Shen Nuofei will have a full moon tomorrow, and today is the day before the start of the school year for colleges and universities, primary and secondary schools across the country.

At the request of relevant departments, primary and secondary school students across the country will watch the "Opening Classroom" program at 8 o'clock tonight.

This year's "Opening Classroom" is different from previous years, at 8 o'clock in the evening, "Opening Classroom" started on time without advertising.

It was not the entertainment talent singers with heavy makeup who warmed up the scene, but the Chinese team, the runner-up of men's basketball at the World University Games.

The boys of the basketball team come from colleges and universities across the country, and in the men's basketball semifinals of the World University Games that just ended, they relied on tenacious fighting spirit and impeccable teamwork to stage a shocking reversal in the men's basketball semifinals of the World University Games, and in the difficult situation of falling behind by 16 points, they staged a shocking reversal, eliminated the powerhouse Russia, entered the final in history, and won a valuable silver medal.

The Chinese college men's basketball team played a majestic momentum, showing the masculine power of Chinese youth, and moving the whole of China.

The Chinese college student men's basketball team who returned with honors introduced themselves at the beginning of "The Opening Classroom", they are all college students, some learn materials, some learn machinery, and some study law, many of them are top students.

Then the program played a set of VCRs, which were a wonderful collection of famous Chinese scholars.

Physicists continue to refresh records of quantum entanglement, astronomers build national weapons to explore the universe, writers splash ink and squander the soul, and mathematicians are high-spirited to solve the problems of the century.

Shen Qi hugged his daughter in front of the TV to watch "The Beginning of the Classroom", and the mathematician in the TV screen was him.

Accepting patriotic education and scientific education from the baby, Shen Qi is very satisfied with this year's show: "Yes, this is the real school education." ”

After the show was broadcast, no one from parents across the country complained, all of them were likes.

The next day, school started.

Shen Qi held a full moon wine for his daughter today and invited a few relatives and friends to the banquet.

Zhou Yu'an brought a bunch of gifts, milk powder, baby clothes, dolls, everything, and a complete variety.

"Big niece Nofi, I wish you good health. Zhou Yu'an said to Shen Nuofei.

Shen Nuofei smiled and didn't speak, she developed relatively quickly, and when she was a month old, she would smile at things she thought were interesting, but she couldn't laugh, and it would take about another month or two for her to laugh.

Xiao Junlong sent a piece of jade, saying that this jade is very promising, suitable for girls to wear: "Little Nophi, beautiful jade with beauty." ”

A one-month-old baby can't laugh, but it can cry, Shen Nuofei cried, Xiao Junlong's appearance scared her.

Ouye's best friend Xiaolian gave a baby hat.

Shen Nuofei smiled again, she would smile when she saw men and women with normal appearances, it was very cute.

Witten came to China a few days ago, and he returned to the United States to rest for more than two months.

Witten, who followed the local customs, gave a red envelope of 1,000 RMB, which is really human.

After finishing the full moon wine, Shen Qi, Witten, Zhou Yu'an, and Xiao Junlong came to the center to discuss important matters.

Shen Qi said: "Zhou Yu'an has done a very good job recently, he proved the corner principle, and obtained a set of important data about the N-S equation through the infinite flow algorithm of partial differential equations. Zhou Yu'an, let's talk about it. ”

Zhou Yu'an played the PPT and began to explain: "According to Professor Witten's algorithm framework and Professor Shen's supplementation, I have obtained the following inferences. ”

Four sets of formulas are displayed on the screen:

（1）∂uj/∂t+Σuk∂uj/∂xk=△uj-∂p/∂xi+fj，（t，x）∈Ω，i=1，2，3；divu=Σ∂uk/∂xk=0，（t，x）∈Ω

（2）u（t，x）∣t=0=0

（3）u（t，x）∣xk=-π=u（t，x）=π，∂u/∂xk∣xk=-π=∂u/∂xk∣xk=π，k=1，2，3，0≤t≤a

（4）∫Qp（t，x）dx=p0，p0=const＞0

"The problem of the N-S equation is transformed into a problem that seeks the velocity vector and scalar functions at the point x∈Ω and at the moment t∈(0,a). Zhou Yu'an switched PPT to the next page.

