Scholar’s Advanced Technological System

Chapter 376 Phase Outcomes of NS Equations (3/3)

After coming to Princeton, the ship suddenly discovered that liver explosion seemed like a rare and routine thing for itself.

Although Deligne has always criticized him for joking about his health, the fact is that even if the Ark hadn't done it deliberately, his desire to solve the problem would have prompted him to do so.

Every time he remembers his old high school life,

When I encounter a mathematical problem that I can't solve, I always feel like a creep in my heart. If I can't solve it, I don't even have the incentive to go to the dining room to eat.

In essence, does this desire for unknown exploration seem the same?

The paper was finally completed as the tail slipped away in October.

Looking at the pile of paper on the table, the corner of the canoe's mouth raised a comforting smile.

The long-running return to pure mathematical research is something he misses.

Turn on the computer, the ark starts editing the document, typing its work over time into the computer.

Overall Existence Study on Smooth Solution of 3D Non-Compressible Navier-Stokes Equations at Specific Initial Values

After knocking down a line of headings, the Ark began to edit the full summary, describing the work over time in a general way.

Briefly, by setting an initial value of α that meets a specific condition, he demonstrated the overall existence of smooth solution of the three-dimensional uncompressible Navier-Stokes equation under "α scenario" and satisfied smoothness under some specific conditions.

Previously, however, the overall existential study of the smoothing of the three-dimensional uncompressible Navier-Stokes equation advanced only to the step of "Presence of the overall smoothing of the NS equation under the assumption that a given initial value has an appropriately small number of models or an appropriately small area of fluid motion”.

As for the overall existence of the smooth NS equation when the initial value is infinitely smooth and has a tight set, it remains a mystery today.

In common language, the work done by the Ark is a further step forward in solving the Seven Millennial Difficulties.

It's also interesting to say that at first, the Ark didn't rush to solve this millennium dilemma, it just set a stage goal based on Mr. Qiu's suggestion to sharpen the theoretical tools to solve the problem while moving towards this goal.

Now that the theoretical tools have been created, the result is not only to create theoretical tools, but also to inadvertently insert Willow into the shade of the NS equation, to achieve a gradual result.

And because of the big proposition about the Millennium Difficulty, the research is not insignificant.

At this time, however, the ark was in some trouble.

Is this in a physics journal or a mathematics journal?

This is a question worth thinking about.

Purely theoretical research, can't it still be published in Science, Nature?

……

The next day, carrying a laptop, the Ark went to an office at the Institute of Advanced Studies.

The laptop was placed on the table and opened, and the ark looked at Wei Wen sitting on the side of the office.

“Wei Wen. ”

“What is it?” pushed his glasses. Wei Wen, who was brushing his literature to compensate for the knowledge of differential equations, raised his head and threw his questioning gaze at the ark.

The ark waved: "Take a look at this paper. ”

With a belly full of doubt, Wei Wen stopped the pen in his hand and rose to the side of the ark, looking at the paper on the screen.

As a result, it was unresponsive for a long time.

Wei Wen: "…”

Seeing him unresponsive for half a day, the ark hurried: “Just a rough look is enough, give me a review? ”

“I...” Wei Wen opened his mouth and lowered his head heavily, “I don't understand. ”

The ark stunned slightly and coughed softly: “Nothing, you simply give an opinion. Do you think it would be more appropriate to publish a mathematics journal or a physics journal? ”

Wei Wen was silent for a while and gave an answer.

“… then let's do math. ”

Ark: “Reason? ”

Wei Wen immediately said: "The length of the calculation is more than the length of the discussion. ”

Ark: “…”

That's quite straightforward.

……

Does that make sense?

Mathematical journals are relative to physical journals in terms of difficulty in reviewing manuscripts.

The Ark thought about it and eventually thought it would be more appropriate to publish it in a mathematics journal.

As for which journal to choose...

In accordance with the principle that fertile water does not flow out of people's fields, as Professor Pu's ark, it is naturally distributed in the Pu University journal.

Speaking of which, since he became a professor here, he hasn't posted in the Yearbook of Mathematics for quite some time.

The paper was posted in an email, and the paper was sent to the editorial address of the Yearbook of Mathematics via an internal submission channel.

Once the submission was complete, he turned off his laptop and went to the Princeton Plasma Physics Laboratory (PPPL).

Theoretical preparations are almost complete, and what the Ark needs to do now is experimental problems.

……

Situated on the corner of Princeton, this contemporary, minimalist building surrounds the lawn and looks less than the campus that inherited Oxford's legacy.

In the field of controlled nuclear fusion, however, no one can ignore its influence.

If Lehman Spitzer is providing a theoretical blueprint for controllable nuclear fusion, it's the lab's research team that turned this theoretical blueprint into an engineering drawing.

Since the beginning of the century, ITER's International Cooperation Organization (ITER) was established to establish a research framework for national scientific institutions on controllable nuclear fusion technologies, and PPPL has been working closely with the German Map Society on the study of star imitators.

Spiral 7-X, the world's largest controllable nuclear fusion device, is a technical service provided by PPPL, while PPPL maintains close cooperation with several of the world's leading controllable fusion research units.

Many may not believe that, in addition to controllable nuclear fusion foundations, scholars here seem to have been dissatisfied with the constraints of deuterium, tritium plasma, and even research on xenon plasma accelerators.

If it's hard to understand, imagine the feathers of the Hall effect thrusters ejected from the spacecraft in science fiction movies, and you can probably see what black technology is.

Because of prior appointments, the Ark was in the Institute's lounge and soon met with Professor Sam Razelson, who was in charge here.

After listening to the Ark, Professor Razelson laughed.

“Are you going to design an experimental instrument to observe high temperature pressure plasma? ”

“Yes.” No denial, the ark nodded.

Professor Razelson smiled and looked at him and said, "This is different from mathematics, not that it can be made. ”

“I know,” the ark shrugged, "I just wanted to consult on some technical matters. ”

Razorson did not speak, but merely indicated with his eyes that the Ark would continue to speak.

It can be seen that he did not take the message of the “layman” of the ark seriously.

After all, if this thing really worked out so well, it wouldn't be dragging on now.

However, the ship was not concerned about the derogatory attitude of the plasma expert and continued.

“Can I make the assumption that two ports are set on the plasma orbit, that one irrelevant particle is delivered to the deuterium and tritium plasma through port A, and that the particles are recovered through port B… I wonder if, in theory, this design can be achieved? ”

Professor Razelson touched his chin and asked, "That sounds... interesting, but what's the point? ”

“It is difficult to directly observe the plasma at high temperatures, but I think it is mathematically feasible to analyze its motion trajectory in the plasma by collision data on the particle, waveform changes. ”

Slightly frowned, Professor Razelson's face converged with a slight expression of contempt.

Gradually, his expression became more serious and seemed to reflect on the possibility of this idea.

After a long time, Professor Razelson opened his mouth.

“Normal particles, I'm afraid not! ”

“You're right," the ark nodded with a smile at the corner of its mouth, "its quality must be similar to that of tritium or deuterium and distinguished from the reactants and products in the DT reaction system, while facilitating observation and recovery...”

“And most importantly, it must be stable enough! ”