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

共 50 条

[1] Global Existence of Shock Front Solution to 1-D Piston Problem for Compressible Euler Equations
Min Ding
Journal of Mathematical Fluid Mechanics, 2018, 20 : 2053 - 2071
[2] Global Existence and Stability of Shock Front Solution to 1-D Piston Problem for Exothermically Reacting Euler Equations
Kuang, Jie
Zhao, Qin
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2020, 22 (02)
[3] Global Existence and Stability of Shock Front Solution to 1-D Piston Problem for Exothermically Reacting Euler Equations
Jie Kuang
Qin Zhao
Journal of Mathematical Fluid Mechanics, 2020, 22
[4] Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations
Ding, Min
Kuang, Jie
Zhang, Yongqian
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (02) : 1228 - 1264
[5] Global existence of shock front solution to axially symmetric piston problem in compressible flow
Chen, Shuxing
Wang, Zejun
Zhang, Yongqian
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2008, 59 (03): : 434 - 456
[6] Global existence of shock front solution to axially symmetric piston problem in compressible flow
Shuxing Chen
Zejun Wang
Yongqian Zhang
Zeitschrift für angewandte Mathematik und Physik, 2008, 59 : 434 - 456
[7] Global existence of shock front solutions in 1-dimensional piston problem in the relativistic Euler equations
Xu, Yulan
Dou, Yanping
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2008, 59 (02): : 244 - 263
[8] Global existence of shock front solutions in 1-dimensional piston problem in the relativistic Euler equations
Yulan Xu
Yanping Dou
Zeitschrift für angewandte Mathematik und Physik, 2008, 59 : 244 - 263
[9] Stability of contact discontinuities to 1-D piston problem for the compressible Euler equations
Ding, Min
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (06) : 3836 - 3863
[10] Existence and stability of rarefaction wave to 1-D piston problem for the relativistic full Euler equations
Ding, Min
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (12) : 6068 - 6108

← 1 2 3 4 5 →