Global strong solution of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
Global strong solution of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
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DOI：
10.1016/j.jde.2015.03.008
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发表时间：
2015-08
影响因子：
2.4
通讯作者：
Xiangdi Huang;Yun Wang
中科院分区：
文献类型：
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作者：
Xiangdi Huang;Yun Wang
本文研究了有界区域上真空存在下粘性依赖于密度的三维非齐次Navier-Stokes方程。当初始密度为任意大时，证明了在适当小的条件下，该方程的强解存在全局时间唯一性.
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‖∇ u 0‖ L 2 is suitably small with arbitrary large initial density.