[Proof: Existence and smoothness of solutions to the Navier-Stokes equation]
[Task introduction: The floating clouds in the sky, the flowing rivers on the ground, the water vapor floating on the hot water, the gentle ripples on the river surface... Wherever there is fluid, there is fluid mechanics, and the analysis of fluid mechanics , exists in every corner of technological society. Now, the host has finally turned his attention to fluid mechanics, so let's use this problem as an appetizer! 】
[Task purpose: Prove the existence and smoothness of solutions to the Navier-Stokes equation. 】
Hear the system beep, then see this new task -
Li Mu:?
He just thought about it in his mind. Did God really ask him to prove this problem?
But then, he sighed helplessly.
Forget it, just prove it.
Although the tasks issued by the system often seem like they are too difficult for a person to do, they are indeed within his current ability to complete.
What's more, he hasn't forgotten the International Congress of Mathematicians next year.
Since this time, he has been thinking about what report he will give at the International Congress of Mathematicians.
But now, after the system gave him this new task, he finally had a goal.
Of course, whether he can prove this problem in the next few months is still a question.
After all, this is one of the seven major mathematical problems of the millennium.
The seven major mathematical problems of the millennium refer to the fact that in the millennium, that is, in 2000, the Clay Institute invited many well-known mathematicians from around the world. After some discussions, the current seven problems were determined. The most important question in mathematics.
And, as long as one of the problems is solved, the solver will be able to receive $1 million provided by the Clay Institute.
It is for this reason that the Seven Millennium Mathematical Puzzles are also known as the Millennium Prize Puzzles.
Although the current value of US$1 million is much lower than US$1 million in 2000, it is still enough for anyone to live a relatively comfortable life.
In addition, there is also the huge fame brought by solving the problem, which is enough to make any unknown person immediately become the most popular mathematician in the world.
Therefore, many mathematicians around the world dream of solving any of this big problem.
But obviously, it can be included in the seven major mathematical problems of the millennium. The difficulty of any one of them can be said to be the most difficult in the mathematics world. Until now, only one problem of Poincaré's conjecture has been solved, and even that In order to avoid these prestigious awards, the solver simply retired from the mathematics community.
"Let me solve this problem in nine months..."
Li Mu shook his head helplessly.
The difficulty is a bit high.
Of course, he no longer struggled with this issue.
It's a bit difficult.
However, after all, he had solved so many problems before, so it didn't make him want to give up.
You just need to work hard and put in a lot of effort like before, and you can always solve it. Although you may also need a little help from plug-ins in the middle...
Well, this little help is not enough for outsiders.
"In addition, this mission is still a reward mission..."
At this time, Li Mu also remembered what the system said. This mission was a reward mission, not an ordinary mission. Therefore, as long as you complete this mission, in addition to the energy reward, you can also get some additional rewards.
"What kind of reward will be given for proving a Millennium Problem?"
Li Mu was also quite curious about this.
But he soon put this idea behind him, and it was time to officially start studying the Navier-Stokes equation.
Returning to the study room on the second floor, the spacious study room also had an academic atmosphere after he moved in. There were various draft papers and various books placed on the large solid wood table.
Although it looks a bit messy, to Li Mu, such messiness does not affect his research.
He sat at the desk, opened his computer, and began to collect all kinds of information.
To study any problem, you need to first choose an angle and then start.
The Navier-Stokes equation is slightly special.
It can start directly from the original theory, and it can also start directly from a practical perspective.
Starting directly from the original theory, the original equation to be discussed is naturally its original equation. From a practical point of view, it is to choose an actual fluid model and start from the special to the general, which is also the most convenient.
So Li Mu quickly chose his perspective - starting from the actual fluid model.
And that fluid model is human blood vessels.
After all, he has not forgotten that his purpose is to use fluid mechanics to analyze the blood flow of human blood vessels, so as to help the medical community analyze possible vascular diseases in the human body through blood pressure and blood viscosity.
Once his idea is realized, it will significantly reduce the cost of testing for vascular diseases.
