Formation and propagation of singularities in one-dimensional Chaplygin gas

被引：25

作者：

Kong, De-Xing ^{[1
]}

Wei, Changhua ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 80卷

关键词：

System for Chaplygin gas; Linearly degenerate characteristic; Blowup; Singularity; delta-shock; CONSERVATION; EQUATIONS; SYSTEMS; SHOCKS;

D O I：

10.1016/j.geomphys.2014.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the formation and propagation of singularities for the system for one-dimensional Chaplygin gas, which is described by a quasilinear hyperbolic system with linearly degenerate characteristic Fields. The phenomena of concentration and the formation of "delta-shock" waves are identified and analyzed systematically for this system under suitably large initial data. In contrast to the Rankine-Hugoniot conditions for classical shock, the generalized Rankine-Hugoniot conditions for "delta-shock" waves are established. Finally, it is shown that the total mass and momentum related to the solution are independent of time.(C) 2014 Elsevier B.V. All rights reserved.

引用

页码：58 / 70

页数：13

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