Singular limit of a transmission problem for the parabolic phase-field model.
type: Item
instance of: scholarly article
title: Singular limit of a transmission problem for the parabolic phase-field model.
zbMATH Open document ID: 1058.35041
DOI: 10.1023/A:1023070928404
author: Giulio Schimperna
published in: Applications of Mathematics
publication date: 2000-10-15T00:00:00Z
full work available at URL: https://eudml.org/doc/33056
review text: Two standard phase-field systems with different physical parameters are considered in two adjacent domains with transmission conditions on the fixed common boundary, as a model for solid-liquid phase transitions in two different substances with heat exchange across the interface. The author proves the existence of a weak solution in the case of positive phase relaxation coefficients. If one of these coefficients tends to zero, it is shown that the corresponding solutions converge to the unique weak solution of the limit system.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 1516992
zbMATH Keywords: phase-field models
zbMATH Keywords: maximal monotone operators
zbMATH Keywords: transmission problems
zbMATH Keywords: parabolic equations
zbMATH Keywords: singular transition
reviewed by: Pavel Krejč{í }
MaRDI profile type: Publication
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OpenAlex ID: W156695552
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description: scientific article; zbMATH DE number 1516992