Reborn Tech Scholar

Chapter 486 NS Equations
July 2021, 7, the eve of the Tokyo Olympics, during the Chinese summer vacation!

Shuimu Publishing House, "Shuimu Mathematics Chronicle", which is now ranked among the world's top professional journals, has published a paper, "Relevant Proofs on the Existence and Smoothness of the Navier-Stokes Equations"!
As soon as the paper came out, it immediately attracted the attention of the world's mathematics community, who ordered this issue of "Shuimu Mathematics Chronicle", and even many places couldn't wait to get this issue of "Shuimu Mathematics Chronicle", and ordered the electronic version directly online!
Since 1827, Navier proposed the motion equation of viscous fluid, only considering the flow of incompressible fluid.In 1831, Stokes proposed the equation of motion for compressible fluids, and later in 1845, he proposed a form in which the independent viscosity coefficient was a constant.The existence and smoothness of Navier-Stokes equations have troubled the world for nearly 200 years!
The NS equation is in the Cartesian coordinate system, and its vector form is =-p+ρF+μΔv!

Although many people believe that the NS equation reflects the basic mechanical laws of viscous fluid flow, it is of great significance in fluid mechanics.However, it is a nonlinear partial differential equation, which is very difficult and complicated to solve. Its exact solution can only be obtained on some very simple special case flow problems before the solution ideas or technologies are further developed and broken through.

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

If we talk about the result, it is that in some cases, the equation can be simplified to obtain an approximate solution.For example, when the Reynolds number Re≥1, the viscous force is much smaller than the inertial force outside the boundary layer of the flow object, the viscous term in the equation can be ignored, and the NS equation is simplified to the Euler equation in ideal flow; while in the boundary layer, the NS equation It can also be simplified to the boundary layer equation.There are similar results, and there are even supercomputers used to solve the value of the NS equation, but even a supercomputer with a calculation capacity of 10 trillion cannot find its exact solution.

"The corresponding author turned out to be Professor Qin. Professor Qin is too perverted. In such a short period of time, he led the team to solve a millennial math problem?"

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

"As a scumbag, I just want to say that the 168-page thesis looks like a wordless book. Sure enough, mathematicians are not human!"

"Up to now, it has been nearly four years, and the proof papers of Hodge's conjecture have not yet completed the proof work. Now they are throwing out the proof papers on the existence and smoothness of the solution of the Navier-Stokes equation. What is more important is the Great Demon King, he sees how unhappy the mathematics world is, and wants to add more burdens to them, and completely wipe them out, they are already the leaders of the Mediterranean Sea!"

"Tsk tsk tsk, I don'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 definitely couldn't understand it, but they did a good job of being a melon-eating crowd. It would be no problem to brag about it first. Anyway, the corresponding author of the paper is Qin Yuanqing. For Qin Yuanqing, they can choose to trust him!

In the professional mathematics forum, not long after the paper was officially published, Tao Zhexuan, who claimed to be proficient in almost all areas of mathematics, immediately showed his characteristics as an Internet expert. He turned on his computer and updated his views:
"This paper adopts an unconventional research idea, using the differential manifold method to build a bridge between partial differential equations and topology. This research idea is so ingenious that it reminds me of my early years. Brower's previous paper on the fixed point theorem."

"My sixth sense has already told me that Professor Qin's proof is accurate! Of course, I am even more looking forward to it. Mizuki will be 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 of the NS equation be solved!?"

With Tao Zhexuan's rhythm, this mathematics professional forum suddenly became lively, and the discussion on the NS equation was completely detonated.

This kind of lively news, even the Olympic Games news that has been brewing for a while, 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 NS equation at all. At this time, he was attending a meeting, which was a normal meeting. Qin Yuanqing was appointed as the commander-in-chief of the controllable nuclear fusion project, and he also officially resigned The head of the position 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 formally established, and up to 1000 billion yuan of scientific research funding has arrived in a special account, which is dedicated to the advancement of the controllable nuclear fusion project!

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

In the research and development stage of the controllable nuclear fusion project alone, according to the list made by Qin Yuanqing, 218 universities and 722 scientific research institutions were involved, with more than 5 scientific researchers, and even more people with doctorate titles than ordinary staff.

