[Proof: Existence and smoothness of the solution of the Neville-Stokes equation]

【任务介绍：天上飘动的云彩，地上流动的江河，热水上飘起来的水蒸气，河面轻轻泛起的涟漪…… 凡有流体所在的地方，皆有流体力学，而对流体力学的分析，存在于科技社会的每一个角落。 And now, the host has finally set its sights on fluid mechanics, so let's use this question as an appetizer first! 】

[Objective: To prove the existence and smoothness of the solution of the Neville-Stokes equation.] 】

Hear the sound of the system, and then see this new task -

Li Mu: ?

He was just thinking about it in his heart, why did God really let him prove it?

But then, he sighed helplessly.

Forget it, prove it.

系统颁发的任务虽然往往都看起来像是在强人所难，但也确实都是他当下能力范围内所能够完成的。

What's more, he hasn't forgotten next year's International Congress of Mathematicians.

For some time, he has been thinking about what he will give a presentation on the occasion of the International Congress of Mathematicians.

And now, after the system gave him this new task, he finally has a goal.

Of course, it remains to be seen whether he will be able to prove this problem in the next few months.

After all, this is one of the seven math puzzles of the millennium.

The Seven Mathematical Problems of the Millennium, which refers to the fact that in the millennium, that is, in 2000, the Clay Institute invited many well-known mathematicians from all over the world, and after some discussion, identified the seven most important problems for the mathematical community.

And, if one of the problems is solved, the solver will receive $1 million from the Clay Institute.

For this reason, the Seven Millennium Math Problems are also known as the Millennium Prize Problems.

Although $1 million is worth a lot less than $1 million in 2000, it is enough for anyone to live a relatively comfortable life.

In addition, there is a huge fame that comes with solving problems, enough to make any little-known person instantly become the world's hottest mathematician.

Therefore, many mathematicians around the world dream of solving any of these big problems.

But obviously, any one of the seven major mathematical problems of the millennium is the most difficult in the mathematical world, and until now, only Poincaré conjecture has solved one problem, and even the solver has retired from the mathematical community in order to avoid these prestigious awards.

"Let me solve such a problem in nine months......"

Li Mu shook his head helplessly.

It's a bit difficult.

Of course, he didn't bother with this question anymore.

It's a little harder.

However, after all, he had solved so many problems before, but it didn't make him feel uneasy.

You just need to work hard as before, and you can always solve it with a lot of effort, although you also need a little help from the plug-in......

Well, this little help is not enough for outsiders.

"In addition, this mission is still a reward mission......

这个时候，李牧也想起了系统所说的，这次的任务是奖励任务，并不是普通的任务，所以，只要完成了这个任务之后，除了能量值奖励之外，还能够得到一些额外的奖励。

"What kind of reward will be given for proving a millennial problem?"

In this regard, Li Mu was also quite curious.

But he soon put the idea behind him, and it was time to start working on the Neville-Stokes equation in earnest.

回到了2楼的书房中，宽阔的书房，在他住进来后，也变得有了一种学术的气息，实木大桌子上摆放了各种的草稿纸，以及各种的书籍。

Although it seems a little messy, for Li Mu, such messiness does not affect his research.

Sitting at his desk, he turned on his computer and began to gather all kinds of information.

To study any problem, you need to choose an angle and then start with it.

The Neville-Stokes equation, on the other hand, is a little more special.

It can start directly from the original theory, but also directly from the practical point of view.

Starting directly from the original theory, the nature to be discussed is its original equation, and from a practical point of view, it is also the most convenient to choose an actual fluid model and start from the special to the general.

So Li Mu quickly chose his perspective - starting from the actual fluid model.

And that fluid model is the human blood vessels.

毕竟他可没有忘记，自己的目的，是要利用流体力学对人体血管的血液流动进行分析，以此来帮助医学界能够通过血压以及血液的粘稠度，来分析人体内可能存在的血管疾病。

Once his idea is realized, it will be able to dramatically reduce the cost of testing for vascular diseases.

