Scholar’s Advanced Technological System

Ultimately, that was not written for the crossing of the ark.

However, as an unexpected harvest, his research into the NS equation has made considerable progress.

“The Navier-Stokes equation on the Euclidean space R3 can be expressed in the form of a × tμ = △ μ + B (μ, μ), where B is a bi-linear operator on the undifferentiated vector field, μ obeys the erasability (B (μ, μ), μ) = 0..."

The tip of the pen lightly lit on the draft paper, muttering to himself on the ark, suddenly slightly stunned, then shook his head with a smile.

“When I got home, I stopped touching math. I still couldn't help myself...”

Written an annotation on the draft paper, the ark stopped the pen in its hand, stood up and stuffed the stack in the suitcase, intending to wait for Princeton to do the research.

He has a whole year to do the research.

And to accompany his parents, to accompany his family, but only now he has this time...

……

For the remainder of the year, the Ark did not worry about work anymore and concentrated on New Year's Eve.

After a half-month break, the ark felt like it was a bloody resurrection, and the whole person's spiritual appearance was radiant.

Especially his parents' meals, which made him very appetizing.

The only regret is that he can't grow meat, and even if he eats and sleeps every day, his weight hasn't changed much.

That's it, having a relaxing and happy New Year.

After the fifteenth midnight, the Ark said goodbye to his family, carried his bag, and embarked again on a journey to Princeton.

A high-speed train was taken to the provincial capital, and the ark was diverted directly to the airport.

Sitting in the terminal hall, he was brushing his neck and spraying his time on the ark, and suddenly received a text message from Sister Chen.

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

When he saw the text message, the ark laughed and poked his finger back at the screen.

[I'm boarding soon.

Ding--

Received a reply SMS shortly.

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

Ark: …?

You didn't tell me you wanted to go with me...

But by the way, when did you learn to sell?

Seeing that facial expression, the ark instantly thought the text message was Ephesian.

Fly from the provincial capital to Shanghai and then across the Pacific Ocean from Shanghai.

After more than two decades of turning, the ark finally dragged its suitcase out of Philadelphia Airport.

Parking outside the airport, his student Jericho, driving his Ford Explorer, has been waiting there for a long time.

Jericho waved excitedly when he saw the ark coming from the airport and helped him open the trunk.

“Professor, you're back at last. How was your holiday? ”

The Ark laughed and said, "Very happy. How about you? How have you been while I was gone? ”

Jericho grinned: “Well, it's good that you're not here, and it always feels like something's missing. ”

The car was started and Jericho took the canoe back to peaceful Princeton town.

The town seemed to be flowing with a magical magic that washed away the restlessness in people's minds, and the moment the ark stepped in here, it felt like everything was back on track.

I spent the whole day at home.

The next day, the Ark got up for a morning bed and after breakfast left for the Institute of Higher Studies to find Professor Feverman.

When he arrived at Professor Feverman's office, there were several doctoral students he had brought along in addition to Feverman himself.

Seeing the ark at the door, Professor Feverman stopped the pen in his hand and said with joy, "Did you have a good holiday? ”

Ark: “It's been a pleasure. I haven't had such a long vacation in a long time. ”

Professor Feverman: "Really? That might be a little busy next time. ”

The ark smiled lightly.

“It's already ready. ”

As early as the first two people established the "NS Subject Group”, a lot of progress was made on research related to the NS equation, and later the research was temporarily stalled due to the return of the Ark to receive the award.

For some time now, however, although the ark has been falling off the line and touching fish, Professor Feverman has not stopped his research and has been drilling for the problems encountered in the two previous studies.

Standing up at the desk, Professor Feverman walked up to the window and suddenly asked, “Do you smoke? ”

Ark: “No smoking, what's wrong? ”

“Nothing, not smoking is right, it's not a good thing," Professor Feverman took a cigarette out of the cigarette box, lit it with a lighter and passed it on to the ark, “but sometimes it inspires me unexpectedly. ”

Received a cigarette from Professor Feverman, and the ark pinched it with two fingers, detailing the smoke flowing from the cigarette.

The smoke on the cigarette butt swept upwards and the shaped columns gradually dissipated.

It's like a fluid with a very low tack coefficient.

Staring at the burning cigarette for a while, the ark seemed to understand something, but asked, "What do you want to tell me? ”

Professor Feverman laughed, and said with pleasure, “A lot of the time the fluid we study is like it, from an orderly hover to an unruly dissipation at the end, from the beginning, predictable to the end, completely out of control. Even when all the mathematical tools are exhausted, the evolution of this state of chaos cannot be described. ”

The ship did not speak and waited quietly for him to continue.

“For some time now, I've been thinking about the question you left behind," walked up to the blackboard, Professor Feverman laughed, picked up the chalk and wrote as he wrote, "Last time we got Pμi: = μi- (Δ ^ -1) · δi · δj · μj, after which I did more analysis and found something more interesting...”

[(B (μ, v), w > = - πi (μ) ,1 ,2 ,3 (μ (μ) ,1), v (μ) ,2), w (ι 3)) …]

This is the result of the last study that the Ark showed on the blackboard.

But Professor Feverman built on it again and did more research.

“Given a Schwartz undifferentiated vector field μ0, time interval I ⊂ [0, ∞), I continue to define a broad solution H10 for the Navier-Stokes equation as a continuous mapping μ H10df (R3) that follows the integral equation μ (t)...”

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

……

The other two doctoral students in the office looked at the formula of dense numbness on the blackboard and lowered their heads, continuing to do their own business.

The bosses discuss academic issues.

I can't provoke...

Finally, after writing the final line of formula, Feverman retracted the chalk in his hand and looked at the ark next to him.

“What do you think? ”

Staring at the blackboard for a while, the ark opened its mouth.

“Did you construct a partial differential equation similar to the NS equation? ”

“Yes,” Professor Feverman said in a relaxed tone, "constructing an abstract bi-linear operator B ', which has a similar nonlinear structure to the central Euler linear operator B of μ (t), but at the same time is distinguished from B. ”

“If we prove this stronger conclusion…”

Professor Feverman nodded with a smile: "We can prove indirectly that the original conclusion is equally valid! ”