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.
出处
《暨南大学学报（自然科学与医学版）》
CAS
CSCD
北大核心
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)
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
nonconvex scalar conservation laws
initial-boundary value problem
boundary entropy condition
global weak entropy solution
