Continuous dependence result for Boussinesq type equations in a porous medium

doi:10.3785/j.issn.1008-9497.2023.04.003

Journal of Zhejiang University (Science Edition)

2023, Vol. 50

Issue (4): 409-415 DOI: 10.3785/j.issn.1008-9497.2023.04.003

Mathematics and Computer Science

Continuous dependence result for Boussinesq type equations in a porous medium

Jincheng SHI¹(

),Shengzhong XIAO²(

)

^1.Guangzhou Huashang College，Guangzhou 511300，China
^2.Scientific Research Department，Guangdong AIB Polytechnic，Guangzhou 510507，China

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Abstract

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 $λ$ .

Key words： Boussinesq equations structural stability continuous dependence solubility

Received: 19 October 2020 Published: 17 July 2023

CLC:

O 175.29

Corresponding Authors: Shengzhong XIAO E-mail: hning0818@163.com;172013444@qq.com

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Cite this article:

Jincheng SHI, Shengzhong XIAO. Continuous dependence result for Boussinesq type equations in a porous medium. Journal of Zhejiang University (Science Edition), 2023, 50(4): 409-415.

URL:

https://www.zjujournals.com/sci/EN/Y2023/V50/I4/409

多孔介质中一类Boussinesq方程组的连续依赖性

研究了二维空间多孔介质中与溶解度和温度有关的Boussinesq方程组的结构稳定性。首先得到了一些有用的先验界，然后在此基础上推出了解所满足的微分不等式，并求解该微分不等式，最后建立了解对结构系数 $λ$ 的连续依赖性结果。

关键词： Boussinesq方程组, 结构稳定性, 连续依赖性, 溶解度


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