Chapter 383: A Master's Move? (1/3)

Chapter 383: A master's move? (13)

"sure……"

Looking at Professor Fefferman unexpectedly, Lu Zhou made a gesture of invitation and gave up his seat in front of the whiteboard.

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

It's time for get out of class to end, but none of those sitting in the classroom left their seats.

Including Lu Zhou, everyone was staring at the content on the whiteboard.

Gradually, watching Professor Fefferman's steps, Lu Zhou's eyes lit up slightly.

Wonderful...

This is where the math gets interesting.

A thought that doesn't work, no matter how long you walk, you can't get out of the maze.

However, a seemingly feasible train of thought doesn't even need to be close to the exit. From the moment you step on this train of thought, you can feel that victory is just ahead.

Although Fefferman has not written the last step, Lu Zhou is basically sure that his thinking is not absolutely correct, but there is a probability of at least 90% that it is feasible!

Sure enough, this big cow did not disappoint him.

Fluidly filling the remaining area of ​​the whiteboard, Professor Fefferman drew the last stroke on the position of the last line——

【Pμi:=μi-(Δ^-1)·δi·δj·μj】

There were bursts of commotion in the classroom. Although these contents are difficult for undergraduate students, this is Princeton after all, and the students sitting here are mathematics students who are at the top of the subject chain of contempt.

Unexpectedly, this step does not mean that no one understands it.

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

Taking back the marker pen printed on the whiteboard, Professor Fefferman carefully read the formula he wrote down from beginning to end, then smiled and said softly.

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

Lu Zhou coughed lightly: "So, it's just a thought question."

He originally planned to meet with the students. If it weren't for the fact that so many people were interested in his research progress, he would not have put this question on the whiteboard on a whim.

Especially what he didn't expect was that this big guy would sit in the back row of the lecture hall.

Returning his attention to the content on the whiteboard, Professor Fefferman stroked the stubble on his chin and said thoughtfully.

"Where (Δ^-1)·δi·δj is defined as the Fourier multiplier of ξiξj/|ξ|... But what I want to know is, even if you get the equation of Pμi, what's the point? I think Can't come out...can you explain it for me?"

"Of course." This is not something worth hiding, Lu Zhou smiled and said happily, "However, I need a new whiteboard."

"What Princeton lacks most is a place to write on the blackboard. I'll get one for you."

After dropping this sentence, Professor Fefferman turned and left the lecture theater without stopping, and quickly dragged a whiteboard from the next classroom.

Seeing the whiteboard that Professor Fefferman dragged for him, Lu Zhou was no longer polite, wiped off the writing on the whiteboard, picked up the marker pen again and started writing on the blackboard, and explained his steps in detail explain.

"If we get Pμi:=μi-(Δ^-1)·δi·δj·μj, we can further obtain..."

During this period of time, he has been busy with experiments. The research on the NS equation has actually only reached the step of "Pμi: =?". As for the content written on the whiteboard, it is actually derived on the spot.

This may sound difficult.

But in fact, it is very easy to do this step.

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

However, this ease is not endless...

[=-πi∫Λξ1, ξ2, ξ3 (μ(ξ1), v(ξ2), w(ξ3))...]

After writing this line of calculations on the whiteboard, the pen tip in Lu Zhou's hand suddenly stopped.

Seeing this step, Professor Fefferman's previously tightly locked eyebrows suddenly raised an arc of interest.

Lu Zhou took back the marker pen in his hand and cast a questioning look at him.

"What do you think?"

Rubbing the stubble thoughtfully with his index finger, Professor Fefferman seemed to be talking to himself.

"It seems... interesting."

Looking at the two people on the podium without blinking, the students sitting in the classroom were silent, for fear of making a little noise and interrupting the thinking of the two big guys.

In all of North America, there is probably no place where genius is more respected and knowledge is more respected than Princeton.

Five minutes had passed, the expression on Professor Fefferman's face suddenly relaxed, and he said in a relaxed tone.

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

Lu Zhou, who was staring at the whiteboard intently, nodded in agreement: "You are right."

If it had been so easy to solve, the Clay Institute wouldn't have included it in its list of seven millennium problems.

"However, it's beyond my expectation that you can do this." Smiling, Professor Fefferman said kindly, "NS equation is a very interesting problem, it is the basis of fluid mechanics, and it is also a partial differential It is a 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 will also have a profound impact on a series of related disciplines.”

Dieudonne is one of the founders of Bourbaki's school. "Mathematics is for the glory of the human mind" is exactly what he once said. Although Professor Fefferman does not agree with the viewpoint of the Bourbaki school, he quite agrees with this sentence.

Having said that, Professor Fefferman clapped his hands with a smile and clapped his hands.

"A very fulfilling class...although I may be a bit pretentious when I say this. What do you think?"

When he said the last sentence, he turned his head to look at the students in the classroom who didn't move their butts from the bench even though the get out of class had already ended.

And what responded to him was naturally applause that resounded through the classroom.

Hearing the thunderous applause, Lu Zhou smiled shyly.

Although he didn't speak, he was actually a little proud in his heart.

Compared with the serious report meeting, the sense of accomplishment brought by the classroom is a completely different experience.

It seems that even though they haven't met each other much during the semester, his students still like him very much.

"By the way, I have solved this problem." Hearing the applause in the classroom gradually subside, Professor Fefferman suddenly remembered something, pointed to the formula on the whiteboard, and said in a humorous tone, " Is your promise still valid?"

Lu Zhou froze for a moment and asked in doubt.

"promise?"

Sitting in the front row, the girl with long chestnut hair who asked him the first question raised her hand and said enthusiastically.

"Professor, you said that if anyone solves this problem, you will accept him as your doctor."

There was booing in the classroom.

Lu Zhou didn't look at the student who took the lead, coughed dryly and said, "You better stop joking."

"No, no, no, I'm not joking," Professor Fefferman laughed, "If you don't mind accepting another doctorate, I don't mind getting another doctorate from you."

Although Professor Fefferman's tone did not sound like a joke, 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". At the Institute for Advanced Study in Princeton, where geniuses are everywhere, he is the only one who would make such a joke without any regard for his status.

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

"Well, since you don't plan to accept another doctor, I hope you can grant me a request."

Lu Zhou did not promise easily, but asked, "What request?"

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

Sorry, ten minutes late