LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM

doi:10.3934/dcds.2009.24.455

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	LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM
	Huang, Feimin1 ; Li, Yeping 2
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2009-06-01
卷号	24 期号:2 页码:455-470
关键词	Bipolar hydrodynamic model large time behavior quasineutral limit entropy solution energy estimates
ISSN号	1078-0947
DOI	10.3934/dcds.2009.24.455
英文摘要	In this paper, a one-dimensional bipolar hydrodynamic model is considered. This system takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equations. The large time behavior of L 1 entropy solutions of the bipolar hydrodynamic model is firstly studied. Previous works on this topic are mainly concerned with the smooth solution in which no vacuum occurs and the initial data is small. It is proved in this paper that any bounded entropy solution strongly converges to the similarity solution of the porous media equation or the heat equation in L-2(R) with time decay rate. The initial data can contain vacuum and can be arbitrarily large. The method is also applied to improve the convergence rate of [F. Huang, R. Pan, Arch. Rational Mech. Anal., 166( 2003), 359-376] for compressible Euler equations with damping. As a by product, it is shown that the bounded L-infinity entropy solution of the bipolar hydrodynamic model converges to the entropy solution of Euler equations with damping as t -> infinity.
资助项目	NSFC[10471138] ; NSFC-NSAF[10676037] ; National Science Foundation of China[10701057] ; Science Foundation of Shanghai Education Committee[08YZ72]
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES
WOS记录号	WOS:000265190500010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9167]
专题	应用数学研究所
通讯作者	Huang, Feimin
作者单位	1.Acad Sinica, Inst Appl Math, AMSS, Beijing 100080, Peoples R China 2.Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Li, Yeping. LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2009,24(2):455-470.
APA	Huang, Feimin,&Li, Yeping.(2009).LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,24(2),455-470.
MLA	Huang, Feimin,et al."LARGE TIME BEHAVIOR AND QUASINEUTRAL LIMIT OF SOLUTIONS TO A BIPOLAR HYDRODYNAMIC MODEL WITH LARGE DATA AND VACUUM".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 24.2(2009):455-470.