本文選題：擬中性Euler方程組 + Riemann問題��； 參考：《上海師范大學(xué)》2017年碩士論文

【摘要】：本文研究的主要問題是擬中性Euler方程組的Riemann問題及其粘性激波,粘性逼近稀疏波的性質(zhì).本文安排如下,文章共分為四章.在第一章中,簡(jiǎn)單介紹了與本文相關(guān)的守恒律方程組Riemann問題的研究歷史與發(fā)展現(xiàn)狀以及本文的主要內(nèi)容.第二章介紹了雙曲方程組等與本文相關(guān)的知識(shí),以及運(yùn)用它們所要解決的主要問題.第三章分別討論了擬中性Euler方程組Riemann問題的1-激波,2-激波和1-稀疏波,2-稀疏波的性質(zhì).第四章證明了帶粘性的擬中性Euler方程組Riemann問題粘性激波和粘性逼近稀疏波的性質(zhì).
[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.
【學(xué)位授予單位】：上海師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O175
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本文編號(hào)：1981044