一类偶合双曲守恒律系统的柯西问题(英文)

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

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.

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.