Yet Again, Me?
The first speaker was Edward Witten, whose confident and poised delivery allowed him to articulate the framework design of the NS Equations project in concise language.
The applause from the audience was thunderous. Witten fired the first shot and further whetted the appetite of all the guests.
Xiao Junlong's performance was adequate; he gave a standard PPT presentation. While he wasn't as adept as Witten, he completed the task without making any mistakes.
Zhou Yu'an's stage performance was better than Xiao Junlong's, and Shen Qi's final appearance ignited the atmosphere to a climax.
"My three partners have completed the previous work; they did a fantastic job." Shen Qi looked down at the audience, at the positions of Witten and his two partners.
"This part of my report will present the general solution to the Navier-Stokes equations. Let's return to the four equations Professor Zhou just presented..."
"... So, we have obtained a set of vector functions in Hilbert space, a scalar product in Euclidean space, and this norm. The answer is here, please look at the screen." Shen Qi switched to the most important slide.
This slide presents the general solution to the Navier-Stokes equation: Σ(∣∣uk(t,)∣∣^2L2(Ω)+∫∣∣graduk(η,)∣∣^2L2(Q)dη)≤Σ∫∣∣fk(η,)∣∣^2L2(Q)dη
Brush!
The guests all stood up, their expressions filled with excitement.
"Based on the calculations of the Supercomputer 'Weiming-1,' this general solution has universal significance. Here we have listed the important data from 'Weiming-1,' which shows that we have succeeded." Shen Qi displayed the core Numerical Analysis data provided by "Weiming-1." This was not all the data, but it was sufficient.
"I would like to thank Professor Witten and Princeton University and the Princeton Institute for Advanced Study for their crucial role in proposing the Infinite Flow Algorithm of Partial Differential Equations in this project. I suggest that this algorithm be named the Witten - Faltings - Oden algorithm in tribute to these three outstanding mathematicians."
"Thank you to Professor Zhou Yu'an and Associate Professor Xiao Junlong for their tireless efforts day and night, and to the Yanjing University Supercomputing Center and the Department of Mathematical Physics of the Chinese Academy of Sciences for their strong support."
"Finally, I'd like to thank my wife and my daughter."
"Actually, my daughter also contributed to this project, but she is too young, less than three months old, and does not have the right to be listed as an author, so her name is not on the list. Thank you, thank you for listening, that concludes our report!" Shen Qi bowed in gratitude.
The presentation concluded successfully with a round of applause from the audience.
That evening, Shen Qi Team released the full paper, "Research on the General Solution of the Navier-Stokes Equations," in a pre-recorded format, along with supercomputing data.
They don't plan to publish the paper in a journal; it's over 200 pages long enough to be published as a monograph.
Renowned journals such as Nature, Science, and PRL, which publish original papers and offer commentary, immediately reprinted the core conclusions of "A Study on the General Solution of the Navier-Stokes Equations." The Annals of Mathematics, one of the four major mathematics journals, also did something similar.
The first international authoritative organization to acknowledge the study of the general solution to the Navier-Stokes equations was the ICTP, the International Centre for Theoretical Physics Research.
IMU is still taking a wait-and-see approach; it is said that this most authoritative mathematics institution is organizing experts and scholars to verify Shen Qi and his team's solution.
ICTP recognized Shen Qi and his team's solution to the Navier-Stokes equations, acknowledging that Shen Qi Team was the first to solve this Millennium Prize Problem.
ICTP recommends officially naming the Infinite Flow Algorithm of Partial Differential Equations equations the Witten - Faltings - Oden algorithm, or WFO Algorithm for short.
Furthermore, it is suggested that the novel Infinite Series processing method proposed in the study of the general solution of the Navier-Stokes equations be formally named the Shen Qi Algorithm.
Faltings is Zhou Yu'an's Doctoral Supervisor and Fields Medal winner. Oden is a retired mathematics professor at Princeton, now enjoying his retirement in UNC, USA.
Faltings and Oden had never participated in Shen Qi Team's Navier-Stokes equations project from beginning to end; they were named after the algorithmic ideas they had previously proposed.
Most of the work proving the WFO Algorithm was done by Zhou Yu'an and Shen Qi. Perhaps it was fate that the teacher proposed the idea and the student completed the proof. Faltings was Zhou Yu'an's Doctoral Supervisor in mathematics, while Witten was Shen Qi's Doctoral Supervisor in physics.
Shen Qi's resume has been updated with another important achievement - leading the team to solve the Navier-Stokes equations, and Zhou Yu'an and Xiao Junlong also made their own contributions.
Regardless of whether the IMU recognizes it or not, the system does.
System: "New achievement! The host has solved the Millennium Prize Problem, the Navier-Stokes equations, and named the Shen Qi Algorithm after the host. The base reward is 8 million Academic Points, multiplied by the Mathematical Talent Coefficient of 2.0, resulting in a final reward of 16 million Academic Points. Remaining balance: 50,132,488 Academic Points. Please confirm."
"Condition three for advancing to level 15 in mathematics has been completed. Please confirm again."
The three necessary conditions for advancing to level 15 in mathematics are:
1. 60 million academic points or experience points.
2. Solve at least one of the Hodge conjecture or the BSD Conjecture.
3. Solve at least one of the following: P versus NP problem, Navier-Stokes equations, or Yang-Mi equations.
The optional condition for upgrading in one move is: completing the Mathematical Grand Unification.
Shen Qi has solved the Hodge conjecture and the Navier-Stokes equations. He has also solved the second and third of the three mandatory conditions.
I'm currently short of nearly 10 million academic points to reach level 15 in mathematics.
Level 15, the system setting is "Invincible and Lonely".
Invincibility is the ultimate goal pursued by everyone, and Shen Qi also yearns for invincibility.
Compared to solving the Millennium Prize Problem, the problem that academic excellence points can solve is not a big deal. Just keep racking up points, and publish a few more original papers with high impact factors in journals like Science, Nature, and Today's Physics, and you'll be all set.
The Navier-Stokes equations have extremely important applications. They can be used to simulate weather, ocean currents, the motion of stars in galaxies, airflow around aircraft wings, as well as the design of aircraft, ships, and vehicles, the study of blood circulation, the design of power plants, the analysis of pollution effects, and so on.
Turbulence occurs constantly in nature, but it is extremely difficult to solve. By thoroughly mastering the Navier-Stokes equations and with the aid of Computer Science, the turbulence problem may be able to be precisely solved.
In conclusion, solving the Navier-Stokes equations is a great achievement that benefits mankind, and the country has given high praise to Shen Qi Team.
After the commendation ceremony, Shen Qi was interviewed by reporters.
The reporter said, "Professor Shen, the international Physics Community has widely recognized your team's research results on the Navier-Stokes equations. According to information we have obtained from the Swedish Royal Academy of Sciences, you and Professor Witten have been recommended as candidates for the Nobel Prize in Physics in Physics next year. This will be your second attempt to win the Nobel Prize in Physics."
Shen Qi was a little surprised. "Is the information accurate? How come I didn't know about it?"
Reporter: "Our station has a long-term correspondent stationed in Sweden, and their information is very accurate. We received this information five minutes ago."
Shen Qi shook his head and said, "Actually, although the Navier-Stokes equations have cross-boundary properties, I think the process of solving this problem is a mathematical process. It's really unexpected that you recommended me to participate in the Nobel Prize in Physics evaluation again?"
Reporter: "I'd recommend you for the Fields Medal, but you're not even qualified... Oh no, I mean, you've already dominated the highest honor in Mathematics Community."