摘要
By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow-up phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of ‘small ’ solution.
By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow_up phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of 'small' solution.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第6期643-652,共10页
Applied Mathematics and Mechanics
基金
theNationalNaturalScienceFoundationofChina (10 0 0 10 2 4)
theFundsforMajorStateBasicResearchProjects (2 0 0 0 0 773 0 6)
关键词
多孔介质
可压缩流体力学
方程组
经典解
整体存在性
破裂
porous media
compressible adiabatic flow
system of equations
classical solution
global existence
blow-up
