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.
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页码：2053 / 2071
页数：19
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