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^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

25 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1591-1611
页数	21
期刊	Discrete and Continuous Dynamical Systems - Series S
卷	9
期	6
DOI	https://doi.org/10.3934/dcdss.2016065
出版状态	已出版 - 12月 2016

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

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