Convergence and continuous dependence results for the Brinkman equations

DOI10.1016/j.amc.2009.12.047zbMath1381.76343OpenAlexW1981130716MaRDI QIDQ961645

Yi Du, Yan Liu, Changhao Lin

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.047

zbMATH Keywords

a priori boundsstructural stabilitycontinuous dependencethe Brinkman coefficientthe Soret coefficient

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

Related Items (10)

Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain ⋮ Continuous Dependence on the Heat Source in Resonant Porous Penetrative Convection ⋮ Continuous dependence on the Forchheimer coefficient of the Forchheimer fluid interfacing with a Darcy fluid ⋮ Modelling boundary and nonlinear effects in porous media flow ⋮ Structural stability for a thermal convection model with temperature-dependent solubility ⋮ Structure of the dependence of Darcy and Forchheimer coefficients on porosity ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Structural stability in resonant penetrative convection in a Brinkman-Forchheimer fluid interfacing with a Darcy fluid ⋮ Continuous dependence on the reaction terms in porous convection with surface reactions ⋮ Structural stability in local thermal non-equilibrium porous media

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