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A singularly perturbed phase field model with a logarithmic nonlinearity: Upper-semicontinuity of the attractor

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Publication:1582100
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DOI10.1016/S0362-546X(98)00306-XzbMath0960.35005OpenAlexW1965778364MaRDI QIDQ1582100

Cédric Dupaix

Publication date: 10 May 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00306-x


zbMATH Keywords

Cahn-Hilliard equationphase field systemmaximal attractor


Mathematics Subject Classification ID

Attractors (35B41) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25)


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Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy ⋮ The Cahn–Hilliard equation as limit of a conserved phase-field system ⋮ On the conserved Caginalp phase-field system with logarithmic potentials based on the Maxwell-Cattaneo law with two temperatures ⋮ On a Cahn-Hilliard/Allen-Cahn system coupled with a type III heat equation and singular potentials ⋮ Regularity and separation from potential barriers for a non-local phase-field system



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