LARGE-TIME BEHAVIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA

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	LARGE-TIME BEHAVIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA
其他题名	Large-time behavior of solutions for the system of compressible adiabatic flow through porous media
	Xiao L(肖玲)1; Serre D 2
	1995-01-01
发表期刊	数学年刊：B辑英文版
ISSN	0252-9599
卷号	16.0 期号:004 页码:431-444
摘要	Consider the system{vt-ux=0,ut+p(v,s)x=-αu,α>0,st=0,which 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.It is proved that the solutions of (1) tend to those of the following nonlinear parabolic equation time-asymptotically:{vt=-1/αp(v,s)xx;st=0,u=-1/αp(v,s)x.
其他摘要	Consider the system{vt-ux=0,ut+p(v,s)x=-αu,α>0,st=0,which 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.It is proved that the solutions of (1) tend to those of the following nonlinear parabolic equation time-asymptotically:{vt=-1/αp(v,s)xx;st=0,u=-1/αp(v,s)x.
关键词	大时间性质解可压缩绝热流多孔介质偏微分方程
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:260858
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57553
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.Ecole Normale Superieure de Lyon
推荐引用方式 GB/T 7714	Xiao L,Serre D. LARGE-TIME BEHAVIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA[J]. 数学年刊：B辑英文版,1995,16.0(004):431-444.
APA	肖玲,&Serre D.(1995).LARGE-TIME BEHAVIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA.数学年刊：B辑英文版,16.0(004),431-444.
MLA	肖玲,et al."LARGE-TIME BEHAVIOR OF SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA".数学年刊：B辑英文版 16.0.004(1995):431-444.