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Research Article | Open Access

Structural stability for the Darcy model in double diffusive convection flow with Magnetic field effect

Zhanwei Guo1( ), Jincheng Shi2
Basic Teaching Department, Guangdong Communication Polytechnic, Guangzhou 510650, China
Department of Data Science, Guangzhou Huashang College, Guangzhou 511300, China
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Abstract

In this paper, we consider the Darcy model with magnetic field affect which is used to describe the double diffusive flow of a fluid containing a solute. Using the energy estimate methods, we derive the prior bounds of the solutions. By using these a prior bounds, the continuous dependence of the solutions to Darcy model on the magnetic coefficient and the boundary parameter is established.

Keywords

continuous dependencea priori boundsDarcy flowdouble diffusive
CLC number: 49J20, 65N30

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 16366-16386
DOI: 10.3934/math.2022894

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Cite this article:
Guo Z, Shi J. Structural stability for the Darcy model in double diffusive convection flow with Magnetic field effect. AIMS Mathematics, 2022, 7(9): 16366-16386. https://doi.org/10.3934/math.2022894

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Received: 19 January 2022
Revised: 03 May 2022
Accepted: 24 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)