Global existence of smooth solutions for three-dimensional magnetic Benard system with mixed partial dissipation, magnetic diffusion and thermal diffusivity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Ma, Liangliang¹ 

[1] Panzhihua Univ, Dept Math & Comp, Panzhihua 617000, Peoples R China

关键词: Magnetic Benard system;    Partial dissipation;    Magnetic diffusion;    Thermal diffusivity;    Smooth solution;   

DOI  :  10.1016/j.jmaa.2017.12.036

来源: Elsevier

【 摘 要 】

This paper deals with the Cauchy problem to the 3D system of incompressible magnetic Benard fluids. We prove that as the initial data satisfy parallel to u(0)parallel to(2)(H1(R3)) + parallel to b(0)parallel to(2)(H1(R3)) + parallel to theta(0)parallel to(2)(H1(R3)) <= epsilon, where e is a suitably small positive number, then the 3D magnetic Benard system with mixed partial dissipation, magnetic diffusion and thermal diffusivity admit global smooth solutions. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free