Chapter 149: NS Equation Research and the Chern Prize in Mathematics

Faculty cafeteria, small round tables.

Zhu Ping said with surprise, "That blonde-haired foreign girl just now is your graduate student?" She's so delicate, how old is she? ”

"16 years old."

Wang Hao added, "That's how the information is written. ”

Zhu Ping suddenly covered her mouth in surprise, and said a little exaggeratedly, "Only 16 years old, graduate school?" ”

Wang Hao simply made a brief introduction, "Graduated from Stanford University, double degree in mathematics and biological sciences." But it's normal, if you know that her whole family is professors, and she has a grandfather who won a Turing Award and served as a vice president of Google, you don't think it's a big deal. ”

His tone was very flat, but what he said was too shocking.

Zhu Ping covered her mouth for a long time and didn't know what to say, and she didn't know how to jump into her thinking, and suddenly asked, "By the way, what did she just say?" I didn't get it. ”

Luo Dayong showed an expression of 'sure enough', and it could be seen that he still exhaled lightly.

Zhu Ping really didn't understand.

She just heard the first sentence say 'you-like-her', which was placed in the scene on the road just now, and immediately felt a little weird and embarrassed.

I didn't understand the last sentence.

Wang Hao was a little surprised, he really didn't expect that his English level was not bad, and he could generally understand it; Luo Dayong is slightly worse, but he can understand the English pronunciation.

Zhu Ping......

Considering that he has no study abroad experience, and his English is only above level 6 and he barely writes essays, it is normal that he does not understand spoken English.

At this time, Luo Dayong also opened his mouth to comment, "That girl...... She has a lot of personality, but she doesn't seem to be very good at talking, her emotional intelligence is a bit problematic, and her judgment is wrong. ”

Zhu Ping looked at Luo Dayong with surprise, and said incredulously, "You actually think that others can't speak?" ”

β€œβ€¦β€¦β€

"What judgment? What did she say? ”

β€œβ€¦β€¦β€

Wang Hao sat on the side of the small cone, listening to the expressions and conversations of the two people, and felt that it seemed a little redundant for him to sit here.

He was wrong.

He was wrong that he shouldn't have come to dinner with the two of them, and that he should have found an excuse to hurry away.

So he immediately sped up his meal, and it only took three minutes to fill his stomach with food.

Drink saliva, get it done, call it a day!

He immediately stood up, walked away two steps and waved his hand behind him, "You eat first, I'm still busy, go first, bye!" ”

……

The new semester is about to begin.

After Helen came to Xihai University, she still took the initiative to contact Wang Hao, and even went to the office to find Wang Hao.

Wang Hao still attaches great importance to Helen, Helen's EQ seems to be relatively low, and her thinking is different from that of normal people, but I have to say that she is indeed very genius.

Wang Hao took out a test paper and asked Helen to answer the question to check her math learning progress, and then found that Helen had a solid foundation.

There are many subjects that are simply difficult to solve.

However, there are still some subjects that are not covered, for example, "Discrete Mathematics" involves difficult content, and Helen cannot answer it at all.

In terms of the content of "Differential Equations", I only understand the basics, and I have not been exposed to advanced knowledge.

She has also not been exposed to interdisciplinary operations, such as the use of functional analysis to solve partial differential equations.

When he found that Helen had a lot of topics that he hadn't done, Wang Hao exhaled lightly.

This shows that Helen is in the 'normal gift' range, and that she has only completed her undergraduate studies at Stanford University, rather than mastering the more difficult math knowledge in advance.

"It's fine!"

"There's not going to be a situation where you can't learn anything!"

If a lot of knowledge is mastered in advance, the subjects of graduate school will lose their meaning to her.

Now she still has a lot to learn.

Wang Hao can also guide her in the same way as other students, instead of taking time out to guide alone.

Of course, another thing is more important, "You must learn Chinese well, you are not required to be fluent like everyone else, but the course must be able to understand." ”

"In universities, there are no other teachers who teach in English, except for English classes."

Helen blinked her eyes wide and said seriously, "I'm studying." ”

Wang Hao stared at Helen's face and found that Zhu Ping's description was indeed correct, and she was indeed very delicate.

