Continuous dependence for the convective Brinkman–Forchheimer equations

DOI10.1080/00036810500148911zbMath1078.35015OpenAlexW2084761912MaRDI QIDQ5711131

A. Okay Çelebi, Davut Uğurlu, Varga K. Kalantarov

Publication date: 9 December 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500148911

zbMATH Keywords

structural stabilityporous mediaDirichlet's boundary conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (19)

Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in \(\mathbb{R}^3 \) ⋮ Non-autonomous 3D Brinkman-Forchheimer equation with singularly oscillating external force and its uniform attractor ⋮ Decay of solutions and structural stability for the coupled Kuramoto-Sivashinsky–Ginzburg-Landau equations ⋮ Attractors for the 3D autonomous and nonautonomous Brinkman-Forchheimer equations ⋮ Structural stability for the Brinkman fluid interfacing with a Darcy fluid in an unbounded domain ⋮ Convergence and continuous dependence for the Brinkman-Forchheimer equations ⋮ An augmented mixed FEM for the convective Brinkman-Forchheimer problem: \textit{a priori} and \textit{a posteriori} error analysis ⋮ New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations ⋮ A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem ⋮ Gromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equations ⋮ Continuous dependence for a thermal convection model with temperature-dependent solubility ⋮ Structural stability for the resonant porous penetrative convection ⋮ Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in \(R^2\) ⋮ Continuous dependence for the Brinkman-Forchheimer fluid interfacing with a Darcy fluid in a bounded domain ⋮ Convergence and continuous dependence results for the Brinkman equations ⋮ Properties of generalized Forchheimer flows in porous media ⋮ Analysis of expanded mixed finite element methods for the generalized forchheimer flows of slightly compressible fluids ⋮ Global well-posedness of a 3D MHD model in porous media ⋮ Structural stability for a Brinkman-Forchheimer type model with temperature-dependent solubility

Cites Work

• Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
• Steady nonlinear double-diffusive convection in a porous medium based upon the Brinkman-Forchheimer model
• Structural stability for the Darcy equations of flow in porous media
• A priori bounds and structural stability for double-diffusive convection incorporating the Soret effect
• Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity
• ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Double‐Diffusive Convection in a Porous Medium, Nonlinear Stability, and the Brinkman Effect

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