Regularity of interfaces in diffusion processes under the influence of strong absorption

DOI10.1007/S002050050172zbMath0938.35082OpenAlexW1997016377MaRDI QIDQ1818929

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

Publication date: 12 June 2000

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050172

zbMATH Keywords

interface equationfree boundaries

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items (13)

The halting of contact lines in slender viscous films driven by gravity and surface tension gradients ⋮ Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption ⋮ Interface behaviour of the slow diffusion equation with strong absorption: Intermediate-asymptotic properties ⋮ Discrete solutions for the porous medium equation with absorption and variable exponents ⋮ Smoothing effect of absorption for degenerate parabolic equations in 1-d ⋮ Extinction behaviour for fast diffusion equations with absorption ⋮ The Nonlinearly Damped Oscillator ⋮ On some local property of the shape of interfaces for the porous media equation ⋮ Numerical Renormalization Group Algorithms for Self-Similar Asymptotics of Partial Differential Equations ⋮ Spatial profile of the dead core for the fast diffusion equation with dependent coefficient ⋮ Self-Similar Solutions for Reversing Interfaces in the Slow Diffusion Equation with Strong Absorption ⋮ Self-similar solutions satisfying or not the equation of the interface. ⋮ Interfaces in multidimensional diffusion equations with absorption terms

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