Weak solutions for a hyperbolic system with unilateral constraint and mass loss

被引:18
作者
Berthelin, F
Bouchut, F
机构
[1] Ecole Normale Super, Dept Math & Appl, F-75230 Paris 05, France
[2] CNRS, UMR 8553, F-75230 Paris, France
来源
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2003年 / 20卷 / 06期
关键词
conservation laws with constraint; mass loss; entropy weak product; pressureless gas; sticky blocks;
D O I
10.1016/S0294-1449(03)00012-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider isentropic gas dynamics equations with unilateral constraint on the density and mass loss. The gamma and pressureless pressure laws are considered. We propose an entropy weak formulation of the system that incorporates the constraint and Lagrange multiplier, for which we prove weak stability and existence of solutions. The nonzero pressure model is approximated by a kinetic BGK relaxation model, while the pressureless model is approximated by a sticky-blocks dynamics with mass loss. (C) 2003 Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码:975 / 997
页数:23
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