Existence and uniqueness of the boussinesq equations for MHD convection

M. Tafrikan; M. Ghani

doi:10.1088/1742-6596/1836/1/012034

Existence and uniqueness of the boussinesq equations for MHD convection

M. Tafrikan, M. Ghani

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

This paper is concerned with the Boussinesq-MHD system with constant viscosity, thermal diffusivity, and electrical conductivity. The existence of this Boussinesq-MHD system was estimated by Littlewood-Paley decomposition, Bony's para product and commutator estimates. Meanwhile, the uniqueness was estimated by Gronwall inequality. In this paper, the space is the optimal Sobolev spaces for the Boussinesq-MHD system.

Original language	English
Article number	012034
Journal	Journal of Physics: Conference Series
Volume	1836
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1836/1/012034
Publication status	Published - 23 Mar 2021
Externally published	Yes
Event	4th International Conference on Combinatorics, Graph Theory, and Network Topology, ICCGANT 2020 - Jember, East Java, Indonesia Duration: 22 Aug 2020 → 23 Aug 2020

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title = "Existence and uniqueness of the boussinesq equations for MHD convection",

abstract = "This paper is concerned with the Boussinesq-MHD system with constant viscosity, thermal diffusivity, and electrical conductivity. The existence of this Boussinesq-MHD system was estimated by Littlewood-Paley decomposition, Bony's para product and commutator estimates. Meanwhile, the uniqueness was estimated by Gronwall inequality. In this paper, the space is the optimal Sobolev spaces for the Boussinesq-MHD system.",

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AU - Tafrikan, M.

AU - Ghani, M.

PY - 2021/3/23

Y1 - 2021/3/23

N2 - This paper is concerned with the Boussinesq-MHD system with constant viscosity, thermal diffusivity, and electrical conductivity. The existence of this Boussinesq-MHD system was estimated by Littlewood-Paley decomposition, Bony's para product and commutator estimates. Meanwhile, the uniqueness was estimated by Gronwall inequality. In this paper, the space is the optimal Sobolev spaces for the Boussinesq-MHD system.

AB - This paper is concerned with the Boussinesq-MHD system with constant viscosity, thermal diffusivity, and electrical conductivity. The existence of this Boussinesq-MHD system was estimated by Littlewood-Paley decomposition, Bony's para product and commutator estimates. Meanwhile, the uniqueness was estimated by Gronwall inequality. In this paper, the space is the optimal Sobolev spaces for the Boussinesq-MHD system.

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DO - 10.1088/1742-6596/1836/1/012034

M3 - Conference article

AN - SCOPUS:85103537945

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JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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T2 - 4th International Conference on Combinatorics, Graph Theory, and Network Topology, ICCGANT 2020

Y2 - 22 August 2020 through 23 August 2020

ER -

Existence and uniqueness of the boussinesq equations for MHD convection

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