一个非严格双曲守恒律方程组的黎曼问题及其狄拉克激波解  

Riemann Problem and Delta Shock Wave Solution for a Non-strictly Hyperbolic System of Conservation Laws

作　　者：魏雪峰[1] 沈春[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2016年第2期110-116,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11441002);山东省自然科学基金(ZR2014AM024)

摘　　要：研究了一个2×2的非严格双曲守恒律方程组的黎曼问题,其中在取某些特定的初值时狄拉克激波包含在其黎曼解中.运用相平面分析法来构造该2×2的非严格双曲守恒律方程组的整体黎曼解,并且导出了狄拉克激波的广义Rankine-Hugoniot条件.The Riemann problem for a 2 ×2 non-strictly hyperbolic system of conservation laws was studied. The delta shock wave is involved in the Riemann solution when some specific initial data are taken. The global Riemann solutions were constructed completely for the 2 × 2 non-strictly hyperbolic system of conservation laws by using the method of phase plane analysis. In addition, the generalized Rankine-Hugoniot conditions were derived for the delta shock wave.

关 键 词：狄拉克激波 双曲守恒律 黎曼问题 广义Rankine-Hugoniot条件 

分 类 号：O175[理学—数学]