"Academician Chang, I have something here that may be of some help to solve the problem of high temperatures and thermal barriers faced by the space shuttle when it returns to the atmosphere."

In the office, Xu Chuan handed over the printed materials in his hand.

Behind the desk, looking at Xu Chuan who walked in in a hurry, Chang Huaxiang just wanted to get up and say hello, and the information documents in front of him were handed to him.

Stunned to take the documents, he looked at Xu Chuan a little confused, then at the stack of documents in his hand, and subconsciously asked, "What is this?" ”

"Part of the phased results of shock cone theory and the supersonic turbulence problem, in a mathematical sense."

Xu Chuan said quickly: "Theoretically, I think it has the potential to help us solve problems such as surface high temperatures and thermal barriers on the space shuttle." ”

Hearing this, Chang Huaxiang's heart was shocked, and his pupils suddenly contracted.

What is the mathematics of the supersonic turbulence problem? Is it the world-class problem in aerodynamics?

Randomly, he quickly looked down and flipped through the documents in his hand, and on top of them was exactly what he had speculated in his mind, a paper on the problem of supersonic spoiler.

Watching Academician Chang Huaxiang begin to flip through the documents, Xu Chuan also continued to explain: "In the fifties of the last century, Professor Henry Allen of NASA once proposed a shock cone theory, confirming that the blunt head can effectively launch a wide and strong shock wave in the bow during the return deceleration of the spacecraft, and keep the wave front away from the bow and surroundings, reducing the surface temperature of the space shuttle. ”

"But the blunt head can only be partially optimized and slowed down, and these days, I've been working on how to solve this problem."

"Wouldn't the protection be better if you had actively lit a shock cone in front with a "plasma torch"?"

As he spoke, he glanced at his office and landed on a whiteboard hanging on the wall.

Walking briskly, he picked up the rag and wiped the black handwriting off the whiteboard, then picked up the marker pen in the pen basket and wrote quickly:

【||(Un+2-Un+1，φm+2-φm+1）||E〃N-1(T)≤CT||（Un+1-Um，φm+1-φm）||】

"Integrating the complete N-S equation averaged by two-digit and axisymmetric Reynolds in a finite control unit V yields Q/t·dV + R→·dσ→HdV"

The marker pen in his hand landed on the whiteboard, and a few lines of mathematical formulas soon appeared.

While doing the math, Xu Chuan explained. In the office, after staring at the equation on the blackboard, listening to Xu Chuan's explanation, and frowning for a while, Chang Huaxiang interrupted with a wry smile: "Wait, wait, stop for a while." ”

Hearing the voice, Xu Chuan stopped the marker in his hand, turned his head to look over, and asked, "What's wrong?" ”

Chang Huaxiang smiled bitterly and said: "I can't keep up with your rhythm, I basically can't understand these formulas you wrote on it now." ”

Although for an expert in the field of astronautics, mathematics is also a must-have.

After all, aerospace engineering is a highly complex technology that requires a lot of knowledge of quantity and physics so that engineers can understand and design the mechanisms of aircraft, spacecraft, and missiles, among others.

For example, when designing the aerodynamic structure of an aircraft, complex calculus and dynamical equations need to be used; And when building a space vehicle, it is also necessary to be proficient in the mathematical formulas of orbit and gravity resistance.

But aerospace is an engineering discipline that focuses on applications and does not study particularly abstract mathematical theorems and the like.

Therefore, now these calculations and formulas written by Xu Chuan on the blackboard are like heavenly books in his eyes, and he can't understand them at all!!

Hearing this, Xu Chuan was stunned for a moment, glanced at the equation on the blackboard, and then looked at Academician Chang Huaxiang standing in front of him.

Noticing Xu Chuan's gaze, the corners of Chang Huaxiang's mouth moved, and he said speechlessly: "Not everyone has mathematical ability like yours. ”

After a pause, he looked at the equation on the whiteboard and continued, "I know and have studied the shock cone theory. But you're obviously out of my research. ”

Xu Chuan was silent for a moment and said, "Then how long will it take you to figure out this paper?" ”

Hearing this, Chang Huaxiang flipped through the documents in his hand, frowned and thought for a long time, and then gave Xu Chuan a confused answer: "I don't know." ”

"Don't know?"

Xu Chuan glanced at him in surprise, a little unclear.

Chang Huaxiang said with a wry smile: "I am not a mathematician, although there are times when mathematics is needed in the field of aerospace. But do you think we use such advanced mathematical knowledge? ”

As he spoke, he raised the information document in his hand.

Although he couldn't read the proof inside, he knew the problem of the paper from the title.

A Theory of Mathematical Analysis of the Supersonic Circling Problem! 》

This is one of the most famous and important problems in aerospace and aerodynamics.

Because this problem is solved, the aerodynamics of aerospace equipment can be greatly optimized.

To put it simply, this problem has been solved, whether it is a civilian passenger plane, a military fighter jet, or even a car on the ground, high-speed rail can run faster.

Therefore, this issue has always been the focus of national research.

Not to mention others, it is himself, because of his research in the field of aerospace, he has also paid attention to and even thought about this problem.

But all along, he has never heard of a country that has made a major breakthrough in this area.

And today, the theoretical results of this thing have appeared in his hands.

Looking at the proof paper in his hand, Chang Huaxiang only felt that his mood was extremely complicated.

Quite a kind of self-exhausted. No, it should be a question that human beings have tried their best to find an answer, and suddenly one day it was directly delivered to the hands by 'aliens'.

This feeling is really special.!!