Think again about Jeffrey Hinton's face......

"I judged it right before, Helen's appearance is inherited from her *** brain, it seems to be the ...... of the Hindon family"

"I'm so lucky to have inherited all the good genes!"

Wang Hao looked in the mirror, combed the hair in front of him with his hands, and looked at it carefully, "The genes of the old Wang family are also good, they are also very handsome, and their minds are also very good, so there is no need to improve them......"

"Mainly, trying to steal my genes?"

"Don't even think about it!"

……

Back-to-school season.

The students returned to school to prepare for the new semester, and many people began to look through the class schedules and pay attention to Wang Hao's courses, only to find that Wang Hao had left the undergraduate level courses and offered two main courses that were graduate courses.

Li Qun Li Algebra.

Modern Partial Differential Equations.

These two courses, which are difficult at first glance, are not accessible to undergraduate students at all.

Fortunately, Wang Hao also opened an elective course, called "Fundamentals of Theoretical Physics", which belongs to a mathematical physics course, and the Department of Mathematics and the Department of Physics have priority to choose courses.

A lot of students are eyeing this course.

Ding Zhiqiang has no interest in research courses at all, he has been reading the two mathematics textbooks given by Wang Hao all summer, reading all the knowledge points, and doing after-class exercises.

One summer, two highly difficult mathematics subjects......

Ding Zhiqiang felt that his mind was full of all kinds of mathematical symbols, and what he wanted to do most was to relax and play two games, but when he opened his phone, he found that the game was uninstalled without knowing when.

When he was about to download it, he suddenly felt very bored, and found that his preferences seemed to have completely changed.

That simple happiness has already left itself?

Ding Zhiqiang was very frightened by this discovery, and at this moment a shout came from outside, "Ding Zhiqiang, Mr. Wang called you to the teaching and research department of the School of Science." ”

"Huh? Which Mr. Wang? ”

"Teacher Wang Hao!"

Ding Zhiqiang turned on his mobile phone and found that Wang Hao had sent a message, and it had been half an hour.

Because he hadn't replied, he found someone to come and shout.

"I'll ...... right away," Ding Zhiqiang responded.

As soon as he thought about it, he knew that what Wang Hao was going to do when he was looking for himself must be to inspect the study progress during the summer vacation.

When he was on the road, Ding Zhiqiang recalled the 'cruel' holiday, and the more he thought about it, the more unwilling he became, he didn't want to go on like this forever, and he hoped to find the happiness he once had.

He came up with a solution, "A lot of people are expecting a lot from me now, if my results are disappointing......

"When Mr. Wang Hao inspected, I deliberately did something wrong, so that he might be disappointed? And then just give up on me? ”

Ding Zhiqiang thought carefully, and his eyes suddenly lit up.

Department.

Wang Hao waited with several teachers.

They had just finished attending an internal meeting of the Faculty of Science on course assignment and teaching matters.

After the meeting ended, Wang Hao remembered Ding Zhiqiang and decided to wait in the teaching and research department to conduct a small investigation of Ding Zhiqiang.

Several other people were also very interested in listening, so they helped to come up with several topics corresponding to the content, including professors Zhou Qingyuan and Huang Pei from the School of Science.

They wanted to see what Wang Hao's 'excellent students' looked like.

Ding Zhiqiang is here.

He didn't expect to see so many people, including several professors, and he suddenly felt very nervous.

"Teacher Wang......" Ding Zhiqiang shouted.

Wang Hao asked Ding Zhiqiang to sit down and took out the questions from the teachers just now, "You can do these questions and see how many points you can get." ”

Ding Zhiqiang was mentally prepared, he picked up the pen and made it.

Wang Hao and the other teachers consciously did not bother, so they simply stood at the door and said, "I was at the end of last semester and gave him two textbooks, one is "Functional Analysis" and the other is "Modern Partial Differential Equations". ”

"Functional Analysis" is better, it is not so difficult to understand, "Modern Partial Differential Equations" is more difficult, and self-study can be done if you can score half of the test."

This is Wang Hao's judgment.

