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

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

So what exactly is this project researching?

The Euler-Poisson equation is the Euler-Poisson equation, which is usually used to describe the transport phenomenon of charged particle flow in semiconductor materials. It consists of the bipolar non-isentropic compressible Euler equations describing the movement of electron flow, and the description of electric field changes. The Poisson equations are coupled together.

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

To explain in one sentence, the research purpose of this project is to use mathematical methods to solve physical problems.

This suits Shen Qi's appetite very well, it's just in time.

According to information, Fudan's scientific research team is working on a project titled "Research Project on Quasi-Neutral Limits of High-Dimensional Non-Isentropic Euler-Poisson Systems".

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

The project number and project name are transparent and open, and can be queried on the official websites of relevant national ministries and research funding agencies.

The project of the sister school has not 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 Mizuki and Fudan seem to be doing similar research projects.

"If Mizuki and Fudan do the same work as us, if they publish the results first, then we will not do it for nothing?" Before officially starting work, Shen Qi thought of a question.

"They all contribute to the progress of the country's science and technology, and there is no such thing as white cadres. Whether it is Yanda University, Shuimu, or Fudan University, whoever can make major scientific breakthroughs will be the hero of the country, and his name will go down in history." Sun Erxiong said with emotion, " Quantum satellites are in the sky, Jiaolong is in the sea, strong science and technology make the country strong, and there must be a chief scientist who is proficient in mathematics in the country's most cutting-edge scientific research team. I am old, and you, Shen Qi, have a bright future. You have Talented in this area, your scientific life will be very long."

"That's true. After all, Shuimu and Fudan are prestigious schools. The rise of Chinese mathematics requires the joint efforts of all Chinese mathematics workers, hand in hand, and heart to heart, to create a better tomorrow together." Shen Qi was deeply impressed. Professor Sun's broad and broad academic Mind is worthy of respect, why everyone wants to go to a famous school, the structure and academic atmosphere of a famous school is here.

"Of course, I hope that our Yanda team 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 about mathematical physics. It is just right for you. You can accumulate academic capital and use it as a practice. This topic will be promoted in the form of project management. It has just been approved and has entered implementation. stage. I am the leader of the project team, and I 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 will work hard!" Shen Qi was high-spirited, it was the first time he was doing research on a major subject, and his combat effectiveness was beyond the mark: "Who are the other members of our team?"

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

"Boss Sun, are you not letting me, the chief researcher An Sheng, spend the summer vacation?"

"Can't take on this project with your ability?"

"No, I will do my best!"

With an attitude of being responsible to the country and a firm determination for scientific research, Shen Qi took on the heavy responsibility. He needed this subject, the built-in system settings, and the scientific research experience in the real society outside.

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

Through intelligence analysis, Shen Qi found that the related research on the Euler-Poisson model of semiconductors has been increasing year by year in the past ten years. There are teams at home and abroad to study this field, which is considered a small hot spot.

"Most of the teams that have published research results are based on constant steady-state solutions." After analyzing the international and domestic situations, Shen Qi made a preliminary judgment: "However, the information about the scientific research teams of Shuimu and Fudan is very limited. From the limited information I can only speculate that they are trying to study the isentropic Euler-Poisson equations of the physical boundary dissipation term, and it is very likely that they have obtained the overall existence of smooth solutions near non-constant horizontal solutions. Therefore, Shuimu and Fudan go ahead."

"It doesn't matter. At present, there is no relevant research on the stability of the non-constant equilibrium solution of the bipolar non-isentropic compressible Euler-Poisson equation system. We will start from this aspect." Sun Erxiong made a framework with a macro perspective strategic deployment.

"It's a lot of work, and it can't be finished in a year or so." Shen Qi realized that this might be his first and last major project before going abroad.

Scientific research is not a show, and it is impossible to produce results in one or two months, not counting the implementation link, and it takes several months just to declare and approve the results.

The overall research funding of the "Research Project on Non-Constant Equilibrium Solutions of Bipolar Non-isentropic Euler-Poisson Equations" is 652,400 yuan, which is distributed according to the progress of the project.

After the establishment of the project, 10% of the funds have been in place. In the hands of Sun Erxiong, it is more than 60,000 yuan.

There is no factor in the purchase of equipment for this project. In fact, as long as the academic and theoretical ability of the person doing the project is strong enough, 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 symmetry technique and the space-time mixed derivative iteration method to solve the periodic problem on the three-dimensional space ring.

In other words, it is to use super-high mathematical skills to help colleagues in the physics community create a new theoretical basis for the study of semiconductor materials, and a new mathematical model to solve physics application problems.

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

In today's academia, only mathematicians dare to take over major projects under the premise of not much research funding.

"We are the heroes of the times, and we used more than 600,000 yuan to solve practical problems of more than 600 million yuan." Shen Qi counted, this project is really going to produce results, the country should give our team an award, right?

"Shen Qi, you will independently undertake the first half of the research work on this project. We will follow the rules. This is your research funding." Sun Erxiong issued 5,000 yuan of research funding to Shen Qi, and reminded: "The purchase of the project is related to For scientific research materials, remember to invoice."

Shen Qi received the first phase of scientific research funding, 5,000 yuan can buy a cart of stationery such as pens, paper, erasers, etc. These are the scientific research materials he can think of at present.

"I'll stay in school for the summer vacation to do research projects." Shen Qi called home, this decision was just made. He only has time for the summer vacation, and he has to take the TOEFL and GRE exams when the next semester starts, and take credits for a physics degree.

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

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

The first section is preparatory work, based on the Euler equation, rewriting a series of matrix forms. It's purely mathematical work, and the calculations are huge.

The second block is an estimate of the energy required to justify, where physics comes into play.

The third section further gives the iterative relationship. Mathematics and physics are closely intertwined in this section, which is the core section.

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

There is a strong logical connection between the four sections. Each of them is a small topic independently, and it becomes a major topic when they are combined.

"Huh..." After drawing the framework, Shen Qi took a breath of pressure. It took only three to five months for the execution link.

The research results will finally be presented in the form of a thesis. It is estimated that it will take until the end of the year to finish writing a thesis on this major topic.

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

Shen Qi was appointed as the chief researcher of this project. He 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 undergraduate teaching tasks, and the technical director has more mundane duties.

At this moment, Shen Qi's cell phone rang, and Ouye sent a WeChat message: "I'll go home in the afternoon, let's have lunch together."

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 Ouye to the cafeteria.

"Are you going home tomorrow?" Ouye asked.

"I won't go back, there is a project to do." Shen Qi said, taking out the project information from the folder and showing it to Ouye.

"The project funded by the National Natural Science Foundation of China is amazing." Ouye looked at it and yearned for it, and also found a problem: "Such an important project, just two people?"

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