Scholar’s Advanced Technological System

In the end, the pair of Lu Zhou did not write it.

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

“The Navier-Stokes equation on the Euclidean space R3 can be expressed as ?tμ=Δμ+B(μ, μ), where B is a double Linear operation on the non-dispersive vector field, μ obeys the elimination =0…”

The tip of the pen was lightly lit on the draft paper, and Lu Zhou, muttering to her mouth, suddenly squatted and shook her head with a smile.

“When I got back home, I stopped using mathematics, and I still couldn’t control my hand…”

After writing an annotation on the draft paper, Lu Zhou stopped the pen in her hand and stood up to stuff the stack of paper into the suitcase, intending 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 didn’t worry about the work, and concentrated on the New Year.

After resting for half a month, Lu Zhou felt like a full-blood resurrection, and 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 meat physique, 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 Yuanxiao, Lu Zhou bid farewell to his family, took up his bag and set foot on the journey to Princeton.

Taking the high-speed train to the provincial capital, Lu Zhou went directly to the airport.

Sitting in the waiting hall, Lu Zhou, who was wiping Weibo’s time, suddenly received a text message from Senior Sister Chen.

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

Seeing the text message, Lu Zhou laughed, the finger poked the screen replied.

[I will board the plane right away. 】

Ding–

I received a text message for the reply soon.

Chen Yushan: [Ah, you didn’t wait for me, how much? n?]

Lu Zhou: …?

You didn’t tell me in advance to go with you…

But when it comes to it, when does Senior Sister learn to sell it?

Seeing that text, Lu Zhou thought that this text was sent by Xiao AI.

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 the 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 Lu Zhou 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 smiled and said: “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 took Lu Zhou back to the quiet town of Princeton.

The town seems to be a magical magic that washes 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 the Fefferman Professor.

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

Seeing Lu Zhou at the door, the Fefferman Professor 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.”

Fefferman Professor: “Is it? Then there may be some busy.”

Lu Zhou is lightly laughed.

“I have already been ready.”

As early as the year ago, the two established the “NS Task Force”, and the research on the NS equation also made a lot of progress. Later, because Lu Zhou returned to China to receive the award, the research temporarily fell into stagnation.

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

Standing up from the desk, the Fefferman Professor walked up 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,” Fefferman said, taking a cigarette from the cigarette case, igniting it with a lighter, and handing it over to Lu Zhou. “But sometimes it will Bring me unexpected inspiration.”

After taking the smoke from the Fefferman Professor, Lu Zhou pinched it with two fingers 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.

Looking at the cigarette that was about to burn out, Lu Zhou faintly understood something, but still asked: “What do you want to tell me?”

Fefferman Professor laughed, and Yan Yue said: “Many times the fluid we study is like it, from the orderly hovering to the final messy divergence, from the initial predictable to the final complete loss of control. Even if it is exhausted The mathematics tool also cannot describe the evolution of this chaotic state.”

Lu Zhou didn’t talk, 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, and Fefferman Professor laughed, picked up the chalk while writing and said, “Last time we got Pμi:=μi- (Δ^-1)・δi・δj・μj, after which I conducted further analysis and found something more interesting…”

[

This is the result of the last Lu Zhou show on the blackboard.

However, based on the fact that Fefferman Professor has done it again, further research has been done.

” Given a Schwarz non-dispersive vector field μ0, time interval I? [0, ∞), I continue to define a generalized solution H10 for the Navier-Stokes equation, a continuous mapping obeying the integral equation μ(t) μ→H10df(R3)……”

[μ(t)=e^(t△)・μ0+∫e^(tt”)△B(μ(t’), μ(t”))dt”]

[…]

Two other doctoral students in the office looked at the densely packed formula on the blackboard and looked down on the other side. They continued to do their own thing.

The big men discussed academic issues.

Can not afford to offend, can afford to offend ……

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

“What do you think?”

Staring at the blackboard for a moment, Lu Zhou started talking.

“Are you constructing a partial differential equation similar to the NS equation?”

“Yes,” said Fefferman Professor, in a relaxed tone, “constructing an abstract double Linear operation B”, which has a similar nonlinear structure to the μ (t) Euler Linear operations B, but at the same time It is also different from B. ”

“If we prove that this stronger conclusion is true…”

Fefferman Professor laughed nodded: “We can indirectly prove that the original conclusion is also true!”

Three more, ask for a monthly ticket~~~~