This is only the research and development stage. Once it reaches the later stage of system assembly, hundreds of thousands of engineers and troops need to be mobilized. It is really the power of the whole country!

Not only that, but last month he was awarded the commander-in-chief of the anti-gravity project and the commander-in-chief of the 'Shuanghuan Space Station' project. Qin Yuanqing can be said to have many titles on his head, and the commander-in-chief of these three projects has the most gold content and the greatest power!
Theoretically, he can mobilize the scientific research power of the entire China, and it can be said that the Chinese scientific community will be shocked!
Qin Yuanqing actually did not expect that the superiors finally agreed to launch these three major projects. After all, the funds involved in them are too huge, so huge that people feel scary when they talk about it.

In particular, the "Shuanghuan Space Station" project involved more than [-] trillion yuan in funds, even if it was just the research funds for the past ten years, it would be hundreds of billions of dollars!

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

And once it succeeds, it can be said that Huaxia will gain huge benefits and undergo earth-shaking changes, which will even exceed the sum of China's development in the first 40 years!

bet!
This is a shocking gamble!
The winner, Huaxia will return to the top of the world and restore the prosperity of the Han and Tang Dynasties. From now on, you can turn your attention to the sea of ​​stars in space. It can really be said that you can climb the top of Mount Tai to see all the small mountains, and the conclusion of history will come true!

For the loser, Huaxia will have to recuperate for at least ten years before he can regain his vitality. From then on, his face will change when he hears about these three technologies.
Among these three technologies, the controllable nuclear fusion technology will be the most important, and will determine the success or failure of the anti-gravity technology and the 'Double Ring Space Station' project!

Without controllable nuclear fusion technology coming out and realizing commercial applications, anti-gravity technology and the 'dual-ring space station' cannot really take shape.

It can be said that Qin Yuanqing's main energy will be to promote the real realization of controllable nuclear fusion, while the anti-gravity technology and the 'Double Ring Space Station' will be to complete the theoretical teaching, experimental verification and training of talents!
"Dear comrades, the headquarters of the controllable nuclear fusion project has been formally established, which represents a new era for the research of controllable nuclear fusion in the world. We will work together to complete the controllable nuclear fusion project within 4 to 5 years." Fusion project, hand in a perfect answer sheet!" Qin Yuanqing said in a deep voice, looking at hundreds of experts in related fields in the conference room, these are real national talents, or leaders in the nuclear field, or magnetic field research A leader in the industry, or a leader in the field of materials.

Here, academicians abound, and the titles are at least Changjiang Scholars and National Youth!
After Qin Yuanqing mobilized, he officially announced the list he had drawn up. It was the technical person in charge of each technology and the corresponding funds!
At the same time, they are candidates for the leadership of the general headquarters. These people will help Qin Yuanqing manage the funds, progress, and coordination of manpower and material resources of the entire project!

There are even a group of people who will go to the Gobi Desert and hide their names from now on. Even their family members will not know their whereabouts, they will not be able to make calls, they will not receive letters, and even if there is any important event at home, they will not know and cannot go home!

Looking at each of them willing to press their thumbs, in front of the country and the family, they abandoned the small family and chose the country as a big family. Like their predecessors, they sacrificed their lives for the benefit of the country!
For the controllable nuclear fusion project, three quantum computers and ten supercomputers are specially configured. It can be said that the emphasis on the controllable nuclear fusion project can no longer be paid more attention to.

Although Qin Yuanqing himself does not need to go to the Gobi desert, he has the heaviest burden on him. If he wants to solve the controllable nuclear fusion, there are so many problems that need to be solved!He will give online lectures every day, answer the theoretical confusion of researchers, and have to keep an eye on the overall project operation and scientific research progress.

Coupled with anti-gravity technology, he needs to personally train researchers and professors in this area, because the whole world is blank in this area. Just training researchers and professors will take at least three or four years, and finally professional skills personnel to carry out various technical verifications.

Just like the existence and smoothness of the solution of the NS equation, Qin Yuan solved it early in the morning, but in order to train the team, from the simple to the deep, it takes a lot of effort to give advice every day.

This still has a foundation, such as anti-gravity technology, which has no foundation at all and is blank. It is simply a child's hand-in-hand from birth, learning to walk, and running.

(End of this chapter)