The project given by Sun Erxiong is called "Research Project on Non-Equilibrium Solutions of Bipolar Non-Isentropic Euler-Poisson Equations".

This is a National Natural Science Foundation of China funded project, project number 1137XXXX.

So what exactly is this project studying?

The Euler-Poisson equation, also known as the Euler-Poisson equation, is commonly used to describe the transport phenomenon of charged particle flow in semiconductor materials, and is formed by coupling the bipolar non-isentropic compressible Euler equations describing the motion of electron flow and the Poisson equations describing the change of electric field.

It describes the electrons and ions, density and velocity, absolute temperature, electric field potential, doping concentration, differential pressure, energy, and many other elements in semiconductor materials.

In one sentence, the purpose of this project is to solve physics problems mathematically.

This is very much in line with Shen Qi's appetite, and it came at the right time.

According to the data, the research team at Fudan is working on a project called "Research Project on the Quasi-Neutral Limit of High-Dimensional Non-Isentropic Euler-Poisson Systems".

Coincidentally, the research team of Mizuki University applied for a project at about the same time, the "Euler-Poisson System High-Dimensional Geopotential Flow Research Project".

The project number and project name are transparent and open, and can be found on the official websites of relevant national ministries and commissions and scientific research fund institutions.

The project of the sister school has not yet been completed, and the paper recording the research results has not been published, but Sun Erxiong and Shen Qi can probably guess what the sister school is doing. The mathematics teams of Shuimu and Fudan seem to be working on similar research projects.

"If Shuimu and Fudan do the same work as us, if they publish the results first, then we won't do it in vain?" Before the official start of construction, Shen Qi thought of a question.

"They are all contributing to the country's scientific and technological progress, and there is no such thing as doing it in vain. Whether it is Yanda, Shuimu or Fudan, whoever can make a major breakthrough in scientific research will be the hero of the country and will go down in history. Sun Erxiong said angrily, "The quantum satellite is in the sky, the Jiaolong is in the sea, and the country is strong when science and technology are strong, and in the country's most cutting-edge scientific research team, there must be a chief scientist who is proficient in mathematics." I'm old, and you, Shen Qi, have a bright future, you have talent in this area, and your scientific research life will be very long. ”

The rise of Chinese mathematics requires the joint efforts of all Chinese mathematicians, hand in hand, heart to heart, and create a better tomorrow together. Shen Qi was deeply infected, Professor Sun's broad and broad academic mind is worthy of respect, why everyone wants to study in a famous school, the pattern and academic atmosphere of a famous school are placed here.

"Of course, I hope that our team at Yanda will be the first to publish the research results. Sun Erxiong added.

Shen Qi: "......"

"Shen Qi, don't you want to focus on mathematical physics, this topic is mathematical physics, just right for you, you can accumulate academic capital, and you can practice it. This project will be promoted in the form of project management, and the project has just been established and has entered the implementation stage. I am the leader of the project team and am fully responsible for this project, and you, Shen Qi, are the chief researcher of the project team, I hope you will work hard. Sun Erxiong encouraged.

"Okay, I'll work hard!" Shen Qi was highly motivated, and for the first time he did major research, his combat effectiveness was outstanding: "Who are the other members of our team?"

"No, just the two of us. Sun Erxiong said.

"Boss Sun, you're not going to let me, the chief researcher, spend the summer vacation, right?"

"You can't take on this project with what you're capable of?"

"No, I'm going to do my best!"

In line with the attitude of being responsible for the country and the firm determination of scientific research, Shen Qi took on the important task, he needed this topic, the built-in system setting, and the scientific research experience in the external real society.

Next, Shen Qi and Sun Erxiong discussed the content of the framework design of the topic.

Through intelligence analysis, Shen Qi found that the research on the semiconductor Euler-Poisson model has been increasing year by year in the past decade, and there are teams at home and abroad to study this field, which is a small hot topic.

"Most of the published research teams have focused on constant steady-state solutions. After analyzing the international and domestic situation, Shen Qi made a preliminary judgment: "However, the information about the research teams of Shuimu and Fudan is very limited, and from the limited information, I can only speculate that they are trying to study the Euler-Poisson equations of the isentropy of the dissipation term of the physical boundary, and it is very likely that they have obtained the overall existence of the smooth solution near the non-digit horizontal solution." So Mizuki and Fudan are in front. ”

"It doesn't matter, there is no relevant research on the stability of non-equilibrium solutions of bipolar non-entropic compressible Euler-Poisson equations, so let's start with this. Sun Erxiong made a framework strategic deployment with a strategic vision from a strategic position.

