Chapter 169 The Existence and Smoothness of Solutions to Navier-Stokes Equations

Chapter 169 The existence and smoothness of solutions to the Navier-Stokes equation

Ning Chen knew that Qiu Chengtong was just joking, but Ning Chen's status in Qiu Chengtong's heart would definitely not be low, otherwise Qiu Chengtong would not specially invite him over.

After taking a sip of the tea, Ning Chen felt that the tea had a rich aroma, a mellow taste, and a sweet aftertaste.

Ning Chen is not a tea drinker, but he can probably tell the difference between good tea and bad tea.

"How's it going? Is this tea good?"

"It's very good. It's the best tea I've ever had."

"That means you haven't drank enough tea." Qiu Chengtong said with a smile.

While adding tea to Ning Chen, Qiu Chengtong asked:

"Ning Chen, how do you feel about communicating at Yanda during this time?"

Upon hearing Qiu Chengtong's question, Ning Chen's heartbeat suddenly accelerated a lot.

Ning Chen knew that this question was not easy to answer. No matter what he said, he might offend Qiu Chengtong.

Seeing Ning Chen's embarrassment, Qiu Chengtong smiled and said:

"Ning Chen, why are you nervous? When you gave an open class at Shuimu University, you didn't see you so nervous?"

Ning Chen knew that no matter what he said, it was inappropriate, so he simply stopped thinking about it and said calmly:

"It feels pretty good. Various science subjects have improved a lot. However, the engineering subjects of Yan University are still relatively weak. It would be best if I have the opportunity to come to Shuimu University for exchange and study for a period of time."

"So, you think Shuimu University's mathematics is not as good as that of Yan'an University?"

After hearing what Qiu Chengtong said, Ning Chen quickly waved his hands and said:

"No, no, I mainly studied physics, chemistry and biology at Yan University. My participation in your scientific research training camp at Shuimu University was my most precious experience in studying mathematics."

Seeing Ning Chen racking his brains not to offend himself, Qiu Chengtong couldn't help but smile and said:

"Okay, I won't make it difficult for you. It's a good thing to go to Yanda for exchange and study. Why are you so nervous? I have no objection to Yanda. Whether it is the autumn competition or the scientific research training camp, I am Students at Yanda are treated equally.”

What Qiu Chengtong said was indeed true. Otherwise, Ning Chen would not have met Lin You and Song Xiyun at Shuimu University.

Ning Chen vaguely felt that these were not what Qiu Chengtong really wanted to say when he came to him today.

Sure enough, after a while, Qiu Chengtong said:

"Ning Chen, have you been studying any math topics recently?"

"Not recently, I mainly focus on other science subjects."

During this period, the only time Ning Chen was exposed to mathematics was the mathematics classes he took with Song Xiyun.

"What, don't you want to continue studying mathematics? You are the winner of the Simons Scholar Award. Based on your current age, it is entirely possible to become a great mathematician in the future."

Seeing that Ning Chen had neglected mathematics, Qiu Chengtong felt as if he had been neglected, and his mood seemed a little lost and regretful.

Of course, Ning Chen also understood that Qiu Chengtong just didn't want to waste his talent in mathematics and was worried that he would completely give up on mathematical research.

"Professor Qiu, I will definitely continue to study mathematics. It's just that I haven't found any suitable research topic yet. After solving Qiu Chengtong's conjecture, my mentality is indeed different from before."

If it were some relatively simple research topics, Ning Chen would no longer have as much research motivation as before.

But if it is a research topic of the same level as Qiucheng's conjecture, or even more complicated, on the one hand it is difficult to find, and on the other hand it may be so complicated that Ning Chen himself is not capable of solving it.

"Well, Ning Chen, I understand how you feel. Just like after I just solved the Calabi conjecture, I also had your current thoughts. This is not because I became arrogant after solving this kind of world problem, it's just my own The goals are different from before.”

Qiu Chengtong had a very similar experience to Ning Chen, so he could empathize with Ning Chen.

"In this case, Ning Chen, I will recommend a topic to you. You can try it after you go back and see if you have any clues in the research."

Hearing Qiu Chengtong's words, Ning Chen couldn't help but feel anxious again.