A corollary is written on this page: "Corollary 1: For f∈L2(Ω, if we find a solution to Eq. (1)-(4), i.e., we find a generalized solution to the N-S equation, this solution is of general significance. ”

"Awesome, old Zhou!" Xiao Junlong stood up with a brush, Zhou Yu'an has been in retreat in recent months, and he has done something amazing.

The previous derivation and proof work was all done by Zhou Yu'an, and now the only problem, and the most critical problem, is to find the solution of equation (1)-(4) and prove this inference.

"Looks like nothing is wrong with me. Witten smiled and spread his hands, he affirmed Zhou Yu'an's efforts.

Shen Qi said: "So now we only need to do one thing, Zhou Yu'an just said very clearly, prove the inference 1, that is, to find the solution of equation (1)-(4). So Zhou Yu'an, this final blow is still up to you. ”

"I can't handle it. Zhou Yu'an shook his head and looked at Xiao Junlong: "Old Xiao, do you want to go up?"

Xiao Junlong shook his head: "Lao Zhou, you can't handle it, and I definitely can't do it either." The latter things are no longer pure mathematical physics, partial differential equations, and fluid mechanics, but should also be handled by topological and functional tools. In fact, Lao Zhou, the two of us have outstanding advantages, but we also have common weaknesses, that is, the professional scope is narrow, and the comprehensive treatment still has to be handled by Professor Shen and Professor Witten. ”

The N-S equation project has advanced to this stage, and all four people have contributed.

The current situation is that the two generals, Zhou and Xiao, have cleaned up all the monsters, and the remaining big boss needs to be solved by two big bosses.

The two bigwigs glanced at each other, okay, let's do it.

The N-S equation project entered the critical stage, and Shen Qi and Witten divided labor.

Witten's thinking is clear and the overall situation is very good, but after all, he is old, and he has some difficulty in calculating high intensity.

The tedious and complex derivation calculations in the tackling stage were personally handled by Shen Qi, and Witten was responsible for checking the calculations, finding faults and finding loopholes.

Eq. (1)-(4) is expanded, and a large number of partial differential and ordinary differential equations are derived, as well as more than a dozen definitions and lemma that need to be proved.

In order to simplify the calculation, Shen Qi specially invented a new tool and discussed it with Witten.

"From Lemma 2 to Lemma 9, the normal way of thinking is that considering the case of u2 and u3 to infinity, then we want to use lemma 3 infinitely, and the most troublesome thing is the non-negative monotonic increase function, which means that our workload will increase more than a hundredfold. ”

"So I invented this new tool, and it's kind of a way to deal with it, it's valid, it's simple and efficient. Shen Qi showed Witten his new method of assuming that PN is an N-dimensional orthogonal projection operator in H, then for any x∈H, when N →∞, PNx →x.

After verification by Witten, the new tool satisfies the commutability of P and A, and can be used in the computational proof of lemma 2 to lemma 9, so as to simplify the calculation process and improve efficiency.

Even though the operation was simplified, the work continued throughout September, and Shen Qi did not calculate a generalized solution to the N-S equation.

Regardless of whether he can solve the N-S equation or not, Shen Qi gets home from work on time at 5 o'clock every day.

Today, when Shen Qi teased his two-month-old daughter, the girl laughed.

"Nofi, I know it's useless for you to laugh at me, I can't even solve the N-S equation, so let's not solve this equation first, and leave it to you when you grow up, you can handle it, okay?" Shen Qi touched the girl's pink face.

The girl continued to laugh, drooling from laughter.

Shen Qi: "Girl, can you give me some hints?"

Shen Nuofei: "Giggles." ”

Shen Qi was quite surprised: "Nofi laughed out loud, and he laughed out loud in two months!"

Looking at Shen Qi like this, Shen Nuofei couldn't stop laughing, this is a baby girl who loves to laugh very much: "Slightly slightly." ”

"Slightly, slightly, slightly, cyclical boundary?" Shen Qi suddenly realized, his daughter said that cyclical boundary, that must be right!

Shen Qi handed over his daughter to Ou Ye: "The child is her mother, hold the baby, I will come when I go." ”