Other teachers also nodded when they heard it, such as "Modern Partial Differential Equations", some of the topics are around, even they feel a headache, and it is really powerful to understand the content of the textbook by self-study.

Ding Zhiqiang didn't know what the teachers outside were talking about, and in his understanding, the math problem was excellent if it was all right.

He studied hard for two months, most of the knowledge points have been passed, the questions on the test paper are very familiar, think about it carefully, many questions can be solved, it is estimated that he can get more than 70 points.

However, Ding Zhiqiang didn't want to answer the questions well.

Therefore, several difficult questions were only done a little bit, and the latter deliberately did not continue to answer, and the first two questions were completely made.

He estimated that he would definitely fail the exam.

Then he turned in the papers.

"Mr. Wang, I'm done." Ding Zhiqiang handed the test paper to Wang Hao, lowered his head and posed as 'lost'.

Wang Hao picked up the test paper and looked at it carefully, and scored each question, adding up to a total of 51 points.

"51 points!" Wang Hao is very satisfied, because expectations have been met.

The other teachers also thought it was very good.

But of course Wang Hao will not say this, sometimes students need encouragement, but sometimes they also need to use negation to achieve their goals, so that students can have more opportunities for growth.

Wang Hao looked at Ding Zhiqiang and said solemnly, "51 points, fail!" ”

Ding Zhiqiang continued to lower his head and muttered, "Teacher Wang, I tried my best, but I feel that I am not suitable for learning mathematics, for me, mathematics is too difficult." ”

"That's right."

Ding Zhiqiang was overjoyed when he heard it.

Wang Hao said, "You are just self-taught, and it is not easy to get half of the score, so this semester, you will follow the "Functional Analysis" course of the mathematics major, as well as the "Modern Partial Differential Equations" of the graduate student, which is my class. ”

After he finished speaking, he added, "I looked at the curriculum of your senior physics year, and it doesn't conflict. ”

β€œβ€¦β€¦β€

Ding Zhiqiang finally raised his head, he looked at Wang Hao with wide eyes, and he didn't expect this result at all.

What?

Do you have to follow the class because you don't get good results?

A young teacher next to him shouted, "Functional Analysis in the Department of Physics is my class, Professor Wang, don't worry, I will take care of him." ”

"Okay, thank you."

Wang Hao listened to the voice and looked over, feeling that the other party seemed to be a little familiar, and he couldn't name it for a while.

The two agreed.

Ding Zhiqiang had no right to speak at all, he walked out of the teaching and research room with a dull gaze, thought about it carefully, and immediately slapped himself heavily.

"Smack!"

"Why didn't you answer the questions well? If you can get 70 points, you don't have to follow the class! ”

He scratched his scalp with remorse.

……

The next morning, Wang Hao went to the office of the comprehensive building.

When I arrived in the corridor, I happened to meet Zhang Zhiqiang, who was about to enter.

Zhang Zhiqiang grabbed Wang Hao, pointed to the location at the door and said, "There is a newcomer." It is said that he is a student in the Faculty of Science, a student led by Professor Huang Pei. ”

Wang Hao followed and looked over and found that it was the teacher who preached "Functional Analysis" yesterday.

Zhang Zhiqiang complained, "Looking stunned, he doesn't speak, he is here, why should he be enthusiastic?" ”

"What's his name?" Wang Hao asked again, thinking, "It seems to be surnamed Sun ......"

"You know? Sun Jian! ”

"Oh!"

As soon as Zhang Zhiqiang said his name, Wang Hao suddenly remembered.

They entered the door together.

Sun Jian was tidying up his desk, looked up and saw Wang Hao walking in, and immediately greeted him and said, "Teacher Wang, you are here, I will be in the same office with you in the future, please advise me." ”

"Welcome! Welcome! ”

Wang Hao also greeted him twice, and then looked at Zhang Zhiqiang, with the meaning in his eyes, 'Isn't this very enthusiastic?' ’

Zhang Zhiqiang grinned.

Sun Jian was indeed very enthusiastic, after he cleaned up his desk, he came over and said a few words to Wang Hao, and when he saw that the coffee cup on Wang Hao's table was empty, he immediately went to his bag and found a bag of instant coffee.

