Scholar’s Advanced Technological System

In the end, the pair of cross-border Lu Zhou did not write. Fiction.

However, as a windfall, his research on the ns equation has made great progress.

"The navier-stokes equation on the Euclidean space can be expressed as a form of t = △ + b(,), where b is a bilinear operator on the vector field without scatter, obeying the elimination

The tip of the pen was lightly lit on the draft paper, and Lu Zhou, who muttered to his mouth, suddenly squatted slightly, then smiled and shook his head.

"When I got home, I stopped using mathematics, and I still couldn’t control my hand..."

The note was written on the draft paper. Lu Zhou stopped the pen in his hand and stood up to stuff the stack of paper into the suitcase. He planned to wait for Princeton to do the research.

He still has a whole year to do research.

And accompanying the parents, accompanying the family, but only now he has this time...

......

During the rest of the time, Lu Zhou did not worry about the work, and concentrated on the New Year.

After resting for half a month, Lu Zhou felt like a full-blood resurrection. The whole person’s spiritual outlook was radiant.

Especially the meals made by parents make his appetite wide open.

The only regret is that he can't grow the body of meat. Even if he eats and sleeps every day, his weight has not changed.

In this way, I had a relaxed and happy New Year.

After the fifteenth Yuan Dynasty, Lu Zhou bid farewell to his family, took up his bag and set foot on the journey to Princeton.

Take the high-speed rail to the provincial capital, Lu Zhou directly transferred to the subway to the airport.

Sitting in the waiting hall, Lu Zhou, who was brushing his neck and passing the time, suddenly received a text message from Chen Xuejie.

Chen Yushan: [School, when are you going back to school? 】

When I saw the text message, Lu Zhou smiled and fingered the screen back.

[I will board the plane right away. 】

I received a text message for the reply soon.

Chen Yushan: [Ah, you didn’t wait for me, it’s too much]

Lu Zhou: ...?

You didn't tell me in advance to go with you...

But when it comes to it, when the school sister learns to sell it.

Seeing that Yan text, Lu Zhou thought that this text message was Xiao Aifa.

Fly from the provincial capital to Shanghai, and then fly over the Pacific Ocean from Shanghai.

After more than 20 hours of swaying, Lu Zhou finally dragged his suitcase and walked out of Philadelphia Airport.

Outside the airport, his student Jericho drove his Ford Explorer and had been waiting there for a long time.

Seeing the boat coming from the airport, Jericho waved his hand in excitement and helped him open the trunk.

"Professor, you are finally back, how is this holiday?"

Lu Zhou said with a smile: "Very happy, what about you? Are you still okay during my absence?"

Jericho grinned: "It’s so good, you are not there, you always feel something less."

Launched the car, Jericho returned to the quiet town of Princeton with a boat.

This town seems to be a magical magic that can wash away the impetuousness of the human heart. When Lu Zhou stepped into it, he felt that everything was back on track.

Rested at home for a day.

The next day, Lu Zhou got a bed, and after breakfast, he left for the Institute of Advanced Studies and found Professor Fefferman.

When he arrived at Professor Fefferman's office, in addition to Fefferman himself, there were several doctoral students he brought with him.

Seeing the Lu Zhou appearing at the door, Professor Fefferman stopped the pen in his hand and said with a cheerful voice: "Is the holiday a pleasant day?"

Lu Zhou: "It's very pleasant. I haven't let go of such a long vacation for a long time."

Professor Fefferman: "Yes? Then there may be some busy next."

Lu Zhou smiled lightly.

"I have already been ready."

As early as the year ago, the two people set up the "ns research group", and the research on the ns equation also made a lot of progress. Later, because of the return of the boat to the country, the research temporarily fell into stagnation.

However, since this time, although Lu Zhou has been disconnected from the fish, Professor Fefferman has not stopped researching, and has been studying the problems encountered in the previous studies of the two.

Standing up from the desk, Professor Fefferman walked over to the window and suddenly asked abruptly: "Do you smoke?"

Lu Zhou: "No, what?"

"Nothing, it’s not right to smoke, it’s not a good thing," Professor Fefferman took a cigarette from the cigarette case, lit it with a lighter, and handed it over to the boat. "However, sometimes it will Bring me unexpected inspiration."

After taking the smoke from Professor Fefferman, Lu Zhou pinched with **** and looked at the smoke from the cigarette.

The smoke on the cigarette butts is rising upwards, and the type of plume is gradually diverging.

It is like a fluid with a very low viscosity coefficient.

Staring at the burning cigarette, I looked at it for a while. Lu Zhou vaguely understood something, but still asked: "What do you want to tell me?"

Professor Fefferman smiled and said with joy: "Many times the fluid we study is like it, from an orderly hover to a final messy divergence, from the initial predictability to the eventual loss of control. Even if it is exhausted. All mathematical tools cannot describe the evolution of this chaotic state."

Lu Zhou did not speak, waiting quietly for him to continue.

"Since this time, I have been thinking about the question you left behind," walked to the side of the blackboard. Professor Fefferman smiled and picked up the chalk while writing and said, "Last time we got pi:= I-(Δ^-1)δiδjj, after which I conducted a further analysis and found something more interesting..."

[

This is the result of the last research on the blackboard displayed by Lu Zhou.

However, Professor Fefferman made further research on the basis of it.

" Given a Schwarz-free divergence vector field 0, time interval i [0, ∞), I continue to define a generalized solution h10 for the navier-stokes equation, a continuous mapping obeying the integral equation (t) → h10df ()......"

[(t)=e^(t△)0+∫e^(t-t\')△b((t‘),(t\'))dt\']

[...]

Two other doctoral students in the office looked at the densely-conceived formula on the blackboard, and they suddenly lowered their heads and continued to do their own things.

The big men discussed academic issues.

I can't afford it, I can't afford it...

Finally finished the last line of calculations, Fefferman took back the chalk in his hand and looked at the side boat.

"What do you think?"

Staring at the blackboard and staring for a while, Lu Zhou began.

“You constructed a partial differential equation similar to the ns equation?”

“Yes,” Professor Fefferman said in a relaxed tone, “constructing an abstract bilinear operator b\', which has similarities to the (e) Euler linear operator b. Linear structure, but at the same time it is different from b."

"If we prove that this stronger conclusion is true..."

Professor Fefferman nodded with a smile: "We can indirectly prove that the original conclusion is also true!"