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LARGE-TIME BEHMIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGHPOROUS MEDIA
作者姓名:XIAO  LING
作者单位:XIAO LING(L. HSIAO) D. SERRE (Institute of Mathematics,Academia Sinica,Beijing 100080,China.)(Ecole Normale Superieure de Lyon,CNRS,46,Alle d'Italie,69364 Lyon cedex 07,France.)
摘    要:LARGE-TIMEBEHMIOROFSOLUTIONSFORTHESYSTEMOFCOMPRESSIBLEADIABATICFLOWTHROUGHPOROUSMEDIA¥XIAOLING(L.HSIAO)D.SERRE(InstituteofMat...


LARGE-TIME BEHMIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA
XIAO LING.LARGE-TIME BEHMIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA[J].Chinese Annals of Mathematics,Series B,1995(4).
Authors:XIAO LING
Abstract:Consider the systemwhich can be used to model the adiabatic gas flow through porous media. Here v is specific volume, u denotes velocity, s stands for entropy, p denotes pressure with pv <0 for v >0. It is proved that the solutions of (1) tend to those of the following nonlinear parabolic equation time-asymptotically:
Keywords:Large-time behavior  System of compressible adiabatic flow  Damping mechanism  Nonlinear parabolic equation  
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