Chapter 382 The Last Number Theory Class Before Christmas

After the $10 million research funding arrived, no one had any doubts about the project, and no one doubted whether Lu Zhou's mathematical ability could really handle electromagnetic wave information that seemed indistinguishable from "noise".

Even the sound of the meeting was much quieter.

However, this is not because of the shock brought by the tens of millions of dollars, but because there is nothing to discuss next.

The entire engineering design plan has been discussed clearly in more than a month, and the complex physical details and engineering problems have also been resolved during the discussion.

The most critical issue now is to implement what has been discussed.

After the theoretical work came to an end, Lu Zhou suddenly and unexpectedly found that in the most stressful and critical last two weeks, he relaxed instead. At least until the equipment arrives, there's nothing more for him to do.

But compared to his ease, he suffered from those engineers.

In order to prevent the accelerator's confinement magnetic field from interfering with the plasma's confinement magnetic field, they had to make a hole in the laboratory wall, extend the launch trajectory that allows the particles to pass, and put the "magazine" of the atomic gun farther away. room to...

...

Princeton Institute for Advanced Study.

Hardy and Jericho brought a two-person herringbone pine from the outside, and put it together with the cardboard boxes with lights and ribbons in the corner of the office.

Although Lu Zhou gave them a holiday, no one seemed to plan to go back this Christmas.

Under Hardy's proposal, everyone unanimously decided to decorate the office with a more festive atmosphere on Christmas Day.

Wiping the sweat off his forehead, Hardy straightened his waist, and suddenly found that Lu Zhou, who rarely appeared in the office recently, was here today, so he said hello.

"Professor, Christmas is coming soon, will you spend it with us?"

Lu Zhou, who was writing at his desk, stopped writing, thought for a moment, and replied, "No accidents should happen."

Hardy's face was joyful, and he immediately asked enthusiastically, "Professor, do we have any Christmas presents?"

Lu Zhou smiled: "Of course, I will prepare a special Christmas gift for all of you."

There was an uproar in the office.

Lu Zhou actually prepared Christmas gifts for them?

Although they didn't know what it was, the expressions on everyone's faces were clearly looking forward to it.

Of course, there are also people with worried expressions on their faces.

Jericho tilted his head and looked at Hardy and murmured in a low voice: "Could the gift be a math problem?"

Hardy was slightly stunned: "Probably... no."

However, this seems to be something that a professor can do.

Hardy, who was very excited at first, is a little panicked now...

She didn't care what the gift was, she stopped the pen in her hand, and Vera looked at Lu Zhou expectantly: "Do I have it too?"

Lu Zhou smiled and nodded: "Of course."

For his students, he never favors one another.

Even for Hardy, who always gave him a headache, he prepared a gift for him.

Her cheeks were slightly flushed, and Vera said shyly, "...I, too, have prepared a gift for you."

Hardy whistled, but was quickly held down by Qin Yue.

Casting an inquiring gaze to the two, Lu Zhou asked.

"Any questions?"

Pressing hard on Hardy's mouth, Qin Yue forced a smile on his face: "It's nothing!"

emmm...

Looking at Qin Yue suspiciously, Lu Zhou always felt that this usually dull and honest guy seemed to be hiding something from him.

But it doesn't matter, anyway, Christmas will be here in two weeks.

All the answers to the mysteries will be revealed that day.

...

In the last class before Christmas, Lu Zhou came to the auditorium after a long absence with his textbook.

Because the holiday is approaching, the classroom is full of impetuous atmosphere.

It seems that whether it is a university in the United States or China, whether it is a mediocre or a gifted student, the feeling of the holiday is the same.

After walking into the classroom, seeing the unexpected expressions in the eyes of the students, Lu Zhou felt a little embarrassed.

I am ashamed to say that I have been too busy this semester. Not long after I returned from being a visiting scholar at Columbia University, I immediately boarded a flight to Germany.

So much so that the students who chose this course because of him didn't meet him a few times throughout the semester.

This is already the last class, and Lu Zhou felt that he should still perform his duties as a professor.

Anyway, he still has time these few days, and if he delays it, he may not be free anymore.

"...Today's class is about Mersenne prime numbers. I will mainly talk about the distribution of Mersenne prime numbers and the derivation and application of the Lu-Zhou theorem. This part is not the main point. You can relax a little. Anyway, I guess your current Thoughts have gone to Santa Claus."

Hearing the students' good-natured laughter, Lu Zhou wrote the title of the course on the whiteboard with a marker, and continued talking with his students in a chatty tone.

