Non-linear stability and convection for laminar flows in a porous medium with Brinkman law

DOI10.1002/mma.333zbMath1062.76023OpenAlexW2127184932MaRDI QIDQ4808451

Sebastiano Lombardo, Giuseppe Mulone

Publication date: 22 May 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.333

zbMATH Keywords

Lyapunov direct methodcritical Rayleigh numbersOberbeck-Boussinesq-Brinkman scheme

Mathematics Subject Classification ID

Related Items (8)

Thermal convection in an inclined porous layer with Brinkman law ⋮ A new approach to nonlinear \(L^{2}\)-stability of double diffusive convection in porous media: necessary and sufficient conditions for global stability via a linearization principle ⋮ Triple diffusive convection in porous media ⋮ Stability of hydromagnetic laminar flows in an inclined heated layer ⋮ 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 ⋮ Global nonlinear stability for a triply diffusive convection in a porous layer ⋮ Long-time behaviour of multi-component fluid mixtures in porous media ⋮ Long-time behaviour of fluid motions in porous media according to the Brinkman model

Cites Work

• On the nonlinear stability of a fluid layer of a mixture heated and salted from below
• Effect of property variation and modelling on convection in a fluid overlying a porous layer
• Double‐Diffusive Convection in a Porous Medium, Nonlinear Stability, and the Brinkman Effect

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