Scholar’s Advanced Technological System

Staring at the ark, staring at him for about half a minute, Molina suddenly reached out her hand.

Looking at the hand touching his forehead, his consciousness hid under the ark.

“What do you want? ”

If you take your hand back for nothing, Molina says, “Nothing, I just want to see if you have a fever. ”

Ark: “…”

Looking seriously at the canoe, Molina continued, “Seriously, though I've never studied the differential equation, why are you making the problem so complicated? ”

The ark patted the grass on his pants and stood up.

“I also want to make it simpler, but there's no way, it's that complicated. ”

Molina also stood up and walked to the ark: "If a calculation has gone against basic common sense, then it is probable that something went wrong. ”

The Ark did not deny her claim.

“Maybe you're right, because I think so, too. However, I would like to know more about why than whether the solution to the 3D NS equation has global regularity at a particular point. ”

Paused for a moment, the ark staring at the lake continued.

“Why our equation exploded. ”

……

“Explosion” can also be called divergence in the field of computational fluid mechanics, and some authors in many foreign literature prefer to describe this headache with the term "Blow-up”.

Mathematically, it also refers to a lot of problems. For example, it may be that the process denominator of the solution is 0, and it may be that the matrix of the solution is not converging...

And for the NS equation, the so-called explosion problem, or dissipation problem, refers to a point in time and a point in space, where the fluid flow rate is getting faster and faster, and then the speed tends to be infinite, beyond the common sense in reality.

Lions et al. demonstrated half a century ago that this point does not exist in two-dimensional situations, that is, the uniqueness, regularity and stability of the overall weakness of the NS equation in two-dimensional situations. But what is the NS equation in a three-dimensional context, and academia still does not have a unified conclusion?

The prevailing view in mathematics is optimistic about the existence and smoothness of NS equations in three-dimensional situations, and people who compute the direction of hydrodynamics because of their farts. And of course the stock problem agrees with that —— otherwise, aren't those imaginary models they've built based on experimental data tantamount to explaining lies with lies?

He returned home sweating, and the ark threw his clothes into the washing machine and turned to the bathroom for a shower.

The feeling of hot water running from head to head calms him down quite a bit.

The idea of indirect proof through an abstract bi-linear operator may be problematic, rather than repeatedly interfering on uncertain issues, rather than preparing with two hands, such as trying an extra thought in a different way.

This game of challenging the peak of the human mind does not itself have any style of problem-solving.

Differential geometry was never expected to play this way with the differential equations and the Lehman geometry until Calabi's guess was resolved. After the carabinieri conjecture was resolved, geometric analysis based on the PDE method emerged.

I don't know, while solving the NS equation, it doesn't necessarily mean he can find something bigger?

When he returned to the study, he turned on his computer and began to retrieve literature on the NS equation.

After all, it is a century of difficulty that has been rewarded by the Clay Institute, and the NS equation holds a pivotal place in the field of differential equations, so scholars in the field of differential equations have done a lot of beautiful research around this equation.

Whenever research is bottlenecked, the Ark tries to find the puzzle it lacks by retrieving papers from the database.

Just as Perelman immediately applied this approach to resolving Pongalei's speculation after reading Hamilton's paper on understanding Ricci's curiosity, he was looking for something similar.

However…

It's obviously not that simple to find this puzzle.

Evening summer outside the window has been covered with stars, and the clock clock on the wall has passed 12 o'clock and begins to shift towards 1 o'clock.

With a long breath, the ark leaned against the chair and pinched a somewhat sour brow.

The fluttering thoughts in his mind, like almost solidified ink for a moment, later turned into scattered cigarette columns, causing headaches.

Yet it was also in this insight that suddenly a glimmer of enlightenment appeared in the heart of the ark.

“If you don't have the tools, why don't you build one yourself...”

If each molecule is abstracted into a single point and a collection of these points is to be accommodated, abstracted into a space with localized Euclidean spatial properties, he can construct an approximate three-dimensional flow form based on this, and put the topological approach in…

This appears to have made the "simple” issue more “complex”.

But it seems…

Is it gonna work?

Your eyes are getting brighter.

Grasping a hint of inspiration in the underworld, the ark quickly grabbed the ballpoint pen and wrote a line on the paper.

LU Fluid

Then, the pen in his hand couldn't stop...

……

Time always passes quickly when you are immersed in a job.

In a blink of an eye, it's April.

Over the course of more than a month, he locked himself up in an ark in the house, where he also spent a brief and monotonous spring break.

During this time, apart from Vera coming to his house once and sending him a teaching report for this period, the ark almost cut off communication with the outside world.

And in fact, even though he sent those things to Vera, he left them in the corner of the study after they arrived, barely turning them over.

In Princeton, Professor Lu's unique approach to drilling problems can almost be considered an interesting story, and even undergraduate students who are shortly after school have heard it from the elderly.

Perhaps knowing that his research had entered a critical period, Professor Feverman had not disturbed him with care, but had suspended regular exchange meetings and begun separate, simultaneous independent studies.

And now, these efforts have finally borne fruit.

Stopped the pen in his hand and looked at the stack of draft paper in front of him. The corner of the canoe's mouth snapped a smile.

The tight string in my brain finally relaxed on the ark, and I started to think of things that didn't matter.

For example, is the name LU Streamline a bit ugly?

How about LZ or LuZhu?

Thinking about it, the Ark thinks it's better not to embarrass future generations of candidates.

The former seemed susceptible to strange ambiguity, and the latter did not read well.

“The Chinese name is Lu Stream. The English translation name is L Stream, short for L Stream! ”

Much more satisfied with the name, the Ark changed the title of the manuscript and stacked it in the corner of the table, ready to sort it out on the computer one by one.

Just as he turned on his computer and was about to start the job, the workbar in the lower right corner of the screen suddenly popped up with a series of bubbles.

Xiao Ai: [Master, there is a new email! (๑ • ㅂ •)✧]

Seeing this message, the Ark tapped the link Em threw at it and logged in to the email address.

The e-mail came from the Mathematics Yearbook.

As for the content, it's naturally the paper about Horn Valley speculation.

I looked at the mail from the beginning and a smile appeared on the face of the ark again.

Though unexpected, he was heartily pleased with his students after seeing this email.

In accordance with the decision of the editorial department of the Journal of Mathematics, their papers will be published in the most recent issue of the journal and will be tested by the entire mathematical community…