For example, generally speaking, to detect whether there is a disease in blood vessels, such as whether there is a thrombus and where the thrombus is, it often requires CT, color ultrasound, or even systemic testing. Obviously, doing these projects in any hospital requires The fees are very high.
As long as his method is successful, it only needs to measure a blood routine and then test the blood pressure to directly determine these problems, save a lot of money for the patient, and at the same time reduce the shortage of equipment in the hospital.
At least patients who go to the hospital for CT and color ultrasound will have to pay less.
So this is clearly a project that can benefit all of humanity.
If it succeeds, Li Mu will probably be lined up for the Nobel Prize in Physiology or Medicine.
Of course, compared to what awards he can win, Li Mu now only cares about whether what he wants to achieve can be successful.
"Well... let's take a look at books related to human blood vessels first. At least we need to know the distribution of blood vessels. In addition, there are various types of vascular diseases."
Sitting in front of the computer, Li Mu closed his eyes and began the first step of research, data collection——
As for why he closed his eyes, it was of course because he wanted to use the Bluetooth connection method of the brain computer to collect information directly.
There is no more convenient and efficient way to collect information in the world.
So, in just one afternoon, Li Mu went from a layman to an expert in vascular medicine.
Perhaps, now he can directly become a hematologist.
"Well... human blood vessels are indeed a bit complicated."
After Li Mu basically mastered the human blood vessel distribution map, he simulated a 3D human blood vessel model in his mind.
After thinking for a moment, he searched for blood vessel specimen pictures on the computer.
In reality, scientists will inject filler into the blood vessels of volunteers who have donated their bodies, and then use strong acids and alkalis to completely corrode other tissues. This filler will not react with strong acids and alkalis. Therefore, it can eventually be preserved to form a complete human blood vessel specimen.
Soon, Li Mu searched for such specimen pictures on the Internet.
Looking at those specimens, Li Mu would feel a sense of wonder in his heart, and then he would pay tribute to the originators of these specimens, namely the general teachers.
The process of making each such blood vessel specimen can be called cruel.
But if medicine wants to develop, it also needs such cruelty.
Just like Andreas Vesalius, who was the first to dissect the human body, the founder of anatomy. In his time, human corpses could never be destroyed, otherwise it would be a death penalty, so who could imagine it? Did you know that the first human body he dissected came from a corpse he stole?
Li Mu shook his head. Compared with other subjects such as mathematics and physics, biomedical research can be said to be the most restricted by human beings.
Ideology and morality are two intangible things that have always affected the development of biomedicine.
Of course, Li Mu doesn’t need to think about this issue for the time being.
Even to a certain extent, these two things have no impact on him, because——
"Use, level three universe real environment simulation."
Li Mu closed his eyes and gave the order in his mind.
"Please determine the experimental topic you want to conduct. The subsequent experiments will be limited to simulations within the scope of the experimental topic."
The system's voice rang.
"Fluid mechanics analysis of human blood vessels on Earth."
Li Mu said.
"It has been detected that this research direction involves specific organisms, and the experimental organisms are: humans on Earth."
Then, two human body models appeared in Li Mu's mind, one male and one female.
"Please confirm your choice." The system said again.
"confirm."
"Confirmation successful! Please select the simulation environment parameters. It is recommended to select the current environment."
"Current environment parameters."
Such experiments are naturally based on the earth's environment. Otherwise, once the gravity changes, it will also have a great impact on the flow of blood.
This is why standing upside down for too long can cause irreversible damage to the brain. This is because after standing upside down, under the influence of gravity, blood circulation will be seriously affected. Similarly, in the low gravity environment of the universe, If it goes too long, it will also lead to some diseases due to blood flow problems.
The environmental parameters were quickly determined, and the system asked again: "Please select an experimental scenario."
Afterwards, Li Mu saw several scenes recommended by the system appear in his mind.
Li Mu saw the BSL-4 laboratory among them at first glance.
"Good guy, in the fourth-level biological laboratory, I'm just going to do a blood vessel research. Is it such a luxury?"
After Li Mu complained, he made a choice in his mind very actively: "Of course it is the BSL-4 laboratory."
…
(End of chapter)
