Stability properties for nonlinear diffusion in porous and other media

DOI10.1016/S0022-247X(03)00063-5zbMath1027.35054MaRDI QIDQ1399313

James N. Flavin, Salvatore Rionero

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionalglobal stability of the steady state

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items (8)

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 ⋮ A nonlinear fourth order diffusion problem: convergence to the steady state and non-negativity of solutions ⋮ Penetrative convection in a fluid layer with throughflow ⋮ Unconditional nonlinear stability for convection in a porous medium with vertical throughflow ⋮ Global stability for thermal convection in a fluid overlying a highly porous material ⋮ The effect of density-dependent dispersal on the stability of populations ⋮ The evolution to a steady state for a porous medium model ⋮ A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium

Cites Work

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• Asymptotic and other properties of a nonlinear diffusion model
• Nonlinear stability for a thermofluid in a vertical porous slab
• DECAY AND OTHER ESTIMATES FOR AN ELASTIC CYLINDER
• Explosive Instabilities in Mechanics
• Note on a versatile Liapunov functional: applicability to an elliptic equation
• The Benard problem for nonlinear heat conduction: unconditional stability

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