THE RIEMANN PROBLEM WITH DELTA INITIAL DATA FOR THE ONE-DIMENSIONAL CHAPLYGIN GAS EQUATIONS  

作　　者：王振 张庆玲 

机构地区：[1]Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences [2]School of Mathematics and Computer Sciences,Jianghan University

出　　处：《Acta Mathematica Scientia》2012年第3期825-841,共17页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China (10871199)

摘　　要：In this article, we study the Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations. Under the generalized Rankine-Hugoniot conditions and the entropy condition, we constructively obtain the global existence of generalized solutions that explicitly exhibit four kinds of different structures. Moreover, we obtain the stability of generalized solutions by making use of the perturbation of the initial data.In this article, we study the Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations. Under the generalized Rankine-Hugoniot conditions and the entropy condition, we constructively obtain the global existence of generalized solutions that explicitly exhibit four kinds of different structures. Moreover, we obtain the stability of generalized solutions by making use of the perturbation of the initial data.

关 键 词：Chaplygin gas equations Riemann problem delta-shocks generalized Rankine-Hugoniot conditions generalized solutions 

分 类 号：O411.1[理学—理论物理]