摘要
本文对一类带耗散项的拟性双曲线方程组组的柯西问题进行了探讨。在初始值满足某种“小性”条件时,证明了此类方程组存在整体光滑解。
In this paper,the Cauchy problem for quasilinear hyperbolic system with some kind of dissi pative terms is considered.When the initial value satisfies some“small”conditions,this class of quasilinear hyperbolic systems has global smooth solutions.
关键词
整体光滑解
边值问题
双曲型方程组
quasilinear hyerbolic systems
dissipative terms
Cauchy problem
global smooth solution
