Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (6): 1805-1815.

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Global Regularity for the MHD-Boussinesq System with Fractional Diffusion

Jing Yang1(),Xuemei Deng1,2(),Yanping Zhou1,2,*()   

  1. 1 College of Science, China Three Gorges University, Hubei Yichang 443002
    2 Three Gorges Mathematical Research Center, China Three Gorges University, Hubei Yichang 443002
  • Received:2021-03-12 Online:2021-12-26 Published:2021-12-02
  • Contact: Yanping Zhou E-mail:1972639378@qq.com;dxmeisx@126.com;zhyp5208@163.com
  • Supported by:
    the NSFC(11901346);the NSFC(11871305);the Research Fund for Excellent Dissertation of China Three Gorges University(2021SSPY148)

Abstract:

In this paper, we investigate the n-dimensional (n2) Magnetohydrodynamics-Boussinesq system with fractional diffusion. When the nonnegative constants α,β and γ satisfy α12+n4, α+β1+n2 and α+γn2, by using the energy methods, we obtain the global existence and uniqueness of solution for the system, which generalizes the existing result.

Key words: MHD-Boussinesq system, Global regularity, Fractional diffusion

CLC Number: 

  • O175.2
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