Chapter 202 Disagreements Among Mathematical Geniuses

Ning Chen originally wanted to ask Tao Zhexuan to sit in the back seat of the car, but Tao Zhexuan insisted on sitting in the passenger seat.

"Ning Chen, I can't treat you as a driver. You are a mathematician whom I respect very much!"

This was the first time that Ning Chen heard someone call him a "mathematician". In Ning Chen's understanding, those who can be called mathematicians are usually very old or have been dead for many years.

"Thank you, Professor Tao. I'm just a person who studies mathematics. I can't be called a mathematician."

After the vehicle started, Tao Zhexuan said:

"Ning Chen, if I discuss some mathematical problems with you now, will it affect your driving?"

Tao Zhexuan couldn't help but exchange math problems with Ning Chen. However, seeing that Ning Chen was so young and might not have much driving experience, Tao Zhexuan was a little worried that Ning Chen would be distracted.

"It's okay, Professor Tao, I drive pretty well, so just feel free to chat."

After hearing what Ning Chen said, Tao Zhexuan no longer worried and started talking about the mathematical problems he wanted to talk about.

In fact, before Tao Zhexuan decided to come to Shengzhou to find Ning Chen, Ning Chen had not published the paper on the Navier-Stokes equation. Tao Zhexuan just wanted to chat with Ning Chen about Qiu Chengtong's conjecture. .

Tao Zhexuan himself had tried to prove Qiu Chengtong's conjecture before, but because there was no good entry point, Tao Zhexuan had no choice but to give up the idea in the end.

When Tao Zhexuan saw Ning Chen's three papers on Qiu Chengtong's conjecture, he was very shocked by Ning Chen's proof ideas.

If Tao Zhexuan were to be the judge of the Fields Medal, Tao Zhexuan would be willing to award Ning Chen the Fields Medal based on this achievement alone.

Until recently, Tao Zhexuan saw one of Ning Chen's latest papers, and couldn't help but be immersed in Ning Chen's unconstrained thoughts.

Tao Zhexuan had to admit that even for himself, it was not easy to understand all Ning Chen's theories. This really took Tao Zhexuan many nights.

"Ning Chen, you drive really well. You can talk to me about these math problems while still driving so steadily."

"Academician Tao, I am an experienced driver." Ning Chen said with a smile.

In the previous life, due to some work reasons, Ning Chen often had to drive and talk on the phone at the same time, and he had already developed this ability to multi-task.

After the mental index has been greatly improved, Ning Chen can easily distract himself from two tasks, and can easily handle two completely different things at the same time.

"Ning Chen, it seems I have more to learn from you in this aspect."

Arriving at the door of the hotel reserved for Tao Zhexuan, Ning Chen parked the car and led Tao Zhexuan to the hotel.

In fact, this hotel was not booked by Ning Chen, but by Shengzhou University. Shengzhou University also hoped that Tao Zhexuan could come to Shengzhou University this time to give a simple mathematics report.

Of course, this matter cannot be forced. It still depends on whether Tao Zhexuan is willing. After all, Tao Zhexuan's original intention of coming to Shengzhou was just to meet Ning Chen.

After checking in, the two went to the hotel room and continued chatting about the math problems they had just finished talking about.

"Ning Chen, I'm a little curious as to how you came up with these wild ideas. To be honest, I had never thought of similar ideas before I saw your proof methods."

Hearing Tao Zhexuan's question, Ning Chen also felt a little unable to answer.

"Professor Tao, it's hard to say. Sometimes inspiration appears naturally. I'm also very curious about how you won the IMO gold medal at the age of 13."

"Haha, it's really hard to say. In fact, when I participated in IMO, I also experienced some setbacks. The first time I participated in IMO, I only won a bronze medal. This time I felt very disappointed."

Ning Chen also knew something about this matter. Normally speaking, only winning a bronze medal in his first IMO participation was not an ideal result.

However, when Tao Zhexuan participated in IMO for the first time, he was only ten years old!

Many of the other students participating in IMO are already 17 or 18 years old, almost considered adults.

Ning Chen remembered that when he was ten years old, he had just learned multiplication and division in mathematics.

Ning Chen had to lament that the gap between people was sometimes much wider than the gap between people and dogs.

The two of them chatted like this for several hours, almost forgetting how fast time passed.

While exchanging mathematical problems with Tao Zhexuan, Ning Chen's mathematical experience was accumulating at a speed visible to the naked eye. This speed was even faster than when Ning Chen and Qiu Cheng were exchanging mathematics.

Perhaps Tao Zhexuan's current achievements in mathematics are not as good as Qiu Chengtong's, but Tao Zhexuan is still very young and his thinking speed is definitely faster than Qiu Chengtong's.

"Ning Chen, do you have any thoughts on the research after the Navier-Stokes equation?"

"I haven't thought of a good starting point yet. This research topic is still more complicated than Qiu Chengtong's conjecture."

"Yes, I think so too. Of course, these two issues are unsolvable for me. I just have some ideas."

Ning Chen heard some hidden meanings from Tao Zhexuan's words and asked quickly:

"Then I would also like to ask Professor Tao if he has any good ideas for continuing to solve the Navier-Stokes equations?"

"Ask for advice, I can't talk about it, so I'll just give you my personal opinion."

Ning Chen listened carefully to Tao Zhexuan's narration, and his brain was thinking quickly.

Tao Zhexuan first told a story about a cat that broke a plate. The general meaning is that after a cat broke the plate, it did not clean up the pieces of the plate itself, but kept replicating itself, letting the copied little ones The cat went to clean up the debris.

But at the end of the copy, a very small cat released an extremely huge amount of energy. While thoroughly cleaning up the mess, the entire cat team also disappeared.

This story sounds very abstract, but Ning Chen quickly understood what Tao Zhexuan wanted to express.

"Professor Tao, you mean that if we give an initial condition, the flowing energy will become smaller and smaller with time, until the energy reaches a certain point in space or time, and the energy will tend to be infinite? "

"Yes, that's roughly what it means. In fact, I have a relatively pessimistic attitude towards completely solving the Navier-Stokes equation. At least I think it is possible that the Navier-Stokes equation does not exist. A smooth solution."

Although Ning Chen and Tao Zhexuan's opinions were not completely consistent on this point, Ning Chen also understood that Tao Zhexuan's opinions had their own theoretical basis.

Moreover, this disagreement is not a complete opposition of opinions. The more disagreement lies in the accuracy of the Navier-Stokes equation.

"Ning Chen, I don't think that there must be no solution to the Navier-Stokes equation. To be more precise, I think that if you just look for such large-scale variables, it will be difficult to find the Navier-Stokes equation. To find solutions to the Navier-Stokes equations, my idea is that we also need to pay attention to the small-scale properties of the equations."