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 in | Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 50; no. 4; pp. 409 - 415 |
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| Main Authors | , |
| Format | Journal Article |
| Language | Chinese |
| Published |
Hangzhou
Zhejiang University
01.07.2023
Zhejiang University Press |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1008-9497 |
| DOI | 10.3785/j.issn.1008-9497.2023.04.003 |
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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. |
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| AbstractList | 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. 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。 |
| Author | Shi, Jincheng Xiao, Shengzhong |
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| Snippet | 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... 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。 |
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| SubjectTerms | Boussinesq equations Porous media Structural stability Temperature dependence |
| Title | Continuous dependence result for Boussinesq type equations in a porous medium |
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