Delta Shock Waves as Limits of Vanishing Viscosity for 2-D Steady Pressureless Isentropic Flow

被引：11

作者：

Cheng, Hongjun ^{[1
]}

Yang, Hanchun ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2011年 / 113卷 / 03期

关键词：

Steady pressureless isentropic flow; Delta shock wave; Generalized Rankine-Hugoniot relation; Entropy condition; Numerical simulations; 2-DIMENSIONAL RIEMANN PROBLEM; STREAMLINE GODUNOV SCHEME; SYSTEMS;

D O I：

10.1007/s10440-010-9602-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Riemann problem for the two-dimensional steady pressureless isentropic flow in gas dynamics is solved completely. The Riemann solutions contain two kinds: delta-shock solutions and vacuum solutions. Under suitable generalized Rankine-Hugoniot relation and entropy condition, the existence and uniqueness of delta-shock solutions is established. Moreover, the stability of delta-shock solution to a reasonable viscous perturbation is proven. The numerical results coinciding with the theoretical solutions are also presented.

引用

页码：323 / 348

页数：26

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