Study on a cross diffusion parabolic system

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	Study on a cross diffusion parabolic system
	Chen, Li 1; Hsiao, Ling 2; Warnecke, Gerald 3
	2007
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	23 期号:1 页码:9-28
摘要	This paper considers a kind of strongly coupled cross diffusion parabolic system, which can be used as the multi-dimensional Lyumkis energy transport model in semiconductor science. The global existence and large time behavior are obtained for smooth solution to the initial boundary value problem. When the initial data are a small perturbation of an isothermal stationary solution, the smooth solution of the problem under the insulating boundary condition, converges to that stationary solution exponentially fast as time goes to infinity.
关键词	cross diffusion parabolic system energy transport model global existence asymptotic behavior
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000254931500002
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4301
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Li
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Otto VonGuericke Univ Magdegurg, Inst Anal & Numer, D-39016 Magdeburg, Germany
推荐引用方式 GB/T 7714	Chen, Li,Hsiao, Ling,Warnecke, Gerald. Study on a cross diffusion parabolic system[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2007,23(1):9-28.
APA	Chen, Li,Hsiao, Ling,&Warnecke, Gerald.(2007).Study on a cross diffusion parabolic system.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,23(1),9-28.
MLA	Chen, Li,et al."Study on a cross diffusion parabolic system".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 23.1(2007):9-28.