Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data

doi:10.1016/j.nonrwa.2017.09.004

CSpace > 应用数学研究所

	Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data
	Guo, Zhenhua 1,2; Wang, Mei 1,2; Wang, Yi3,4
	2018-04-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	40 页码:260-289
摘要	In this paper, we proved the global well-posedness of the solution to 3D spherically symmetric, compressible and isentropic Navier-Stokes equations in the whole space with arbitrarily large initial data when the shear viscosity mu is a positive constant and the bulk viscosity lambda(rho) = rho(beta) with 0 <= beta <= gamma and gamma > 1 being the adiabatic exponent in the gamma-law pressure. First, the global classical solution is obtained away from the symmetry center gamma = 0 with arbitrarily large and non-vacuum data. In particular, it is shown that the solution will not develop the vacuum states in any finite time away from the symmetry center if the initial density does not contain vacuum states. Then the global weak solutions with the symmetry center gamma = 0 are obtained as the limit of the classical solutions in the exterior domain of a ball B-epsilon(0) with the center at the origin and the radius epsilon > 0 when the ball shrink to the origin, that is, epsilon -> 0+, for any fixed total mass h > 0 defined in (3.1), and then let h -> 0+. (C) 2017 Elsevier Ltd. All rights reserved.
关键词	Compressible Navier-Stokes equations 3D spherically symmetric Global weak solution
DOI	10.1016/j.nonrwa.2017.09.004
语种	英语
资助项目	National Natural Sciences Foundation of China[11331005] ; National Natural Sciences Foundation of China[11671385] ; SRDPC[20136101110015] ; Youth Innovation Promotion Association of CAS ; Young top-notch talent Program
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000416196800013
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29154
专题	应用数学研究所
通讯作者	Guo, Zhenhua
作者单位	1.Northwest Univ, Sch Math, Xian 710069, Shaanxi, Peoples R China 2.Northwest Univ, CNS, Xian 710069, Shaanxi, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, CEMS,HCMS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Guo, Zhenhua,Wang, Mei,Wang, Yi. Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2018,40:260-289.
APA	Guo, Zhenhua,Wang, Mei,&Wang, Yi.(2018).Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,40,260-289.
MLA	Guo, Zhenhua,et al."Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 40(2018):260-289.