"It's a lot of work, and I can't finish it in a year and a half. Shen Qi realized that this could be his first and last major project before going abroad.

Scientific research is not a trick, it is impossible to produce results in one or two months, not counting the implementation link, just the results of the declaration, approval of a few months.

The overall scientific research fund of the "Research Project on Non-Equilibrium Solutions of Bipolar Non-Isentropic Euler-Poisson Equations" is 652,400 yuan, which will be distributed according to the progress of the project.

After the project was approved, 10% of the funds have been put in place, in the hands of Sun Erxiong, more than 60,000 yuan.

There is no instrument and equipment purchase factor in this project, in fact, as long as the academic theoretical ability of the person doing the project is strong enough, the results can be produced without doing experiments.

This is also the main reason why Shen Qi dared to take on this job, the core execution logic of this project is to use the technique of symmetry and the iterative method of mixed derivatives of space-time to solve the periodic problem on the three-dimensional space ring.

In other words, it is to use ultra-high mathematical skills to help colleagues in the physics community innovate a new theoretical basis for semiconductor material research and a new mathematical model to solve physical application problems.

In the process of project execution, the individual's theoretical research ability is more important than the equipment.

In today's academic circles, only mathematicians dare to take on major projects under the premise of small scientific research funds.

"We are the heroes of the times, using more than 600,000 yuan to solve practical problems of more than 600 million. Shen Qi pinched his fingers and calculated, this project is really going to bear fruit, and the country has to give our team an award, right?

"Shen Qi, you will independently undertake the research work of the first half of this topic, we will do things according to the rules, this is your scientific research funding. Sun Erxiong sent 5,000 yuan of scientific research funds to Shen Qi, and reminded: "When purchasing project-related scientific research materials, remember to issue invoices." ”

Shen Qi accepted the first phase of scientific research funds, and 5,000 yuan could buy a cart of pens, paper, erasers and other stationery, and these are the scientific research materials he can think of at present.

"I stayed on campus for the summer to do research projects. Shen Qi called home, this decision was just made. He only has time for the summer vacation, and when the next semester starts, he will have to take the TOEFL and GRE to study for the credits of the physics degree.

In July, students from the Department of Mathematics went home one after another.

Shen Qi stayed alone in the dormitory, and he pulled out a logical framework, and the content of this part of the project he undertook had been roughly planned, and it was generally divided into four research sections.

The first section is preparatory work, based on Euler's equations, to rewrite a series of matrix forms. This is purely mathematical work, and the amount of calculation is enormous.

The second section is the energy estimation required to prove that physics begins to step in.

The third section goes on to give the iterative relationship, where mathematics and physics are closely intertwined, which is the most central section.

The fourth section gives a verification estimate through iteration to prove the overall existence of the solution, that is, the section that closes the work, discusses the results, and invites merit and rewards.

There is a strong logical correlation between the four sections, each of which is a small topic independently, and together it becomes a major topic.

After "Hu ......" finished pulling the frame, Shen Qi took a breath under great pressure, and the execution link alone could not be done in three or five months.

The results of the research will be presented in the form of a thesis, and it is estimated that the paper on this major topic will be completed by the end of the year.

In the project team, Sun Erxiong is the team leader, the project host, and the boss, in charge of both transactional and technical business.

Shen Qi was appointed as the chief researcher of this project, and is the second-in-command of the project, the technical director, and is in charge of overcoming technical problems.

This team can't just have the boss and the technical director, the boss also takes care of the teaching tasks of undergraduates, and the technical director has more mundane affairs.

At this time, Shen Qi's mobile phone rang, and Ou Ye sent a WeChat message: "I'll go home in the afternoon and eat together at noon." ”

Shen Qi carried the folder and walked towards the girls' dormitory building.

Ouye stood downstairs, pulling a small suitcase.

"Let's eat in the cafeteria, I don't want to go out. Shen Qi took Ou Ye to the cafeteria.

"You're going home tomorrow?" asked Ouye.

"Don't go back, there are projects to do. Shen Qi said, taking out the project information from the folder and showing it to Ou Ye.

"The National Natural Science Foundation of China funded project is amazing. Ou Ye looked at it and yearned for it, and also found a problem: "Such a major topic, just two people to do it?"