Scholar’s Advanced Technological System

The Ark thought that it had gotten used to this feeling.

And it turned out unexpectedly that when he stood here, it was still difficult to contain the surge of hearts.

Unlike that report in Reporting Room 1 of the Princeton Institute of Advanced Studies, this time he was facing not only the mathematical world, but the mathematical world as a whole...

Standing on the reporting platform, the ark took a deep breath and calmed its heart rate.

I looked at the watch for the Nth time.

Looking at the nearer and nearer second hand, his face changed into a serious divine color, and he cheered up.

“Here we go! ”

9 o'clock sharp.

There was no need for discipline at all, and the moment the time reached a full point, the venue, which had seemed noisy as a result of the silent discussion, was quiet for a moment.

A clear line of headlines emerged in a silver and white screen in the eyes of all.

Proof of the Presence and Smooth of 3D Non-Compressible Navier-Stokes Equation Solution

Responding to the pair of sights underneath, the ark opened slowly and began the opening remarks of the briefing.

“Why do high-speed cars not self-disassemble and stationary lake water not suddenly explode? ”

“For a long time we have been plagued by obvious things, because the truth we yearn for is always in plain disguise. ”

“Even as early as the 19th century, we had summarized the equation that summarized the law of fluid motion and made it seem concise enough, yet today, the deeper mathematical and physical connotations behind our equation remain elusive. ”

“Mathematics is a rigorous discipline that involves the proposition of numbers and should not be used, perhaps or possibly, in such a way... Obscure words to describe. ”

“Returning to the initial question, why do high-speed cars not self-disassemble? Why doesn't stationary lake water suddenly explode? Is there such a mysterious singularity on an infinite timescale that our equations dissipate in a limited amount of time? ”

“Now it's time to answer that question. ”

At the end of the brief opening remarks, PPT on the screen turned to the next page.

And the debriefing, too, came to the fore.

In three seconds, the ark quickly straightened out the lines of speech in its brain. Immediately after that, he faced the entire audience and took a minute to give a brief overview of his proofing ideas.

The audience under the stage was silent.

Everyone stares at the pictures and formulas on the screen, and everyone listens carefully, unwilling to let go of any detail, unwilling to miss any moment.

[μ (t) = e ^ (t △) · μ0 + μ e ^ (t-t ') △ B (μ (t‘), μ (t ')) dt']

……

“When we give the equation a Schwartz undifferentiated vector field μ0, set the time interval I ⊂ [0, ∞), then we can continue to define a broad solution of the Navier-Stokes equation H10 as a continuous mapping that follows the integral equation μ (t), i.e. μ H10df (R3)...”

The PPT on the screen is showing while holding a canoe with a laser pen in its hand, explaining it beside it at even speeds.

There is nothing special to note in the preceding section.

Similar things can be seen in many papers on NS equations research.

This part is essential whether the abstract bi-linear operator B 'is constructed using an abstract proof method or the “L stream” method he employs.

The next part, however, is the key to the whole proof line!

He will introduce the concept of differential flux into the question of bias differential equations.

And this is at the heart of the theory of "applying topological methods to the study of bias differential equations”!

……

Beneath the stage, Xu Chen's face was thick and his pen tip was lightly lit on the notebook.

After a while, he asked Zhang Yi, sitting next to him, in a voice that only two people could hear.

“Do you understand? ”

Zhang Yan shook his head: “I don't study the differential equation much more than you do, and if you start to feel strong, I'm almost there. ”

Zhang Xiao specializes in directions similar to his mentor Zhang Shouwu Five, focusing mainly on the discourse, the Lanlandz platform, and has also studied the Dili Clay L function.

Paradigmatic equations are not his specialty, and he has only learned about NS equations because of his interest.

After all, it is not possible for everyone to be as talented as Tao Zhexuan, while proving the weak speculation of Goldbach's speculation, while studying the abstract proof of the NS equation, even taking time to finish reading the paper on the Moon...

In mathematics, it's not all gone.

But it's scarcer than a giant panda...

Looking at the formula on the screen, Xu Chenyang couldn't resist the emotion: “It's unbelievable...”

Zhang Wei: “Unbelievable what? ”

Xu Chenyang: “Mathematics, abstract algebra, generalized analysis, topology, differential geometry, biased differential equations… are there any directions he is not good at? ”

“Perhaps… algebraic geometry?” Zhang Wei's voice was full of uncertainty when he said that.

Because he had just said it, he remembered that the master of the Ark was Deligne, and Grandpa was the legendary "father of modern algebraic geometry” and “pope of mathematics” Grotendic!

The nuclear psychology of modern algebraic geometry is essentially derived from several of Grotendik's untold works.

If he doesn't know algebraic geometry, Zhang Yi will not believe it.

At best, we haven't studied that one yet, and the results are still under development...

……

On stage, the report will continue.

The ark is speaking faster and clearer and smoother.

The introduction of the L stream plays a decisive role in solving the whole proposition.

It's like an iron hammer, blowing up a gap on that indestructible maze wall.

With the arrival of this moment, the already distracted situation became instantly clear.

At the same time, the atmosphere in the venue was pushed towards high chao.

Sitting in the corner of the room, Feverman had a smile on his face, and from this moment on, he had seen the last.

Tao Zhexuan, on the other side of the venue, whispered in his mouth, "So it turns out”, his eyes flashing with excitement.

In the back row of the venue, feeling the heat of the scene atmosphere, Vera squeezed her right hand and her heart rate began to accelerate rapidly. At this moment, she is sincerely proud of her mentor...

Also sitting in the back row of the room, Faltines' otherwise tight mouth suddenly raised a slight unusual angle.

Noting the change in expression on the face of an old friend, Deligne asked casually.

“How do you feel? ”

Faltines said with no expression: "Normal. ”

“Aren't you blushing?” Deligne smiled slightly and returned the gift he had given himself earlier.

The corner of his mouth twitched, and Faltines ignored his old friend's manners, looked at his watch and stood up slowly swallowing.

Deligne: "It's almost over. Don't you see the end? ”

“That's not necessary. ”

Anyway, I understand everything.

Boring question, leave it to others to ask.

Leaving behind this sentence, Professor Faltins did not stop and walked straight through the people sitting on the aisle to the exit of the venue.

And almost as soon as Professor Fartings left the office, the whole briefing came to a close.

When the last line of formula is in the eye curtain of the entire audience, there is hardly any need for more explanation from the Ark.

Because, as the audience has seen, the final answer has been called out.

“… Combined with all of the above reasoning, the results have become apparent that a solution to the three-dimensional uncompressible Navier-Stokes equation exists and is as smooth as we expected! ”

That voice, clear and sure.

Though not bright, it carries a compelling magic.

And the source of that magic is knowledge.

Almost instantly the voice drops.

The audience rose from their seats.

The thunderous applause echoed for a long time in this large and crowded reporting hall...