He helped Wang Hao make coffee, and when he brought it over, he said, "Professor Wang, my coffee was purchased by my classmates, South America, a small package of more than 20, you can't buy it in China, you can taste it." ”

Wang Hao felt a little uncomfortable, but he still put it to his mouth and tasted it, and nodded with satisfaction, "The taste is very strong." ”

"If you like it!"

Sun Jian also took the opportunity to say, "I just stayed in school this semester, so please give me more advice if you have any questions." ”

"I recently studied your Monge Ampère equation research, and the analytical methods in it are really superb, and after reading it, I feel that there are many things that can be understood......"

Sun Jian kept talking with a tone of adoration.

Beside.

Zhang Zhiqiang looked at the coffee on Wang Hao's table, thinking about words such as 'more than 20 yuan, which cannot be bought in China', and then saw the enthusiastic Sun Jian, compared with his attitude towards himself just now, and muttered with a depressed voice, "I am also a professor...... My coffee cup is also empty, and I want to drink it without making a coffee......"

Luo Dayong turned his head, operated on his mobile phone, and then handed the screen to Zhang Zhiqiang.

Zhang Zhiqiang was suddenly a little surprised, "You found it?" What's that coffee? ”

Luo Dayong said, "Didn't you just say that you can drink it directly without making coffee?" Look, a whole box of coffee, a box of twenty-four bottles, one hundred and two, an average of five yuan a bottle, is not expensive, and the courier can still deliver it upstairs. ”

After he finished speaking, he added, "When you buy it, you can put it on my side, and we will drink it together." ”

Zhang Zhiqiang's expression was fixed on his face, and he once again experienced Zhu Ping's feelings.

This guy is so badly beaten!

……

Life in the office hasn't changed because of the arrival of new people, everyone is still studying and researching most of the time.

Wang Hao is the same.

He formally devoted himself to the study of the NS equation, not to directly solve the problem of the NS equation, but to study in this direction.

The NS equation is a general direction and is directly related to fluid mechanics.

Fluid mechanics can be simply understood as the study of fluids based on Newtonian mechanics, and the NS equation is the column formula of Newton's second law for fluids.

The application of fluid mechanics can be said to be multifaceted, including mechanical, civil, chemical and biomedical engineering, geophysics, oceanography, meteorology, astrophysics...... Fluid mechanics is used in many disciplines, and the very important NS equation is also widely used.

Wang Hao has not yet found the direction of the first research.

Of course, he wants to solve the biggest problem directly, but in reality, it is impossible to solve the biggest problem directly without a good foundation.

Wang Hao's chosen research method is to look at some mathematical content related to fluid mechanics, and also read some papers in the direction of NS equations.

There are also several papers on 'Proving the Regularity of the NS Equation'.

Of course, those are not recognized, some of them are published in foreign journals, and they are also some small mathematics journals, and they can even be published for money.

Some papers can also be searched in SCI.

Wang Hao looked at it carefully, and could only say that the idea was very referential, and the proof was not perfect.

One of the most interesting papers is about solving approximate solutions to NS equations.

This paper is very influential because it has a very wide range of applications.

The approximate solution of the ns equation by numerical method is a very important research direction, because it is very practical and can be used in many aspects.

It is very simple to understand that when a very important equation cannot be solved exactly, it is naturally very important to be able to find an approximate solution.

For example, the mechanics of a submarine in water are calculated to refer to the design of the shape of the submarine.

If it is not possible to arrive at the most accurate and minimum force, it can also be valuable to find an approximation.

Wang Hao roughly browsed the content and glanced at the author of the paper--Fu Chunjie, Sudong University.

He looked at it carefully.

……

Center for Mathematics, Sudong University.

Fu Chunjie is the director of the mathematics center, he is fifty-two years old, barely enough to be an 'old professor', but he still considers himself to belong to the young and middle-aged group.

Because he wanted to win the prize, the 'Chern's Mathematics Prize'.

The "Chern-Chern Prize in Mathematics" is very popular, and the domestic mathematics community recognizes this award as the "academician reserve".

