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Global strong solution of 3D inhomogeneous Navier–Stokes equations with density-dependent viscosity

Article ID Journal Published Year Pages File Type
4609964 Journal of Differential Equations 2015 22 Pages PDF
Abstract

In this paper, we investigate the three-dimensional inhomogeneous Navier–Stokes equations with density-dependent viscosity in presence of vacuum over bounded domains. Global-in-time unique strong solution is proved to exist when ‖∇u0‖L2‖∇u0‖L2 is suitably small with arbitrary large initial density.

Keywords
35Q3535B65VacuumStrong solution
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Global strong solution of 3D inhomogeneous Navier–Stokes equations with density-dependent viscosity
Authors
Xiangdi Huang, Yun Wang,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
35Q35
35B65
Vacuum
Strong solution
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