Continuous dependence of solutions of a class of double diffusion convection equations on Lewis coefficients

This paper studies the structural stability for solutions of a double diffusion perturbation model in porous medium in a bounded domain. We firstly obtain some useful a priori estimates. Using these a priori estimates, we then formulate a first order differential inequality that the solution satisfi...

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Bibliographic Details
Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 49; no. 3; pp. 300 - 307
Main Author Wang, Ze
Format Journal Article
LanguageChinese
Published Hangzhou Zhejiang University 01.05.2022
Zhejiang University Press
Subjects
Diffusion
Estimates
lewis系数
Perturbation
Porous media
rayleigh系数
Structural stability
双扩散对流方程组
连续依赖性
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ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2022.03.006

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Summary:This paper studies the structural stability for solutions of a double diffusion perturbation model in porous medium in a bounded domain. We firstly obtain some useful a priori estimates. Using these a priori estimates, we then formulate a first order differential inequality that the solution satisfies. Finally, by integrating the inequality, we get the result of continuous dependence for the solutions on the Lewis coefficient Le. This result shows that it is accurate for the double diffusion perturbation model to be used to describe the flow in porous media.
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2022.03.006