Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity

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	Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity
其他题名	Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity
	Abidi Hammadi 1; Zhang Ping 2
	2015
发表期刊	Science China Mathematics,
卷号	58 期号:6 页码:1129-1150
其他摘要	Abstract(#br)Given initial data ( ρ 0, u 0) satisfying 0 < m ? ρ 0 ? M , \(\rho _0 - 1 \in L^2 \cap \dot W^{1,r} (R^3 )\) and \(u_0 \in \dot H^{ - 2\delta } \cap H^1 (\mathbb{R}^3 )\) for δ ∈1/4, 1/2 and r ∈6, 3/1 ? 2 δ , we prove that: there exists a small positive constant ? 1, which depends on the norm of the initial data, so that the 3-D incompressible inhomogeneous Navier-Stokes system with variable viscosity has a unique global strong solution ( ρ , u ) whenever \(\left\\| {u_0 } \right\\|_{L^2 } \left\\| {\nabla u_0 } \right\\|_{L^2 } \) and \(\left\\| {\mu (\rho _0 ) - 1} \right\\|_{L^\infty } \leqslant \varepsilon _0 \) for some uniform small constant ? 0. Furthermore, with smoother initial data and viscosity coefficient, we... can prove the propagation of the regularities for such strong solution.展开 ?收缩
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Chinese Academy of Sciences] ; [National Center for Mathematics and Interdisciplinary Sciences]
CSCD记录号	CSCD:5444899
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56820
专题	中国科学院数学与系统科学研究院
作者单位	1.Fac Sci Tunis, Department Math, Tunis 2092, Tunisia 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Abidi Hammadi,Zhang Ping. Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity[J]. Science China Mathematics,,2015,58(6):1129-1150.
APA	Abidi Hammadi,&Zhang Ping.(2015).Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity.Science China Mathematics,,58(6),1129-1150.
MLA	Abidi Hammadi,et al."Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity".Science China Mathematics, 58.6(2015):1129-1150.