Global strong solutions for the incompressible nematic liquid crystal flows with density-dependent viscosity coefficient

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:462

Article

Liu, Yang^1,2 

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

关键词: Density-dependent viscosity;    Incompressible nematic liquid crystal flows;    Strong solution;    Vacuum;   

DOI  :  10.1016/j.jmaa.2018.02.044

来源: Elsevier

【 摘 要 】

This paper is concerned with an initial boundary value problem of the incompressible nematic liquid crystal flows with density-dependent viscosity in a smooth bounded domain Omega subset of R-3. The global well-posedness of strong solutions with large oscillations is established in vacuum, provided parallel to del u(0)parallel to(L2) + parallel to del d(0)parallel to(L2) suitably small with arbitrary large initial density, which extended the local strong solution by Gao et al. [12] to be a global one. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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