二维抛物方程初边值问题的粘性消失极限

发布时间：2018-06-26 06:08

本文选题：弱边界层 + 强压缩边界层　；参考：《上海师范大学》2017年硕士论文

【摘要】：本文研究的是带有一弱边界层和一可压缩强边界层的二维拟线性粘性方程解的渐近极限性,探讨在边界层存在条件下的渐近等价性。文章的叙述结构安排如下。第一章中首先说明了所要研究的问题,给出了探讨的方程模型以及得出的最终结论。在第二章中,利用匹配渐近分析方法给出近似解的详细构造过程。第三章通过能量估计作稳定性分析。
[Abstract]:In this paper, we study the asymptotic limit of solutions of two-dimensional quasilinear viscous equations with a weak boundary layer and a compressible strong boundary layer, and discuss the asymptotic equivalence under the condition of the existence of the boundary layer. The narrative structure of the article is arranged as follows. In the first chapter, the problems to be studied are explained, and the equation model and the final conclusion are given. In chapter 2, the detailed construction process of the approximate solution is given by using the method of matching asymptotic analysis. In chapter 3, the stability analysis is made by energy estimation.
【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】：O175.26

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