Reborn Technology Scholar

Chapter 487 N-S Equation

July 15, 2021, the eve of the Tokyo Olympics and the Chinese summer vacation!

Shuimu Press, the "Shuimu Mathematics Chronicle" that is now ranked among the world's first-class professional journals, published a paper, namely "Proof of the Existence and Smoothness of the Navier-Stokes Equation"!

As soon as the paper came out, it immediately attracted the attention of the entire mathematical community around the world, and many people ordered this issue of "Shuimu Mathematics Chronicle". Many places even couldn't wait to get this issue of "Shuimu Mathematics Chronicle" and ordered the electronic version directly online!

Since Navier proposed the equations of motion for viscous fluids in 1827, he only considered the flow of incompressible fluids. In 1831, Stokes proposed the equations of motion for compressible fluids, and later in 1845 he proposed the equation that the independent viscosity coefficient is a constant.

Form. The existence and smoothness of the Navier-Stokes equation have puzzled the world for nearly 200 years!

The n-s equation is in the rectangular coordinate system, and its vector form is =-?pρfμΔv!

Although many people believe that the n-s equation reflects the basic mechanical laws of viscous fluid flow and is of great significance in fluid mechanics. However, it is a nonlinear partial differential equation, which is very difficult and complicated to solve. There are no solution ideas or techniques.

Before further development and breakthroughs, precise solutions can only be obtained for some very simple special case flow problems.

In the past nearly 200 years, countless mathematicians have been working on the n-s equation one after another, trying to prove the existence and smoothness of the n-s equation, and even find its solution, but so far they have not achieved much results.

If we talk about results, it is that in some cases, the equation can be simplified and an approximate solution can be obtained. For example, when the Reynolds number re ≥ 1, outside the boundary layer of the flowing object, the viscous force is much smaller than the inertial force, and the viscous term in the equation can be ignored, n-s

The equation is simplified to the Euler equation in ideal flow; and in the boundary layer, the n-s equation can be simplified to the boundary layer equation. Similar results are available, and even supercomputers are used to solve the value of the n-s equation, but even with calculations

Even a supercomputer with a capacity of 10 trillion cannot find an accurate solution.

"The corresponding author is actually Professor Qin. Isn't Professor Qin so perverted? He led his team to solve a millennium mathematical problem in such a short time?"

"History has turned a new page, and you and I are all witnesses of this moment!"

"As a bad student, I just want to say that the 168-page paper looks like a wordless bible. Sure enough, mathematicians are not human beings!"

"Now, nearly four years have passed, and the proof papers for Hodge's conjecture have not yet been completed. Now, a paper proving the existence and smoothness of the solution to the Navier-Stokes equation has been released. The devil is really

It’s the big devil who sees how unhappy the mathematical community is, and wants to put an extra burden on them and completely rub off their already Mediterranean heads!”

"Tsk, tsk, tsk, I can't understand the paper, but I just think it's right. Who else dares to say that our contribution to basic research is almost negligible, look at how many world-class mathematical problems we have solved?"

"..."

As soon as the paper came out, ordinary netizens would definitely not be able to understand it, but they did a good job of acting like a crowd, and there was no problem in blowing the whistle first. Anyway, the corresponding author of the paper was Qin Yuanqing, and they could choose to trust Qin Yuanqing!

In the professional mathematics forum, not long after the paper was officially published, Tao Zhexuan, who claims to be proficient in almost all mathematical directions, immediately showed his characteristics as a network expert. He opened his computer and updated his views:

"This paper adopts an unconventional research idea, using the method of differential manifolds to build a bridge between partial differential equations and topology. This research idea is so clever that it reminds me of what I saw in my early years.

The paper on the fixed point theorem written by Mr. Brouwer..."

"My sixth sense has told me that Professor Qin's proof is accurate! Of course, I am even more looking forward to Shuimu being able to hold an academic report on this paper. I have many questions to ask!"

"And now I want to ask Professor Qin, when will the solution to the n-s equation be solved!?"

With Tao Zhexuan's rhythm, this mathematics professional forum suddenly became lively, completely detonating the discussion about n-s equations.

This kind of news excitement, even the Olympic Games news that has been brewing for some time has been suppressed, and there is no way to compare it.

It's just that Qin Yuanqing didn't pay attention to this heated discussion about the n-s equation at this time. At this time, he was attending a meeting. It was a normal meeting. Qin Yuanqing was appointed as the commander-in-chief of the controllable nuclear fusion project. At the same time, he also officially resigned from Shuimu

The position of leader no longer holds any position in Mizuki, and only retains the title of Professor Mizuki.

With the appointment of Qin Yuanqing as the commander-in-chief of the controllable nuclear fusion project, it means that the controllable nuclear fusion project has been officially established. Scientific research funds of up to 100 billion yuan have arrived in a special account, and the funds are earmarked for the advancement of the controllable nuclear fusion project!

