Global solution and large-time behavior of the 3D compressible Euler equations with damping

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	Global solution and large-time behavior of the 3D compressible Euler equations with damping
	Tan, Zhong ; Wang, Yong ; Tan Z(谭忠)
刊名	http://dx.doi.org/10.1016/j.jde.2012.10.026
	2013
关键词	NONLINEAR DIFFUSION WAVES THROUGH POROUS-MEDIA HYPERBOLIC CONSERVATION-LAWS BOUNDARY VALUE-PROBLEM P-SYSTEM ASYMPTOTIC-BEHAVIOR CONVERGENCE-RATES BV SOLUTIONS FLOW EXISTENCE
英文摘要	National Natural Science Foundation of China - NSAF [10976026]; National Natural Science Foundation of China [11271305]; We construct the global unique solution to the compressible Euler equations with damping in R-3. We assume the H-3 norm of the initial data is small, but the higher order derivatives. can be arbitrarily large. When the (H) over dot(-s) norm (0 <= s < 3/2) or (B) over dot(2,infinity)(-s) norm (0 < s < 3/2) of the initial data is finite, by a regularity interpolation trick, we prove the optimal decay rates of the solution. As an immediate byproduct, the L-p-L-2 (1 <= p <= 2) type of the decay rates follow without requiring that the LP norm of initial data is small. (C) 2012 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91183]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Tan, Zhong,Wang, Yong,Tan Z. Global solution and large-time behavior of the 3D compressible Euler equations with damping[J]. http://dx.doi.org/10.1016/j.jde.2012.10.026,2013.
APA	Tan, Zhong,Wang, Yong,&谭忠.(2013).Global solution and large-time behavior of the 3D compressible Euler equations with damping.http://dx.doi.org/10.1016/j.jde.2012.10.026.
MLA	Tan, Zhong,et al."Global solution and large-time behavior of the 3D compressible Euler equations with damping".http://dx.doi.org/10.1016/j.jde.2012.10.026 (2013).