Most of the newly revised domestic textbooks use the word Zhou's theorem to replace Zhou's guess, but after Lu Zhou came to Princeton, he found that he had read several number theory textbooks, and all of them used "Lu-Zhou theorem" or "Zhou-Zhou theorem". Lu Theorem" is described.

Because the students had already previewed it, and because it was the result of his own research, Lu Zhou spoke very quickly, and he finished the entire course in less than 20 minutes.

Looking at the time on his watch, Lu Zhou saw that there was still a lot of time before get out of class ended, so he looked at his students and said.

"There is still a little time left in this class, if you have any questions, you can ask me."

A girl with long chestnut hair immediately raised her hand.

Lu Zhou nodded to her, indicating that she could get up and ask questions.

"Professor, are you working on NS equations?"

Regarding this unexpected question, Lu Zhou smiled and said.

"Why ask this question?"

"Many people are very curious," the girl asked after blinking, "we are also very curious."

Lu Zhou glanced around the classroom.

"Are you curious?"

About a third of the class nodded.

Lu Zhou asked repeatedly: "Really?"

Perhaps because of the mysterious smile on his face, almost all the students nodded curiously this time.

"That's fine." Lu Zhou erased the content on the whiteboard and wrote a new title, "In the second half of the class, I will talk about my personal understanding of the three-dimensional incompressible Navier-Stokes equation."

Revisiting some basic content can re-examine whether the obvious problems are really obvious.

Especially while expressing those abstract concepts that are not easy to express in language, Lu Zhou himself is also reviewing the thoughts generated in the research.

Standing on the podium, Lu Zhou spoke heartily.

But for the students in the audience, it is not so friendly.

Even though Princeton's undergraduates are very strong, and many of them have completed all the undergraduate content in their sophomore year, it is still quite difficult for them to fully absorb the content written on the whiteboard.

This is again for students who have a solid understanding of partial differential equations.

For those students who haven't started learning partial differential equations, or who don't know much about them, what Lu Zhou said is almost the same as the heavenly scriptures.

For these geniuses who can often ask professors to stop.

This is really too shocking!

"...According to the above conclusions, we can obtain the overall existence of smooth solutions to the three-dimensional incompressible Navier-Stokes equations in finite situations."

"As for how to generalize this conclusion to a more general conclusion, further research is needed."

"In order to deepen your understanding, I hope that in the remaining time, you can think about a topic. It is not difficult, but it should be interesting."

With that said, Lu Zhou picked up the marker pen and continued writing on the whiteboard.

【=-1/2∫R{((u·▽)v)w+(((v·▽)u)·w}dx】

[B(μ, v)=-1/2P{(μ▽)μ+(v▽)μ}]

【…】

Strictly speaking, this is not a topic, but a problem in the field of partial differential equations that he encountered when studying NS equations in the past two days.

Of course, he did not expect these undergraduates to give an answer, but he hoped that listening to the ideas of these students might bring some inspiration to his research.

While writing on the blackboard, Lu Zhou explained concisely at the same time.

"where P is the Leray projection of the divergence-free vector L...What we now require is the equation Pμi with a square-integrable solution."

【... Pμi=? 】

After writing the last character, Lu Zhou gently placed the marker pen on the multimedia desk, looked at the pensive students in the classroom, and said in a joking tone.

"If anyone of you solves this problem, I will persuade Professor Fefferman for him to allow him to graduate early and come directly to me to study for a master's degree, or a direct PhD."

Professor Fefferman is a researcher at Puga College and the dean of the Department of Mathematics at Princeton University. He is a kind-hearted old man who greets everyone with a smile.

Although Lu Zhou said this in a joking tone, the students present obviously did not really take it as a joke.

With Professor Lu's abilities, this promise can be fulfilled easily.

Studying for a master's degree under the "legendary" Professor Lu is quite attractive to these geniuses who pursue to climb higher mountains in mathematics.

The lecture hall fell into a deadly silence, and everyone was racking their brains to think.

However……

Obviously, this "question" is not so simple to solve.

Looking at these students who were lost in thought, when Lu Zhou was going to write down his e-mail address on the whiteboard and save this question for after class, a hand was suddenly raised in the corner of the back row of the lecture theater.

"...Can I use the whiteboard?"

Looking in the direction where the hand was raised, a look of surprise appeared in Lu Zhou's eyes.

It's not surprising that someone had an idea so quickly.

It was unexpected by the identity of this person.

The man sitting in the back row of the classroom is none other than the professor Fefferman, the dean of the Department of Mathematics at Princeton University he mentioned earlier.

Take a break and continue to explode tomorrow~