Nonlinear stability problem of a rotating porous layer

DOI10.1090/qam/1315452zbMath0816.76035OpenAlexW2292562843MaRDI QIDQ4327854

P. N. Kaloni, Y. Qin

Publication date: 16 July 1995

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1315452

zbMATH Keywords

energy functionalvariational problemevolution equationa priori estimateBénard problemcritical energy boundsgeneralized Brinkman model

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) General theory of rotating fluids (76U05)

Related Items (13)

Local thermal non-equilibrium effects on thermal convection in a rotating anisotropic porous layer ⋮ Thermoconvective magnetized ferrofluid with internal angular momentum saturating a porous medium: a nonlinear stability analysis ⋮ Bénard-Taylor convection in temperature-dependent variable viscosity Newtonian liquids with internal heat source ⋮ Coriolis effect on thermal convection in a couple-stress fluid-saturated rotating rigid porous layer ⋮ Thermal convection in a rotating viscoelastic fluid saturated porous layer ⋮ Nonlinear stability problem of a rotating doubly diffusive fluid layer ⋮ Bifurcation analysis for thermal convection in a rotating porous layer ⋮ Thermal convection in a rotating porous layer using a thermal nonequilibrium model ⋮ The onset of electrothermoconvection in a rotating Brinkman porous layer ⋮ The Lyapunov-Movchan method in problems of the stability of flows and deformation processes ⋮ A systematic approximation for the equations governing convection-diffusion in a porous medium ⋮ A nonlinear stability analysis for magnetized ferrofluid heated from below ⋮ Effect of rotation on the onset of thermal convection in a sparsely packed porous layer using a thermal non-equilibrium model

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