Asymptotic and other properties of a nonlinear diffusion model

DOI10.1006/jmaa.1998.6121zbMath0922.35076OpenAlexW3022978420MaRDI QIDQ1276376

Salvatore Rionero, James N. Flavin

Publication date: 11 October 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6121

zbMATH Keywords

conditions under which each solution tends toward a steady state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (7)

Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum ⋮ Stability properties for nonlinear diffusion in porous and other media ⋮ A nonlinear fourth order diffusion problem: convergence to the steady state and non-negativity of solutions ⋮ Asymptotic Properties of Solutions to Nonlinear Possibly Degenerated Parabolic Equations in Unbounded Domains ⋮ The effect of density-dependent dispersal on the stability of populations ⋮ The evolution to a steady state for a porous medium model ⋮ On an ILL-posed problem in nonlinear heat conduction

Cites Work

• The behavior of solutions of quasi-linear heat equations
• On the temperature distribution in cold ice
• Regularity properties for the heat equation subject to nonlinear boundary constraints
• DECAY AND OTHER ESTIMATES FOR AN ELASTIC CYLINDER
• The Benard problem for nonlinear heat conduction: unconditional stability
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