For example, in general, to detect whether there is a disease in the blood vessels, such as whether there is a blood clot and where the location of the blood clot is, it is often necessary to do CT, color ultrasound, and even systemic testing, and obviously, the cost of doing these items in any hospital is very high.

As long as his method is successful, then only a blood routine test is needed, and then the blood pressure can be measured, which can directly determine these problems, save a lot of costs for patients, and also reduce the shortage of equipment in the hospital.

At least the number of patients who go to the hospital for CT and color ultrasound will be reduced.

Therefore, it is clear that this is a project that can benefit all of humanity.

If it can be successful, probably the Nobel Prize in physiology or medicine will have to be given to Li Mu.

Of course, compared to what awards he can win, Li Mu only cares about whether he can succeed in his heart.

"Hmm...... Let's take a look at the books related to human blood vessels, at least we must first know the distribution of blood vessels, in addition to various vascular diseases. ”

Li Mu, who was sitting in front of the computer, 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 mind computer to collect information directly from the mind computer.

There is no more convenient and efficient way to gather information than this.

So, in just one afternoon, Li Mu went from a layman to a vascular medicine expert.

Perhaps, now he can directly become a hematology doctor.

"Hmm...... Human blood vessels are indeed a bit complicated. ”

When Li Mu basically mastered the distribution map of human blood vessels, he simulated a 3D model of human blood vessels in his mind.

After thinking for a moment, he searched for a blood vessel specimen diagram on his computer.

在现实中，科学家会通过向捐献了遗体的志愿者，身体血管中注入填充剂，然后再用强酸强碱将其他组织给完全腐蚀掉，而这种填充性不会与强酸强碱发生反应，所以最终就能得以保留下来，从而形成完整的人体血管标本。

Soon, Li Mu searched for such a specimen map on the Internet.

Looking at those specimens, Li Mu also felt a burst of amazement in his heart, and then paid tribute to the source of these specimens, that is, those general teachers.

The process of making every such blood vessel specimen can be called cruel.

But if medicine wants to develop, it needs such cruelty.

Just like Andreas Vesali, the first person to dissect the human body, the ancestor of anatomy, in his time, the human corpse must not be destroyed, otherwise it would be a capital crime, so who would have imagined that the first human body he dissected came from a corpse he stole?

Li Mu shook his head, compared with other disciplines such as mathematics and physics, biomedical research can be said to be the most restricted by human beings themselves.

Ideas and morality are two intangible things that have always influenced the development of biomedicine.

Of course, on this issue, Li Mu doesn't have to think about it for the time being

And even to some extent, these two things didn't have much effect on him, because-

“使用，三级宇宙真实环境模拟。”

Li Mu closed his eyes and gave an order in his mind.

"Please decide on the topic of the experiment you want to perform, and the next experiments will be limited to simulation within the scope of that topic of the experiment."

The sound of the system rang out.

“地球人类血管的流体力学分析。”

Li Mu said.

"It has been detected that the research direction of this study involves specific organisms, and the experimental organisms are: earth humans."

Then, in Li Mu's mind, two human body models appeared, a man and a woman.

"Please confirm your choice." Again, the system said.

"Confirm."

“确认成功！ Please select the Simulated Environment parameter, which is recommended. ”

Current Environmental Parameters.

Such experiments are naturally based on the earth's environment, otherwise any change in gravity would have a great impact on the flow of blood.

This is also why a person will be irreversibly damaged to the brain after a handstand for too long, that is, after a handstand, under the influence of gravity, it will seriously affect the circulation of blood.

It was also quickly determined that the environmental parameters were determined, and the system asked again: "Please select the experimental scene." ”

Subsequently, Li Mu saw several scenarios recommended by the system appear in his mind.

Li Mu saw the BSL-4 laboratory at first sight.

"Good guy, in the fourth-level biology laboratory, I will do a vascular research, is it so extravagant?"

After Li Mu complained, he took the initiative to make a choice in his heart: "Of course, it is the BSL-4 laboratory." ”

……

(End of chapter)