具粘性项的非严格双曲守恒律组的定态解  

Steady Solutions of Nonstrictly Hyperbolic Systems of Conservation Laws with Viscosity Terms

作　　者：杨汉春[1] 

机构地区：[1]云南大学数学系

出　　处：《云南大学学报（自然科学版）》1997年第3期304-308,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金

摘　　要：研究具有一类合理粘性项的一个非严格双曲守恒律方程组的定态解．证明了对任何满足ｕ＋＜ｕ的两个状态，该粘性方程组存在唯一解．当粘性系数趋于零时。Studies steady solutions of a nonstrictly hyperbolic system of conservation laws to which a reasonable viscosity term has been added.We prove that for any two states which satisfies u +<u -,there exists a unique solution to the viscous system.As the viscosity coefficient tends toward zero,the ω * limit in L 1of the solution is the δ-shock wave for the hyperbolic system.

关 键 词：非线性 双曲守恒律组 粘性项 定态解 

分 类 号：O175.29[理学—数学]