Scholar’s Advanced Technological System

"of course can……"

Looking at Professor Fefferman by accident, Lu Zhou made a call gesture, giving up the position in front of the whiteboard. bookmark our website

Picking up the marker, Professor Fefferman stared at the whiteboard for a moment, and then hesitated to write on it.

It's time to finish class, but none of the people sitting in the classroom left the seat.

Everyone, including Lu Zhou, stared intently at the content on the whiteboard.

Gradually, looking at Professor Fefferman's steps, Lu Zhou's eyes lightened slightly.

Wonderful ...

The interesting part of mathematics is here.

An idea that doesn't work, no matter how long it takes to get out of the maze.

However, an idea that seems feasible does not even need to be close to the exit. From the moment when I set foot on this idea, I can have the feeling that victory is ahead.

Although Fefferman hasn't written the last step, Lu Zhou can basically be sure. He doesn't say that he is absolutely correct, but there is at least 90% probability that it is feasible!

Sure enough, the Daniel did not let him down.

Smoothly filled the remaining area of ​​the whiteboard, Professor Fefferman drew the last stroke in the position of the last line

The classroom was filled with tumultuous sounds. Although these contents are more difficult for undergraduate students, here is Princeton after all, sitting here is a mathematics student at the top of the subject contempt chain.

Not thinking of this step does not mean that no one can understand.

Obviously, although their response was a little slower, but like Lu Zhou, they also saw the ingenuity of this idea from Professor Fefferman's steps.

Withdrawing the markers printed on the whiteboard, Professor Fefferman carefully read the formulas he wrote from beginning to end, then smiled and said softly.

"This question is not easy ... a little bit more difficult for undergraduates."

Lu Zhou coughed softly: "So, it's just a thinking question."

He originally intended to meet with the students. If not because so many people were interested in the progress of his research, he would not whim to put this question on the whiteboard.

What made him unexpected was that the big man would sit in the back row of the ladder classroom.

Turning his attention back to what was on the whiteboard, Professor Fefferman touched the scum on his chin and said thoughtfully.

"Which · δi · δj is defined as a Fourier multiplier of ξiξj / ξ2 ... But what I want to know is that even if you get the equation of Pi, what's the point? I don't see it ... it's easy for me to answer ?"

"Of course," this is not something to conceal, Lu Zhou smiled and said cheerfully, "but I need a new whiteboard."

"The last thing Princeton needs is a blackboard. I'll get you one."

Dropping this sentence, Professor Fefferman kept turning and left the stepped classroom, and soon dragged a white board from the next classroom back.

Seeing this whiteboard dragged by Professor Fefferman for himself, Lu Zhou was no longer polite, erased the writing on the whiteboard, picked up the marker again and started writing the blackboard, and made his own steps in detail Explanation.

"If we get Pi: = i- · δi · δj · j, we can use the non-divergence property to perform regular integration to further find ..."

During this time, he has been busy experimenting, and the research on the NS equation has actually only been carried out to the "Pi: =?" Step. As for the contents of the blackboard on the whiteboard, they are actually derived on the spot.

This may sound difficult.

But it's actually easy to do this.

After all, the idea is here, all he needs to do is to bring in the previously obtained conclusions, and then continue to deduce along this idea.

However, this ease is not endless ...

Writing this line of calculations on the whiteboard, the tip of Lu Zhou's hand stopped suddenly.

Seeing this step, Professor Fefferman's originally locked eyebrows suddenly evoked a radian of interest.

Lu Zhou retracted the marker in his hand and cast his eyes at him for inquiry.

"What do you think?"

Forefinger rubbed the dross thoughtfully, Professor Fefferman said to himself.

"It seems ... somewhat interesting."

Eyes blinked at the two on the podium. The students sitting in the classroom were silent, for fear of making a noise, interrupting the thinking of the two big brothers.

There is probably no place in North America that respects genius and knowledge more than Princeton.

After five minutes had passed, Professor Fefferman's expression suddenly relaxed, and he said in a relaxed tone.

"It seems that this problem is not so easy to solve."

Staring at the white boat, Lu Zhou nodded in agreement: "You're right."

If there is such a good solution, the Clay Institute will not put it on the list of the seven millennial problems.

"But you can do this step, but it is beyond my expectation." With a smile, Professor Fefferman and Yan Yuese said, "The NS equation is a very interesting problem. It is the basis of fluid mechanics and partial differential. The classic proposition in the equation. If the overall existence of its smooth solution can be solved, it will not only be for the glory of the human mind, but it will also have a profound impact on a series of related disciplines. "

Dieudonne was one of the founders of the Burbaki School. "Mathematics is for the glory of the human mind" is exactly what he once said. Although Professor Fefferman disagrees with the views of the Burbaki school, he quite agrees with this statement.

Having said that, Professor Fefferman smiled and clapped his hands, applauding.

"A very informative lesson ... though I might be bragging about that. What do you think?"

Speaking of the last sentence, he looked back at the classroom, even those students who hadn't moved the fart from the bench even after class had already ended.

And in response to him, the applause rang through the classroom.

Listening to thunderous applause, Lu Zhou smiled embarrassedly.

Although he didn't speak, he was actually a little bit proud.

Compared with a serious lecture, the sense of accomplishment brought to him by the class is a completely different experience.

It seems that even though he hasn't met much throughout the semester, his students still like him very much.

"By the way, I made this question," as the applause in the classroom subsided, Professor Fefferman suddenly remembered something, pointed to the formula on the whiteboard, and said in a humorous tone. Is your promise still useless? "

Lu Zhou froze slightly, wondering.

"committed to?"

Sitting in the front row, the girl with long maroon hair who asked him the earliest question raised her hand and said happily.

"Professor, you said that if you do this, you will accept him as your doctor."

There was a loud noise in the classroom.

Lu Zhou didn't go to see the student who was taking the lead, he coughed and said, "You're not kidding."

"No, no ~ www.wuxiaspot.com ~ I'm not kidding," Professor Fefferman laughed. "If you don't mind accepting a doctorate, I don't mind reading a doctorate here."

Although Professor Fefferman's tone didn't seem to be joking, Lu Zhou knew he must be joking.

Compared with Professor Faltings, who has left Princeton, Professor Fefferman is completely at the other extreme in terms of "arrogance". Only at the Princeton Institute of Advanced Studies who walked with genius, only he would make such a joke without hesitation.

Seeing Lu Zhou's helpless expression, Fefferman coughed slightly, stopped joking, and changed to a serious tone.

"Well, since you don't plan to accept another Ph.D., I hope you can answer my request."

Lu Zhou didn't promise easily, but asked, "What request?"

"About the existence and smoothness of the solution of the three-dimensional incompressible Navier-Stokes equation," Professor Pafferman smiled and said sincerely after a pause, "I hope to work with you to solve this problem!"