Continuous dependence result for Boussinesq type equations in a porous medium

The structural stability of a Boussinesq type model with temperature dependent solubility is studied. We firstly obtain some useful priory bounds in R~2. Using these bounds, we then formulate a differential inequality that the solution satisfies and then solve this inequality. At last, we get the co...

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Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 50; no. 4; pp. 409 - 415
Main Authors Shi, Jincheng, Xiao, Shengzhong
Format Journal Article
LanguageChinese
Published Hangzhou Zhejiang University 01.07.2023
Zhejiang University Press
Subjects
Boussinesq equations
Porous media
Structural stability
Temperature dependence
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ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2023.04.003

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Summary:The structural stability of a Boussinesq type model with temperature dependent solubility is studied. We firstly obtain some useful priory bounds in R~2. Using these bounds, we then formulate a differential inequality that the solution satisfies and then solve this inequality. At last, we get the continuous dependence for the constructive coefficient λ.
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ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2023.04.003