On continuous dependence on coefficients of the Brinkman-Forchheimer equations
From MaRDI portal
Publication:2371059
DOI10.1016/j.aml.2005.11.002zbMath1119.35065OpenAlexW2075631402MaRDI QIDQ2371059
A. Okay Çelebi, Davut Uğurlu, Varga K. Kalantarov
Publication date: 29 June 2007
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2005.11.002
Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) 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 (50)
A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations ⋮ A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem ⋮ Continuous dependence for the nonhomogeneous Brinkman-Forchheimer equations in a semi-infinite pipe ⋮ Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in \(\mathbb{R}^3 \) ⋮ Studying a doubly nonlinear model of slightly compressible Forchheimer flows in rotating porous media ⋮ Continuous Dependence on the Heat Source in Resonant Porous Penetrative Convection ⋮ Non-autonomous 3D Brinkman-Forchheimer equation with singularly oscillating external force and its uniform attractor ⋮ A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations ⋮ ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO 3D CONVECTIVE BRINKMAN-FORCHHEIMER EQUATIONS WITH FINITE DELAYS ⋮ 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 ⋮ A family of steady two-phase generalized Forchheimer flows and their linear stability analysis ⋮ A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations ⋮ Structural stability and decay estimate for marine riser equations ⋮ A five-field mixed formulation for stationary magnetohydrodynamic flows in porous media ⋮ Existence of global attractors for the three‐dimensional Brinkman–Forchheimer equation ⋮ Stability of solutions to generalized Forchheimer equations of any degree ⋮ Modelling boundary and nonlinear effects in porous media flow ⋮ Uniform attractors for non-autonomous Brinkman-Forchheimer equations with delay ⋮ A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations ⋮ Hydrodynamic design optimization using non stationary porous media model ⋮ Structural stability for a thermal convection model with temperature-dependent solubility ⋮ Structure of the dependence of Darcy and Forchheimer coefficients on porosity ⋮ Weak solutions to the equations of stationary magnetohydrodynamic flows in porous media ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Structural stability for the double diffusive convective Brinkman equations ⋮ Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation ⋮ Continuous dependence for a thermal convection model with temperature-dependent solubility ⋮ Structural stability for the Morris-Lecar neuron model ⋮ Structural stability for the resonant porous penetrative convection ⋮ Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in \(R^2\) ⋮ On the existence of a global attractor for the Brinkman-Forchheimer equations ⋮ An expanded mixed finite element method for generalized Forchheimer flows in porous media ⋮ 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 ⋮ A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids ⋮ 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 ⋮ On the time discrete approximation of the Brinkman-Forchheimer equations ⋮ Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations ⋮ Decay estimates for the Brinkman-Forchheimer equations in a semi-infinite pipe ⋮ Continuous dependence on the reaction terms in porous convection with surface reactions ⋮ Slightly compressible Forchheimer flows in rotating porous media ⋮ An analytical and computational study of the incompressible Toner-Tu equations ⋮ Structural stability in local thermal non-equilibrium porous media ⋮ Analysis of the Brinkman-Forchheimer equations with slip boundary conditions ⋮ Structural stability for a Brinkman-Forchheimer type model with temperature-dependent solubility ⋮ Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)
Cites Work
- Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
- Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media
- Structural stability for the Darcy equations of flow in porous media
- ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM
- Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
This page was built for publication: On continuous dependence on coefficients of the Brinkman-Forchheimer equations
