The Riemann Problem with Delta Data for Zero-Pressure Gas Dynamics

被引：0

作者：

Li WANG ^{[1
]}

机构：

[1] Department of Mathematics and Physics, Shanghai Dianji University

来源：

Chinese Annals of Mathematics(Series B) | 2016年 / 37卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Zero-pressure gas dynamics; Generalized Rankine-Hugoniot conditions; Delta-shock;

D O I：

暂无

中图分类号：

O354 [气体动力学（可压缩流体力学）];

学科分类号：

080103 ; 080704 ;

摘要：

In this paper, the Riemann problem with delta initial data for the onedimensional system of conservation laws of mass, momentum and energy in zero-pressure gas dynamics is considered. Under the generalized Rankine-Hugoniot conditions and the entropy condition, we constructively obtained the global existence of generalized solutions which contains delta-shock. Moreover, the author obtains the stability of generalized solutions by making use of the perturbation of the initial data.

引用

页码：441 / 450

页数：10

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