Initial boundary value problem for two-dimensional viscous boussinesq equations for MHD convection

Dongfen Bian*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

This paper is concerned with the initial boundary value problem for two-dimensional viscous Boussinesq equations for MHD convection. We show that the system has a unique classical solution for H3 initial data, and the non-slip boundary condition for velocity field and the perfectly conducting wall condition for magnetic field. In addition, we show that the kinetic energy is uniformly bounded in time.

Original languageEnglish
Pages (from-to)1591-1611
Number of pages21
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume9
Issue number6
DOIs
Publication statusPublished - Dec 2016

Keywords

  • Global regularity
  • MHD Boussinesq system
  • Uniqueness
  • Weak solution

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