拟中性Euler方程组的Riemann问题

发布时间：2018-06-05 06:50

  本文选题：拟中性Euler方程组 + Riemann问题　； 参考：《上海师范大学》2017年硕士论文

【摘要】：本文研究的主要问题是拟中性Euler方程组的Riemann问题及其粘性激波,粘性逼近稀疏波的性质.本文安排如下,文章共分为四章.在第一章中,简单介绍了与本文相关的守恒律方程组Riemann问题的研究历史与发展现状以及本文的主要内容.第二章介绍了双曲方程组等与本文相关的知识,以及运用它们所要解决的主要问题.第三章分别讨论了拟中性Euler方程组Riemann问题的1-激波,2-激波和1-稀疏波,2-稀疏波的性质.第四章证明了带粘性的拟中性Euler方程组Riemann问题粘性激波和粘性逼近稀疏波的性质.
[Abstract]:The main problem studied in this paper is the Riemann problem of quasi neutral Euler equations and the properties of viscous shock wave and viscous approximation sparse wave. This article is arranged as follows, the article is divided into four chapters. In the first chapter, we briefly introduce the history and development of the Riemann problem of conservation law equations related to this paper, as well as the main contents of this paper. The second chapter introduces the knowledge of hyperbolic equations and the main problems to be solved by using them. In chapter 3, we discuss the properties of 1-shock wave 2-shock wave and 1-sparse wave 2-sparse wave for the Riemann problem of quasi neutral Euler equations, respectively. In chapter 4, we prove the properties of viscous shock waves and viscous approximation sparse waves for the Riemann problem of quasi neutral Euler equations with viscosity.
【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175
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本文编号：1981044