<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This current work is presented to deal with the model of double diffusive convection in porous material with variable viscosity, such that the equations for convective fluid motion in a Brinkman type are analysed when the viscosity varies with temperature quadratically. Hence, we carefully find a priori bounds when the coe cients depend only on the geometry of the problem, initial data, and boundary data, where this shows the continuous dependence of the solution on changes in the viscosity. A convergence result is also showen when the variable viscosity is allowed to tend to a constant viscosity.</p>
</abstract>

This current work is presented to deal with the model of double diffusive convection in porous material with variable viscosity, such that the equations for convective fluid motion in a Brinkman type are analysed when the viscosity varies with temperature quadratically. Hence, we carefully find a priori bounds when the coe cients depend only on the geometry of the problem, initial data, and boundary data, where this shows the continuous dependence of the solution on changes in the viscosity. A convergence result is also showen when the variable viscosity is allowed to tend to a constant viscosity.

Continuous dependence for double diffusive convection in a Brinkman model with variable viscosity

Department of Mathematics, College of Education for Pure Sciences

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This current work is presented to deal with the model of double diffusive convection in porous material with variable viscosity, such that the equations for...

Continuous dependence for double diffusive convection in a Brinkman model with variable viscosity

Published Online: Nov 18, 2022

Page range: 125 - 146

Received: Mar 30, 2021

DOI: https://doi.org/10.2478/ausm-2022-0009

Keywords
continuous dependence, double diffusive, Brinkman, salinization, variable viscosity, a priori bounds, convergence

© 2022 Ghazi Abed Meften et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Continuous dependence for double diffusive convection in a Brinkman model with variable viscosity

Published Online: Nov 18, 2022

Page range: 125 - 146

Received: Mar 30, 2021

DOI: https://doi.org/10.2478/ausm-2022-0009

Keywordscontinuous dependence, double diffusive, Brinkman, salinization, variable viscosity, a priori bounds, convergence

© 2022 Ghazi Abed Meften et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
continuous dependence, double diffusive, Brinkman, salinization, variable viscosity, a priori bounds, convergence