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Global classical solutions for 3D compressible Navier-Stokesequations with vacuum and a density-dependent viscositycoefficient
LIU Shengquan,ZHANG Jianwen,ZHAO Junning * #
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
*Correspondence author
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Funding: This work was supported by a grant from the Ph.D. Programs Foundation of Ministry of Education of China （No.200803840016）
Opened online: 7 March 2012
Accepted by: none
Citation: LIU Shengquan,ZHANG Jianwen,ZHAO Junning.Global classical solutions for 3D compressible Navier-Stokesequations with vacuum and a density-dependent viscositycoefficient[OL]. [ 7 March 2012] http://en.paper.edu.cn/en_releasepaper/content/4467963
 
 
In this paper, we prove theglobal existence of classical solutions to the three dimensional(3D) compressible Navier-Stokes equations with a density-dependentviscosity coefficient (lambda=lambda( ho)) provided the initialdata is of small energy. This in particular implies that thesolutions may have large oscillations and contain vacuum states. Asa result of the uniform estimates, the large-time behavior of thesolution is also studied.
Keywords:compressible Navier-Stokes equations;global classical solutions; density-dependent viscosity; vacuum
 
 
 

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