Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient

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	Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient
	Liu, Shengquan ; Zhang, Jianwen ; Zhao, Junning ; Zhang JW(张剑文) ; Zhao JN(赵俊宁)
刊名	http://dx.doi.org/10.1016/j.jmaa.2012.12.056
	2013
关键词	DISCONTINUOUS INITIAL DATA BOUNDARY VALUE-PROBLEMS MULTIDIMENSIONAL FLOWS SYMMETRIC-SOLUTIONS SMOOTH SOLUTIONS VISCOUS FLUIDS WELL-POSEDNESS WEAK SOLUTIONS CONVERGENCE EXISTENCE
英文摘要	NNSFC [10801111, 11271306, 10971171]; Fundamental Research Funds for the Central Universities [2010121006, 2012121005]; Natural Science Foundation of Fujian Province of China [2010J05011]; In this paper, we prove the global existence of classical solutions to the three-dimensional (3D) compressible Navier-Stokes equations with a density-dependent viscosity coefficient (lambda = lambda(rho)) provided the initial data is of small energy. This in particular implies that the solutions may have large oscillations and contain vacuum states. As a result of the uniform estimates, the large-time behavior of the solution is also studied. The result obtained generalizes those results in Zhang (2011) [39] and Huang et al. (2012) [17] where the non-vacuum initial data and the constant viscosity coefficients are considered, respectively. (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/2288/91288]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Liu, Shengquan,Zhang, Jianwen,Zhao, Junning,et al. Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient[J]. http://dx.doi.org/10.1016/j.jmaa.2012.12.056,2013.
APA	Liu, Shengquan,Zhang, Jianwen,Zhao, Junning,张剑文,&赵俊宁.(2013).Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient.http://dx.doi.org/10.1016/j.jmaa.2012.12.056.
MLA	Liu, Shengquan,et al."Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient".http://dx.doi.org/10.1016/j.jmaa.2012.12.056 (2013).