Global Existence of Shock Front Solution to 1-D Piston Problem for Compressible Euler Equations

被引：2

作者：

Ding, Min ^{[1
]}

机构：

[1] Wuhan Univ Technol, Dept Math, Sch Sci, Wuhan 430070, Hubei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2018年 / 20卷 / 04期

关键词：

Piston problem; Compressible Euler equations; Shock wave; Glimm scheme; Interaction of waves; HYPERBOLIC SYSTEMS; LOCAL EXISTENCE;

D O I：

10.1007/s00021-018-0399-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the 1-D piston problem for compressible Euler equations under the assumptions that the total variations of the initial data and the piston velocity are both sufficiently small. By a modified Glimm scheme, we establish the global existence of entropy solutions including a strong shock wave without restriction on the strength.

引用

页码：2053 / 2071

页数：19

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