Structural Stability for the Brinkman Equations of Porous Media

DOI<1335::AID-MMA842>3.0.CO;2-Y 10.1002/(SICI)1099-1476(19961110)19:16<1335::AID-MMA842>3.0.CO;2-YzbMath0859.76065OpenAlexW2084281253MaRDI QIDQ4715373

Franca Franchi, Brian Straughan

Publication date: 1996

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(19961110)19:16<1335::aid-mma842>3.0.co;2-y

zbMATH Keywords

penetrative convectionnon-isothermal flowBoussinesq modela priori continuous dependence estimatescooling coefficient

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05)

Related Items (16)

Structural stability for a linear system of thermoelastic plate equations ⋮ Thermal convection in an inclined porous layer with Brinkman law ⋮ Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations ⋮ On the stability and uniqueness of the flow of a fluid through a porous medium ⋮ Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions ⋮ A steady weak solution of the equations of motion of a viscous incompressible fluid through porous media in a domain with a non-compact boundary ⋮ Structural stability for temperature-dependent bidispersive flow in a semi-infinite pipe ⋮ Structural stability in porous elasticity ⋮ Continuous dependence on the coefficients for double diffusive convection in Darcy flow with magnetic field effect ⋮ Structural stability for convection models in a reacting porous medium with magnetic field effect ⋮ Structural stability for two convection models in a reacting fluid with magnetic field effect ⋮ Effect of anisotropic permeability on Darcy's law ⋮ On structural stability for an elastic body with voids having dipolar structure ⋮ Continuous dependence on modelling and non-existence results for a Ginzburg-Landau equation ⋮ Stability and Newton's law of cooling in double diffusive flow ⋮ Continuous dependence for double diffusive convection in a Brinkman model with variable viscosity

Cites Work

• New bounds for solutions of second order elliptic partial differential equations
• Convective Instabilities in Anisotropic Porous Media
• Unnamed Item

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