Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity

From MaRDI portal
Publication:4262187

DOI10.1098/rspa.1999.0398zbMath0933.76091OpenAlexW2091423409MaRDI QIDQ4262187

J. C. Song, Brian Straughan, Lawrence E. Payne

Publication date: 12 September 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0398




Related Items (59)

Continuous dependence for the nonhomogeneous Brinkman-Forchheimer equations in a semi-infinite pipeStructural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domainStructural 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 mediaContinuous Dependence on the Heat Source in Resonant Porous Penetrative ConvectionDoubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous mediaSpatial decay estimates for the Fochheimer equations interfacing with a Darcy equationsAttractors for the 3D autonomous and nonautonomous Brinkman-Forchheimer equationsStructural stability for the Brinkman fluid interfacing with a Darcy fluid in an unbounded domainWell productivity index for compressible fluids and gasesStructural stability for the Brinkman equations of flow in double diffusive convectionConvergence and continuous dependence for the Brinkman-Forchheimer equationsContinuous dependence on the Forchheimer coefficient of the Forchheimer fluid interfacing with a Darcy fluidConditional and unconditional stability for double diffusive convection when the viscosity has a maximumA family of steady two-phase generalized Forchheimer flows and their linear stability analysisGlobal nonlinear stability in porous convection with a thermal non-equilibrium modelStabilization estimates for the Brinkman-Forchheimer-Kelvin-Voigt equation backward in timeEqual-order finite element method for the Stokes equations with variable viscosityLong time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblemsGromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equationsExistence of global attractors for the three‐dimensional Brinkman–Forchheimer equationStability of solutions to generalized Forchheimer equations of any degreeUniform attractors for non-autonomous Brinkman-Forchheimer equations with delayUncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and fluid regionsContinuous dependence on the coefficients for double diffusive convection in Darcy flow with magnetic field effectImproved decay estimates in time-dependent Stokes flow.Fracture model reduction and optimization for Forchheimer flows in reservoirsHydrodynamic design optimization using non stationary porous media modelPenetrative convection in a fluid layer with throughflowWeak solutions to the equations of stationary magnetohydrodynamic flows in porous mediaNonlinear stability in microfluidic porous convection problemsStructural stability for two convection models in a reacting fluid with magnetic field effectStructural stability for the double diffusive convective Brinkman equationsEffect of anisotropic permeability on Darcy's lawContinuous dependence for a thermal convection model with temperature-dependent solubilityDependence on the reaction in porous convectionStructural stability for the resonant porous penetrative convectionContinuous dependence for the convective Brinkman–Forchheimer equationsStructural stability in resonant penetrative convection in a Brinkman-Forchheimer fluid interfacing with a Darcy fluidVelocity-vorticity-pressure formulation for the Oseen problem with variable viscosityGlobal stability for thermal convection in a fluid overlying a highly porous materialA decoupling method with different subdomain time steps for the nonstationary stokes–darcy modelStructural 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 domainConvergence and continuous dependence results for the Brinkman equationsSpatial decay bounds for the Forchheimer equationsContinuous dependence on the Soret coefficient for double diffusive convection in Darcy flowProperties of generalized Forchheimer flows in porous mediaAnalysis of generalized Forchheimer flows of compressible fluids in porous mediaConvergence results for generalized heat condution as the relaxation time tends to zeroMaximum estimates for generalized Forchheimer flows in heterogeneous porous mediaAnalysis of expanded mixed finite element methods for the generalized forchheimer flows of slightly compressible fluidsA differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous mediumGeometric model of the fracture as a manifold immersed in porous mediaDecay estimates for the Brinkman-Forchheimer equations in a semi-infinite pipeContinuous dependence on the reaction terms in porous convection with surface reactionsSlightly compressible Forchheimer flows in rotating porous mediaContinuous dependence for double diffusive convection in a Brinkman model with variable viscosityStructural stability for a Brinkman-Forchheimer type model with temperature-dependent solubility




This page was built for publication: Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity