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Continuous dependence for a thermal convection model with temperature-dependent solubility

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  • Liu, Yan

Abstract

We study the structural stability for a thermal convection model with temperature-dependent solubility. When the spatial domain Ω is bounded in R3, we show that the solution depends continuously on the Boussinesq coefficient λ by using the method of a second order differential inequality. In the procedure of deriving the result, we also get the a priori bounds for the temperature T and the salt concentration C.

Suggested Citation

  • Liu, Yan, 2017. "Continuous dependence for a thermal convection model with temperature-dependent solubility," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 18-30.
    • Handle: RePEc:eee:apmaco:v:308:y:2017:i:c:p:18-30
    DOI: 10.1016/j.amc.2017.03.004
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    Cited by:

    1. Zhanwei Guo & Jincheng Shi & Danping Ding, 2022. "Convergence of the Boundary Parameter for the Three-Dimensional Viscous Primitive Equations of Large-Scale," Mathematics, MDPI, vol. 10(21), pages 1-11, November.
    2. Liu, Yan & Qin, Xulong & Shi, Jincheng & Zhi, Wenjing, 2021. "Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in R2," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    3. Jincheng Shi & Yan Liu, 2022. "Continuous Dependence for the Boussinesq Equations under Reaction Boundary Conditions in R 2," Mathematics, MDPI, vol. 10(6), pages 1-14, March.
    4. Liu, Yan & Xiao, Shengzhong & Lin, Yiwu, 2018. "Continuous dependence for the Brinkman–Forchheimer fluid interfacing with a Darcy fluid in a bounded domain," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 150(C), pages 66-82.

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