具一种非光滑初始数据的非齐次拟线性双曲组的整体弱间断解(英文)  

Global Weakly Discontinuous Solutions to the Cauchy Problem with a Kind of Non-smooth Initial Data for Inhomogeneous Quasilinear Hyperbolic Systems

作　　者：郭飞[1] 

机构地区：[1]南京师范大学数学系

出　　处：《工程数学学报》2007年第3期414-430,共17页Chinese Journal of Engineering Mathematics

基　　金：This research is supported by NNSFC (10471075).

摘　　要：本文考虑一阶非齐次拟线性双曲组具有一种非光滑初始数据的Cauchy问题。在非齐次项满足匹配条件的假设下,得到了此问题存在唯一的整体弱间断解的充要条件。Under the assumption that the inhomogeneous term satisfies the matching condition, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solutions to the Cauchy problem with a kind of non-smooth initial data for inhomogeneous quasilinear hyperbolic systems.

关 键 词：非齐次拟线性双曲组 初值问题 整体弱间断解 弱线性退化 匹配条件 

分 类 号：O175.27[理学—数学]