A Method for Solving Analytical Solutions of Nonlinear Partial Differential Equations with Broad Significance.

The paper, which was uploaded on arXiv for less than half an hour, caused a sensation throughout the academic community.

This time, not only the mathematics community, but also the eyes of the entire academic circle focused on the report meeting in Jiangcheng, which will last for three days.

In normal times, such a heavyweight paper may need to ferment for a period of time before it may attract large-scale attention from the academic community.

But who made Pang Xuelin sensational in the mathematical community through the proof of Ponzi geometry and the ABC conjecture in Paris before!

This Jiangcheng report meeting was the time when this young mathematician was at its most popular.

Everyone was staring at his new paper.

But no one expected that just as the mathematical community was still digesting and absorbing his Ponzi geometry and the proof of the ABC conjecture, this guy dropped a bombshell that was not much weaker than the previous two.

This is even more important for the academic community as a whole.

The end of biology is chemistry, the end of chemistry is physics, and the end of physics is mathematics.

As a discipline that stands at the top of the chain of disciplinary contempt, human research in the field of mathematics is far more in-depth than that of other disciplines.

Therefore, in many cases, the impact of cutting-edge research in mathematics may not be felt until decades or even centuries later.

But this time is different.

The general method of analytic solution of nonlinear partial differential equations will fundamentally promote the progress of engineering, physics, chemistry, biology and other disciplines, and is of great significance to contemporary natural science research.

Therefore, the first reaction of the academic community to such a major achievement is to look at it with a critical eye.

Even a top scholar like Pang Xuelin, who has fully proven himself, is no exception.

In the evening of the same day, major mathematics professional forums around the world began to discuss Pang Xuelin's paper.

"Oh my God, Pang Shen is a rhythm that mathematicians all over the world can't stop, two days ago my tutor was busy studying Ponzi geometry, but Ponzi geometry has not been studied thoroughly, and a paper has come out to solve the analytical solution of nonlinear partial differential equations."

"Do you think this paper is credible? If there really is such a method, the entire scientific community will probably blow up! ”

"Judging from Pang Shen's past records, the possibility of error is very small, if the analytical solution method of nonlinear partial differential equations in the general sense really makes him come up, Pang Shen can really be a god in the mathematical world!"

"It is said that this morning (local time in the United States), the Institute for Advanced Study in Princeton specially organized a seminar, bringing together four or five professors of partial differential equations, differential geometry, and algebraic geometry to study Pang's new paper, and the big guys such as Deligne and Feverman are there."

"Is the result out?"

"God knows, even if it comes out, they probably won't make a statement so early!"

……

Bang bang bang –

Pang Xuelin, who was asleep, was awakened by a shrill knock on the door, the sky outside had completely darkened, he got up and lit his mobile phone, looked at the time, it was half past eight in the evening.

The time when he uploaded his paper to arXiv was around half past ten in the morning, that is, he slept for almost ten hours this night.

After bursting his liver for many days, Pang Xuelin slept so refreshed for the first time.

"Who!"

Pang Xuelin got up from the bed, opened the door, and saw Liu Tingbo and Qi Xin standing at the door.

Qi Xin was still holding an insulated lunch box in his hand.

"Dean Liu, why are you here?" Pang Xuelin was slightly stunned.

Liu Tingbo said: "Can I not come?" Professor Pang, if you continue to do this, my heart can't stand it! Do you know how many calls I received today? Two hundred! More than two hundred! Domestic and foreign, leaders of the Chinese Academy of Sciences, the Ministry of Science and Technology, experts and professors at home and abroad, they can't contact you, they all call me to inquire about the news, and I am still confused! And today is the day of the report meeting, mathematicians from all over the world are coming, and there is a reception in the middle, and my whole head is going to explode! ”

Pang Xuelin scratched his head and said a little embarrassed: "Dean Liu, I'm sorry, next time, I must say hello in advance!" ”

Liu Tingbo cried and laughed: "There is a ...... next time"

Seeing Pang Xuelin's innocent appearance, Liu Tingbo couldn't help but feel a little helpless, and said: "Forget it, I hope that next time you have this kind of achievement, say hello to me in advance, I have a good psychological preparation." I asked Xiao Qi to pack some food from the hotel, which was made for you by the hotel's chef. ”

"Okay, next time I will report in advance, Dean Liu, senior sister, you guys come in first!"

Pang Xuelin hurriedly turned sideways and let the two into the house.

Qi Xin winked at Pang Xuelin and pursed his lips and chuckled.

After entering the door, Qi Xin put the food box on the table, and then took out the food inside one by one.

Rice, beef tenderloin with sharp peppers, shrimp and eggs, mushroom rape, and a West Lake beef soup, three dishes and one soup, all of which are colorful, fragrant, and flavorful.

Pang Xuelin was hungry for a long time, so he was not polite, so he picked up the chopsticks and ate directly.

After a while, he seemed to remember something, looked up and said to Liu Tingbo and Qi Xin: "Dean Liu, senior sister, have you eaten?" ”

Liu Tingbo said: "We have all eaten, you hurry up and eat yours!" ”

Fifteen minutes later, Pang Xuelin finally filled his stomach.

Qi Xin put away the dishes and chopsticks and said, "Dean Liu, Professor Pang, let's talk, I'll send the tableware back to the hotel first!" ”

"Okay, you've been busy all day today, go back early and rest!"

Seeing Qi Xin's figure disappear at the door, Liu Tingbo said with a straight face: "Professor Pang, how sure are you this time?" The problem of solving systems of nonlinear partial differential equations is not only watched by the mathematical community, but also by the entire academic community! ”

Pang Xuelin smiled faintly and said, "I dare not say that I am 100% sure, but I am always 80% or 90% sure!" Anyway, this method is not difficult to verify, even if my theoretical mathematics community does not recognize, but mathematicians can not prevent scholars in other disciplines from using my method to solve nonlinear partial differential equations, and then everyone can naturally distinguish the good and bad of this method I have made! ”

Liu Tingbo couldn't help laughing and said, "That's right, by the way, can your theory prove the existence and smoothness of the N-S equation?" ”

"N-S equation?"

Pang Xuelin was slightly stunned.

At the beginning, I came up with a method to solve the analytical solution of nonlinear equations in the wandering earth world, just to solve the problem of whether the exact solution can be given when the ground and trees intersect, but I really didn't think that this set of theories could prove the N-S equation problem.

Pang Xuelin thought for a while and said: "Theoretically, the existence and smoothness of the N-S equation can be partially proved, but I dare not guarantee whether it can be fully proved!" ”

Liu Tingbo said with a smile: "That's what I said, when you are free in the future, you can study it in this direction!" ”

Pang Xuelin nodded and said, "This can be considered!" ”

Then, Liu Tingbo chatted with Pang Xuelin for a while, and then said goodbye and left.

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