Initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves  

作　　者：姚爱娣 盛万成 

机构地区：[1]Department of Mathematics, College of Sciencesl Shanghai University, Shanghai 200444, P. R. China

出　　处：《Journal of Shanghai University(English Edition)》2008年第4期306-310,共5页上海大学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No.10671120）

摘　　要：For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P＇s results by taking a suitable entropy-flux pair （Journal of Differential Equations, 1988, 71（1）： 93-122）. The solutions of the initial-boundary value problem for the system are constructively obtained, in which initial-boundary data are in piecewise constant states. The delta-shock waves appear in their solutions.For a nonlinear hyperbolic system of conservation laws, the initial-boundary value problem is concerned with the boundary conditions. A boundary entropy condition is derived based on Dubois F and Le Floch P＇s results by taking a suitable entropy-flux pair （Journal of Differential Equations, 1988, 71（1）： 93-122）. The solutions of the initial-boundary value problem for the system are constructively obtained, in which initial-boundary data are in piecewise constant states. The delta-shock waves appear in their solutions.

关 键 词：initial-boundary value problem delta-shock wave linearly degenerated entropy-flux pair entropy boundary inequality 

分 类 号：O1[理学—数学]