Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion

Huimin Liu, Dongfen Bian*, Xueke Pu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

In this paper, we show the global existence and uniqueness of strong and smooth large solutions to the 3D Boussinesq-MHD system without heat diffusion. Since the temperature satisfies a transport equation, in order to get high regularity of temperature, we need to use the combination of estimates about velocity and magnetic field. Moreover, our system involves a nonlinear damping term in the momentum equations due to the Brinkman–Forchheimer–extended-Darcy law of flow in porous media.

Original languageEnglish
Article number81
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume70
Issue number3
DOIs
Publication statusPublished - 1 Jun 2019

Keywords

  • 3D Boussinesq-MHD system
  • Global well-posedness
  • Strong and smooth solution

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