As long as you can be awarded the Chern's Mathematics Award, you will be able to enter the list of academicians next year.

Otherwise, there are no international mathematics awards, and there are no domestic heavyweight awards, and if you want to be nominated by academicians, few mathematics academicians are willing to recommend.

At this time, Fu Chunjie was complaining to an old academician, "Academician Liu, tell me, this year, I was able to win the award steadily, but there was a Wang Hao, how old is he?" ”

"When is it not possible to win an award in your twenties? Does it have to be this year? ”

"The math club guys, I really don't know what's going on."

Liu Yuqun shook his head and said, "Isn't it still undecided?" I don't know exactly who it is, but it could be you. ”

"Moreover, Wang Hao's results are high, a Kakutani conjecture proof is released, how can it be compared?"

Of course, Fu Chunjie knows that he can't compare with the big results, but he has studied mathematics for decades, published hundreds of papers, and has some top results.

For example, the study of the approximate solution of the NS equation.

After this research came out, he was invited to give a presentation at the International Congress of Mathematicians.

Fu Chunjie was still dissatisfied, "The Kakutani conjecture is indeed famous, but it is not practical. ”

Liu Yuqun said, "Even if you don't talk about the Kakutani conjecture, people still have the research on the Mersen prime and the Artin conjecture." Some time ago, his mathematical analysis was also published in the journal Nature, and in terms of big results, you will definitely not be able to compare. ”

"Of course, we must recommend you, but if you really can't win the award, you can't help it."

"One of your advantages now is that you have high qualifications, and the other is that you have strong research and applicability in the NS equation."

"Now, qualifications, to put it bluntly, it's useless, and I don't dare to say anything about this thing."

Liu Yuqun is old, but he still understands the current situation.

If you put it a few decades ago, qualifications were still very useful, and it is certainly not comparable to a young man who has been engaged in mathematical research for decades.

Now is not the era of seniority, saying that a person wins a prize because of high qualifications, it is estimated that he will be scolded for being 'talentless' and 'stupid', and it is very reasonable, "You have such high qualifications, why are the results not as good as others?" ”

When the time comes, the reputation of the person who talks about it will stink on the street.

Therefore, at least on the surface, the award still depends on personal achievements, and Fu Chunjie's only advantage is that the application value of the results is relatively high.

Nowadays, many studies of fluid mechanics will use the approximate solution method he has developed.

However, from the perspective of mathematical development and contribution, the application value is a pull item.

According to the ideas of the top mathematicians, what is the value of the application?

Isn't it engineering?

The study of mathematical theory is the most important, and the application is fundamentally in the field of 'engineering talents', and has nothing to do with mathematical research.

Therefore, it is difficult for Fu Chunjie to win the award.

The Chern Prize in Mathematics is selected once every two years, and two people are selected at a time.

Now there are three people who have the best chance of winning the award, one is Wang Hao, one is Fu Chunjie, and the other is Zhong Mingchu, the head of the Department of Mathematics of Donggang University.

Fu Chunjie can fight with Wang Hao, who 'suddenly appeared', but in the face of Zhong Mingchu, he was really crushed in all directions.

achievements, contributions, fame, status, qualifications, and even connections, backstage ...... The only advantage he has is his age, which is four years older than Zhong Mingchu, but his age can obviously only be a pull point.

even said that even Zhong Mingchu didn't want Fu Chunjie to be awarded the award.

The human heart is very complicated.

If Fu Chunjie is awarded the award, and it is rumored that Wang Hao did not win the award, then Zhong Mingchu, like Fu Chunjie, may become the target of public opinion attacks.

Wang Hao didn't rate?

Solving the Kadotani conjecture, the people who will win the international mathematics prize immediately have not been awarded the domestic mathematics prize?

So what are the levels of the two winners?

What are the results?

At that time, Zhong Mingchu and Fu Chunjie will definitely be questioned together, even if there are some good results, they will be compared with Wang Hao's achievements.

Naturally, the gap is obvious.

In this situation, Zhong Mingchu may hope that Fu Chunjie can be awarded the award?

Therefore, Fu Chunjie's hope for the award is very slim......