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

Dongfen Bian

doi:10.3934/dcdss.2016065

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

Dongfen Bian^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

25 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 language	English
Pages (from-to)	1591-1611
Number of pages	21
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	9
Issue number	6
DOIs	https://doi.org/10.3934/dcdss.2016065
Publication status	Published - Dec 2016

Keywords

Global regularity
MHD Boussinesq system
Uniqueness
Weak solution

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10.3934/dcdss.2016065

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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.",

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AB - 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.

KW - Global regularity

KW - MHD Boussinesq system

KW - Uniqueness

KW - Weak solution

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ER -

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

Abstract

Keywords

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