Global strong solutions to the incompressible Navier-Stokes equations with density-dependent viscosity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:444

Article

Yu, Haibo¹  Zhang, Peixin¹ 

[1] Huaqiao Univ, Sch Math Sci, Fujian 362021, Quanzhou, Peoples R China

关键词: Global strong solution;    Incompressible Navier Stokes equations;    Density-dependent viscosity;    Vacuum;   

DOI  :  10.1016/j.jmaa.2016.06.066

来源: Elsevier

【 摘 要 】

This paper is concerned with the 3D incompressible Navier-Stokes equations with density-dependent viscosity in a smooth bounded domain. The global well-posedness of strong solutions is established for the case when the bound of density is suitably small, or when the total mass is small with large oscillations. The vacuum is allowed in both cases. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free