Free Boundary Convergence in the Homogenization of the One Phase Stefan Problem

DOI10.2307/1999510zbMath0504.35079OpenAlexW4250743494MaRDI QIDQ4741114

José-Francisco Rodrigues

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999510

zbMATH Keywords

homogenizationgranular mediumone phase Stefan problemfree boundary convergencenonconstant thermal diffusivity

Mathematics Subject Classification ID

Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Theoretical approximation in context of PDEs (35A35) Free boundary problems for PDEs (35R35)

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The variational inequality approach to the one-phase Stefan problem ⋮ Long-time behavior of the one-phase Stefan problem in periodic and random media ⋮ Homogenization of one-phase Stefan-type problems in periodic and random media ⋮ Optimal shape design for systems governed by variational inequalities. II: Existence theory for the evolution case ⋮ Heterogeneity and strong competition in ecology ⋮ Homogenization of some degenerate pseudoparabolic variational inequalities ⋮ On a class of parabolic unilateral problems ⋮ Homogenization of a Hele-Shaw problem in periodic and random media ⋮ Convergence of the coincidence set in the homogenization of the obstacle problem

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