Global regularity to the Cauchy problem of the 3D heat conducting incompressible Navier-Stokes equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:464

Article

Xu, Hao¹  Yu, Haibo¹ 

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

关键词: Global strong solution;    Decay;    Density-temperature-dependent viscosity;    Vacuum;   

DOI  :  10.1016/j.jmaa.2018.04.037

来源: Elsevier

【 摘 要 】

This paper concerns the global regularity to the Cauchy problem of the 3D heat conducting incompressible Navier-Stokes equations with density-temperature dependent viscosity and vacuum. Through the t-weighted a priori estimates, we establish the global existence and decay of strong solutions provided the initial energy is suitably small. It should be noted that the absolute temperature can be large initially. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free