SECOND-ORDER INTERFACE EQUATIONS FOR NONLINEAR DIFFUSION WITH VERY STRONG ABSORPTION

DOI10.1142/S0219199799000031zbMath0973.35096OpenAlexW1996199667MaRDI QIDQ4514922

Sergei I. Shmarev, Juan Luis Vazquez, Victor A. Galaktionov

Publication date: 14 November 2000

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199799000031

zbMATH Keywords

porous medium equationweak nonnegative solutionsstrong absorption casevery singular range

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35)

Related Items (6)

Extinction behaviour for fast diffusion equations with absorption ⋮ Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up ⋮ The Nonlinearly Damped Oscillator ⋮ LYAPUNOV FUNCTIONALS IN SINGULAR LIMITS FOR PERTURBED QUASILINEAR DEGENERATE PARABOLIC EQUATIONS ⋮ Self-similar solutions satisfying or not the equation of the interface. ⋮ Interfaces in multidimensional diffusion equations with absorption terms

Cites Work

• Necessary and sufficient conditions for complete blow-up and extinction for one-dimensional quasilinear heat equations
• Geometrical properties of the solutions of one-dimensional nonlinear parabolic equations
• Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium

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