I Just Want to Be a Quiet Top Student

Vol 2 Chapter 478: Supercomputing

Shen Qi came to the study, unrolled the paper roll, and began to derive the calculation.

The problem of n-s equation is the problem of describing incompressible fluid dynamics. This problem involves the existence and smoothness of the solution of n-s equation of incompressible viscous fluid.

The n-s equation project team has completed the previous discussion, and now only the last step is to find the complete solution of the existence and smoothness of the n-s equation solution of the incompressible viscous fluid.

Shen Qi believes that among the four key formulas, formula () is the most important key, so Zhou Yuan listed it as formula () and put it first.

Facing the millennium problem n-s equation that has plagued people for many years, Zhou Yuan's ability to achieve this step reflects tremendous academic progress and a high level of mathematics.

The last blow was handed over to Shen Qi. He made a new calculation, supplementing the boundary conditions of equation (), that is, giving periodic boundary conditions and initial conditions to the space coordinates.

"A little bit, almost a little bit."

The thinking became clearer and clearer, the disguise of the puzzle was stripped off layer by layer by Shen Qi, and the last veil was wrapped around the final answer, uncovering it, and cracking it.

After Shen Qi's perfection, formulas () to (3) determine the initial conditions and boundary conditions. The only thing that cannot be determined is the pressure p(t,).

Years of brewing, one year of continuous discussion and specific implementation, the most recent month's focus on fire, the n-s equation project has advanced to this moment, and the pressure cannot stop Shen Qi's progress.

Shen Qi obtained a set of vector functions in Hilbert space f(t,)=(f(t,), f2(t,), f3(t,)) ∈ r^3. He worked hard and calculated Euclidean The scalar product of space, and the most important norm.

The last layer of mystery of the n-s equation was unveiled tonight, in Shen Qi's study.

Shen Qi wrote a formula on the paper. This is the last formula of the whole project. Compared with the long series of partial differential equations, the final conclusion is not too complicated:

Σ(∣∣uk(t,?)∣∣^2l2(Ω)+∫∣∣graduk(η,?)∣∣^2l2(q)dη)≤Σ∫∣∣fk(η,?)∣∣^ 2l2(q)dη

"Yes, this is the general solution of the n-s equation, I finally found you!" Shen Qi clenched his fists and waved twice, he rushed out of the study, wanting to kiss his wife and wife.

"Forget it, kiss again at dawn." Shen Qi saw the wall clock on the wall. It was 2 o'clock in the morning, and his wife and daughter were asleep.

Shen Qi returned to the study and verified it again. This general solution satisfies the formula ()-(4), which is the correct answer without a doubt.

After Shen Qi sorted out the manuscript, a round of sunrise rose.

"You stayed up all night?" Ou Ye got up, but the baby hadn't woken up yet.

"The n-s equation is settled, and there are not many projects that will allow me to stay up late in the future." Shen Qi sat on the table and had breakfast with Ou Ye.

"It's done, great. Give me a look." Ou Ye was very excited. She nursed every day and confinement at home. The nanny was actually very boring after a long time.

Although the profession is not right, the solution of the n-s equation is equivalent to a stimulant for Ou Ye. ..

Shen Qi presented the manuscript of the n-s equation to his wife: "I have sorted it out, but it's still a bit messy. This is the first edition. Please review and correct it by Dr. Ou."

Ou Ye didn't look at the extremely complicated derivation calculations and expositions. She turned directly to the following conclusion page and stared at the general solution of the n-s equation without slamming her eyes: "That's it?"

"Yes, that's all." Shen Qi nodded, refreshing himself with a cup of coffee.

In a short period of time, Ou Yeh could not fully understand Shen Qi's manuscript. Her instinct told her that her husband had done another superb thing: "Congratulations to your husband, but you still have to pay attention to your body and don't stay up late."

"My wife is the best." Shen Qi kissed Ou Ye, and suddenly on a whim, he pulled out the last page of the manuscript, which is the page with the general solution of the ns equation, and took a pen to write on the paper: My daughter Shen Nuofei 4 Heaven, his father broke the Navier-Stokes equation, and his mother passed the first test.

"You will remember it!" Ou Ye burst into a laugh, and said: "Nofi's mother laughed but didn't say anything because of her professionalism. She was soy sauce."

Shen Qi handed the manuscript to Ou Ye: "The last page is the most important conclusion page. This manuscript is the first version of the manuscript written when I was in the most brave state. Please keep this page after Nuofi's mother and submit it to Nuofi in the future. , Passed on from generation to generation."

Ou Ye took the manuscript: "I'll let Sister Cuiping take it out and frame it later."

Shen Qi hugged his wife and laughed: "It's so good!"

When he came to the center, Shen Qi rewritten the last page, scanned more than 200 pages of the manuscript into pdf format, and then convened a meeting with Witten, Zhou Yuan, and Xiao Junlong.

"I have worked out the general solution, and then I will ask the three of you to verify it separately and wait for your news." Shen Qi, who had been boiled for a whole night, relied on caffeine to forcibly refresh himself. He looked radiant, but in fact he was already very tired.

"Big guy is really big guy!" Xiao Junlong jumped up excitedly, Wei Teng and Zhou Yuan were equally excited.

The three of Witten and others find a quiet and independent space and each verify the solution of the n-s equation.

Shen Qi regained consciousness in the center, waking up, and resurrected with full blood.

Manual verification can't be done in one or two days. Simultaneously with the manual verification, Shen Qi began to contact the Yanda Supercomputing Center to make an appointment for the use of Shenteng 880.

The Shenteng series of supercomputers were developed and manufactured by the same Chinese company. Yanda bought the then latest supercomputer Shenteng 880 several years ago and named it "Weiming No. 1". After several years of operation and exploration, "Weimingyi" "Number" tends to be mature and stable, ranking in the global supercomputer tp20.

Manual verification is mainly to carry out forward and reverse derivation and verification from the logic of thinking ~ www.novelmtl.com ~ Massive data processing and prediction, no human can do it, Shen Qi can not do it, and must use super computing.

The director of the Yanda Supercomputing Center heard that Shen Qi wanted to use the "Unnamed One" to verify the n-s equation. He absolutely supported it and reserved time for Shen Qi.

Witten, Zhou Yuan, and Xiao Junlong are very familiar with the solution of the n-s equation, and many of the work is done by them.

Even so, Witten, the first to complete manual verification, took more than a week.

"Wow, perfect, odd, it seems we really solved the n-s equation, at least there is no logical problem." Witten and Shen Qi shook hands and hugged, and the two Philippine Prize winners joined hands to complete a project.

A few days later, Zhou Yuan and Xiao Junlong completed manual verification, no problem, let's get the super count!

Yanda Supercomputing Center ushered in the n-s equation project team led by Shen Qi and Wei Teng.

The "Unnamed One" has been launched, and the researchers of the Yan University Supercomputing Center are ready for everything. They waited for Professor Shen to give an order to start the calculation program.

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