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.
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页码：323 / 348
页数：26
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