Optimal decay rates for the compressible fluid models of Korteweg type

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	Optimal decay rates for the compressible fluid models of Korteweg type
	Wang, Yanjin ; Tan, Zhong ; Wang YJ(王焰金) ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1016/j.jmaa.2011.01.006
	2011-07-01
关键词	NAVIER-STOKES EQUATIONS CONVERGENCE-RATES UNBOUNDED-DOMAINS EXTERIOR DOMAIN VISCOUS-FLUID HALF-SPACE MOTION BEHAVIOR SYSTEMS FORCE
英文摘要	National Natural Science Foundation of China-NSAF [10976026]; We consider the compressible Navier-Stokes-Korteweg system that models the motions of the compressible isothermal viscous capillary fluids. We prove the optimal L(2) and L(P), p >= 2 decay rates for the classical solutions and their spatial derivatives. In particular, the optimal L(2) decay rate of the second-order spatial derivatives is obtained. The proof is based on the detailed study of the linear decay estimates and nonlinear energy estimates. (C) 2011 Elsevier Inc. All rights reserved.
语种	英语
出版者	J MATH ANAL APPL
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91087]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Wang, Yanjin,Tan, Zhong,Wang YJ,et al. Optimal decay rates for the compressible fluid models of Korteweg type[J]. http://dx.doi.org/10.1016/j.jmaa.2011.01.006,2011.
APA	Wang, Yanjin,Tan, Zhong,王焰金,&谭忠.(2011).Optimal decay rates for the compressible fluid models of Korteweg type.http://dx.doi.org/10.1016/j.jmaa.2011.01.006.
MLA	Wang, Yanjin,et al."Optimal decay rates for the compressible fluid models of Korteweg type".http://dx.doi.org/10.1016/j.jmaa.2011.01.006 (2011).