摘要
本文考虑了具有形式n的弱偶合双曲守恒方程组广义解的存在性问题.极大值原理导出了粘性解L∞模先验估计,关于单个守恒律简化的补偿列紧方法给出了粘性解的收敛性,即广义解的存在性.
in this paper, we consider the Cauchy problem for some coupled systems of nonlinear hyperbolic equations. The existence of the generalized solution is obtained by using the theory of the compensated compactness with the techniique of the wishing viscosity.
出处
《系统科学与数学》
CSCD
北大核心
1996年第2期125-135,共11页
Journal of Systems Science and Mathematical Sciences
关键词
广义解
初值问题
双曲偶合方程组
存在性
非线性
Hyperbolic equation
coupled system
generalized solution
compensated compactness