一类偶合双曲守恒律系统的柯西问题

孙文华; 杨汉春

孙文华, 杨汉春. 一类偶合双曲守恒律系统的柯西问题[J]. 云南大学学报(自然科学版), 2004, 26(1): 6-10.

引用本文:

孙文华, 杨汉春. 一类偶合双曲守恒律系统的柯西问题[J]. 云南大学学报(自然科学版), 2004, 26(1): 6-10.

SUN Wen-hua, YANG Han-chun. Cauchy problem for a class of coupled hyperbolic systems of conservation laws[J]. Journal of Yunnan University: Natural Sciences Edition, 2004, 26(1): 6-10.

Citation:

SUN Wen-hua, YANG Han-chun. Cauchy problem for a class of coupled hyperbolic systems of conservation laws[J]. Journal of Yunnan University: Natural Sciences Edition, 2004, 26(1): 6-10.

一类偶合双曲守恒律系统的柯西问题

Cauchy problem for a class of coupled hyperbolic systems of conservation laws

摘要

摘要: 借助于一个势函数的凸包,研究了一类偶合双曲守恒律系统的柯西问题.构造了包含狄拉克激波的整体显示解,并直接证明了所构造的解是一个测度解.

Abstract: The Cauchy problem for a class of coupled hyperbolic system of conservation laws is studied.Using convex hull of a potential function,the global solution including delta shock waves is constructed explicitly,and is then proved to be a measure solution directly.

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