If Qiu Chengtong asked him to study a topic of the Riemann Hypothesis or Goldbach Hypothesis, he might not be able to provide a complete solution even if he spent his whole life.

Even if he used the system to exchange answers directly, Ning Chen might not be able to save enough energy points.

"Ning Chen, you should know the Navier-Stokes equation, right?"

When Ning Chen heard the term "Navier-Stokes equation", he was naturally familiar with it.

This is an equation of motion used to describe the conservation of momentum in viscous incompressible fluids, referred to as the N-S equation. Ning Chen also had a certain understanding of this equation when he studied various mathematics courses on his own.

"Well, I know, this is N-S convenience, right?"

"Yes, it is the N-S equation. I hope you can try to study the existence and smoothness of the solution to the Navier-Stokes equation in three-dimensional space in the future."

Ning Chen couldn't help but take a breath when he heard the research direction Qiu Chengtong recommended to him.

Although this research topic is not as well-known as the Riemann Hypothesis and Goldbach's Hypothesis, it is also listed as one of the "Seven Major Mathematical Problems of the Millennium".

It's just that the description of the problem itself is very difficult to understand, so it is not as popular as several other unsolved mathematical conjectures.

But if Ning Chen can solve this conjecture, it will really be enough to reach the level of Fields Medal.

"Professor Qiu, I... go back and study it and give it a try."

"Well, there's no need to feel any pressure, just think of it as another bold attempt. Before you started studying Qiu Chengtong's conjecture, I didn't expect that you could really solve it completely, but in the end you proved your Ability. Even if this problem cannot be solved, I believe you will be further improved in the process of studying this topic."

Ning Chen understood Qiu Chengtong's good intentions for him. He really hoped that there would be a native-born Fields Medal winner in China.

In the following time, Qiu Chengtong gave Ning Chen some serious insights into the Navier-Stokes equations, and Ning Chen carefully remembered these in his mind.

With Qiu Chengtong's experience, it will be easier for Ning Chen to solve this unknown mathematical conjecture.

One morning passed, Qiu Chengtong and Ning Chen talked about many topics related to mathematics, and Ning Chen also felt that he had benefited a lot.

After treating Ning Chen to a simple meal, Qiu Chengtong couldn't stay with Ning Chen any longer.

"Ning Chen, when you come to Yanjing next time, you must remember to visit Shuimu University."

"Okay, I will definitely watch Professor Qiu next time." Ning Chen promised.

"Well, don't bring anything else next time. If you must, just bring some of your draft paper." Qiu Chengtong said with a smile.

After seeing Ning Chen off, Qiu Chengtong returned to the office in Jingzhai Building, opened the Four Treasures of the Study given to him by Ning Chen, and touched it lovingly.

Although this set of Four Treasures of the Study was not very valuable, Qiu Chengtong liked it very much. After all, it was given to him by Ning Chen.

Qiu Chengtong happened to be interested, so he asked Feng Lan to help him grind the ink, while he dipped his brush in ink and wrote his own poems on the rice paper.

…

After more than a semester of internship at Yanda, Ning Chen finally boarded a plane back to Shengzhou.

This time, Ning Chen did not say hello to the school again, so as not to trouble Zhang Kun to come to the airport to pick him up.

After arriving at Shengzhou Airport, Ning Chen took a taxi from the airport and drove directly to the gate of Xiangdu Garden Community.

"Phew... finally home!"

Ning Chen had to admit that it felt really good to be back at home. This kind of big house was much more comfortable than the doctoral student dormitory.

Since the house had not been occupied for several months and was full of dust, Ning Chen first gave the house a thorough cleaning.

Cleaning a 120-square-meter house is quite troublesome. Ning Chenxin said that it would be nice if there was someone to help her at this time.

After finally cleaning the room, Ning Chen took a hot shower. After that, he was too lazy to go out to eat, so he directly ordered a takeaway to eat at home.

After eating, Ning Chen came to the study room and thought about his future research plan.

Qiu Chengtong just provided Ning Chen with a new research topic a few days ago. Ning Chen was indeed very interested in this research topic, but Ning Chen felt that the research on mathematics should be pushed back.

The top priority is to continue research on iron-based superconductors.