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

Zhanwei Guo; Jincheng Shi; Zhanwei Guo; Jincheng Shi

doi:10.3934/math.2022894

AIMS Mathematics

2022, Volume 7, Issue 9: 16366-16386. doi: 10.3934/math.2022894

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

Zhanwei Guo ^{1
,
,},
Jincheng Shi ²

1.
Basic Teaching Department, Guangdong Communication Polytechnic, Guangzhou 510650, China
2.
Department of Data Science, Guangzhou Huashang College, Guangzhou 511300, China

Received: 19 January 2022 Revised: 03 May 2022 Accepted: 24 June 2022 Published: 05 July 2022
MSC : 49J20, 65N30

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.
- continuous dependence,
- a priori bounds,
- Darcy flow,
- double diffusive
Citation: Zhanwei Guo, Jincheng Shi. Structural stability for the Darcy model in double diffusive convection flow with Magnetic field effect[J]. AIMS Mathematics, 2022, 7(9): 16366-16386. doi: 10.3934/math.2022894

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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.

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