具有非凸条件的单个守恒律初边值问题整体弱熵解的结构  

Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions

作　　者：崔慧萍[1] 刘红霞[2] 

机构地区：[1]广东药学院基础学院数学教研室,广东广州510006 [2]暨南大学数学系,广东广州510632

出　　处：《暨南大学学报（自然科学与医学版）》2007年第1期10-14,共5页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：国家自然科学基金项目(10571075);广东省自然科学基金项目(04010473)

摘　　要：在流函数具有有限个拐点,初始值为两段常数和边界值为常数的条件下,研究非凸单个守恒律的初边值问题整体弱熵解的结构、初等波与边界的相互作用情况以及弱熵解在边界附近的性态.The structure of global weak entropy solutions, interaction of elementary waves and the boundary of solutions are studied, for initial-boundary value problems of scalar conservation laws under the condition that the flux function has finitely many inflection points and the initial data are two pieces of constant and the boundary data are constant. Furthermore, the behaviors of the weak entropy solutions nearby the boundary is also discussed.

关 键 词：非凸单个守恒律 初边值问题 边界熵条件 整体弱熵解 

分 类 号：O175.27[理学—数学]