At the same time, it also means that Qin Yuanqing has huge power. In theory, he can mobilize researchers from various universities and scientific research institutions across the country.

The research and development stage of the controllable nuclear fusion project alone, according to the list listed by Qin Yuanqing, involves 218 universities, 722 scientific research institutions, and more than 50,000 scientific researchers. There are even more people with doctorate titles than ordinary staff.

This is just the research and development stage. Once it reaches the later system assembly stage, hundreds of thousands of engineers and troops will be needed. It is truly a national effort!

Not only that, but last month he was awarded the title of Commander-in-Chief of the Anti-Gravity Project and the Commander-in-Chief of the ‘Double Ring Space Station’ Project. Qin Yuanqing can be said to have many titles on his head, but the Commander-in-Chief of these three projects has the most gold and the greatest power!

Theoretically, he can mobilize the scientific research strength of the entire China. It can be said that he stomps his feet and the Chinese scientific community is shocked!

Qin Yuanqing actually did not expect that his superiors would finally agree to launch these three major projects. After all, the funds involved were so huge that it was scary to mention them.

In particular, the "Double Ring Space Station" project involves more than three trillion yuan of funds. Even if it is just the research funding for these ten years, it is hundreds of billions!

Qin Yuanqing felt the pressure. These three projects were only allowed to succeed and not fail. Once they failed, even with Huaxia's size, they would be injured and suffer heavy losses.

And once it succeeds, it can be said that China will receive huge benefits and will undergo earth-shaking changes. This change will even exceed the total development of China in the previous 40 years!

bet!

This is a huge gamble!

The winner, China will return to the top of the world and restore the prosperous age of Han and Tang Dynasties. From now on, it can set its sights on the sea of ​​stars in space. It can truly be said that it can be said that it is the tripod of Mount Tai to see all the mountains and small mountains. The theory of the end of history will come true!

Loser, Huaxia has to recuperate for at least ten years before he can regain his strength. From then on, he has changed his attitude towards these three technologies. Once bitten by a snake, he will be afraid of the rope for ten years!

Of these three technologies, controllable nuclear fusion technology will be the top priority and will determine the success or failure of anti-gravity technology and the ‘Double Ring Space Station’ project!

Without controllable nuclear fusion technology, commercial application, and anti-gravity technology, the "double-ring space station" cannot truly take shape.

It can be said that Qin Yuanqing’s main focus next is to promote the realization of controllable nuclear fusion, and anti-gravity technology, the ‘Double Ring Space Station’ is to complete the teaching of theory, experimental verification and training of talents!

"Dear comrades, the Controlled Nuclear Fusion Project General Headquarters has been formally established, which represents a new era in the world's controllable nuclear fusion research. We will work together to complete the controllable nuclear fusion project within 4 to 5 years.

For the fusion project, give me a perfect answer!" Qin Yuanqing said in a deep voice, looking at the hundreds of experts in related fields in the conference room. These are all real national talents, leaders in the nuclear field, or magnetic field research.

A leading figure, or a leading figure in the field of materials.

There are many academicians here, and the least titles are Yangtze River Scholars and National Youth!

After Qin Yuanqing mobilized, he officially announced the list he had drawn up, which was the technical person in charge of each technology and the corresponding funds!

At the same time, there are the leadership candidates for the general headquarters. These people will help Qin Yuanqing manage the funds, progress, and coordination of manpower and material resources for the entire project!

There is even a group of people who will go to the Gobi Desert and remain anonymous from then on. Even their families will not know their whereabouts. They will not be able to make phone calls or receive letters. Even if there are any major events at home, they will not be able to go home!

Looking at each and every one of them who just want to press their thumbs and abandon their small family in front of the country and family and choose the big country, they are just like their predecessors, risking their lives for the benefit of the country!

For the controllable nuclear fusion project, three quantum computers and ten supercomputers have been specially configured. It can be said that the emphasis on the controllable nuclear fusion project cannot be taken any more.

Although Qin Yuanqing himself does not need to go to the Gobi Desert, he has the heaviest burden. If he wants to solve the problem of controllable nuclear fusion, there are so many problems that need to be solved! He will give online lectures every day to answer the researchers' theories

Confused, I have to keep an eye on the overall project operation and scientific research progress.

Coupled with anti-gravity technology, this aspect requires him to personally train researchers and professors, because the entire world is completely blank in this area. Just training researchers and professors will take at least three or four years, and finally professional technology

personnel to conduct various technical verifications.

Just like the existence and smoothness of the solution to the n-s equation, Qin Yuanqing solved it early, but in order to train the team, from shallow to deep, he needs to spend a lot of time giving guidance every day.

This still has a foundation, such as anti-gravity technology, which has no foundation at all and is completely blank. It is simply a step-by-step hand-in-hand process from the time a child is born, learns to walk, and runs.

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