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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Huang, Xiangdi¹  Wang, Yun² 

[1] Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China

[2] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

关键词: Density-dependent viscosity;    Inhomogeneous Navier-Stokes equations;    Strong solution;    Vacuum;   

DOI  :  10.1016/j.jde.2015.03.008

来源: Elsevier

【 摘 要 】

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 parallel to del u(0)parallel to(L2) is suitably small with arbitrary large initial density. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free