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Continuous dependence for the Brinkman–Forchheimer fluid interfacing with a Darcy fluid in a bounded domain

Author

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  • Liu, Yan
  • Xiao, Shengzhong
  • Lin, Yiwu

Abstract

This paper studies the continuous dependence of the Forchheimer coefficient λ and the Brinkman coefficient μ in a bounded domain of a viscous fluid interfacing with a porous solid. We assume that the viscous fluid is slow in Ω1, and the governing equations are Brinkman–Forchheimer equations. For the porous medium in Ω2, we suppose that the flow satisfies the Darcy equations. We can get the continuous dependence results of the solutions using the method of differential inequality.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:150:y:2018:i:c:p:66-82
    DOI: 10.1016/j.matcom.2018.02.009
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    References listed on IDEAS

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    1. Cichoń, Mieczysław & Yantir, Ahmet, 2015. "On continuous dependence of solutions of dynamic equations," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 473-483.
    2. 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.
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    Cited by:

    1. Yuanfei Li, 2024. "Spatial Decay Estimates and Continuous Dependence for the Oldroyd Fluid," Mathematics, MDPI, vol. 12(8), pages 1-14, April.
    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).

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