Solvability of one-dimensional phase field systems associated with grain boundary motion
type: Item
instance of: scholarly article
title: Solvability of one-dimensional phase field systems associated with grain boundary motion
zbMATH Open document ID: 1270.35008
author: Ken Shirakawa
author: Noriaki Yamazaki
author: Hiroshi Watanabe
published in: Mathematische Annalen
publication date: 2013-05-30T00:00:00Z
review text: The authors investigate a system of two parabolic initial-boundary value problems, which is motivated by the phase field model of grain boundary motion, known as the Kobayashi-Warren-Carter model. They give a meaningful definition of solution to the considered system. The main result of the paper establishes the existence of solutions.
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35K87
Mathematics Subject Classification ID: 35R06
Mathematics Subject Classification ID: 35K67
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 6168461
zbMATH Keywords: singular diffusion
zbMATH Keywords: free energy
zbMATH Keywords: Kobayashi-Warren-Carter model
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s00208-012-0849-2
OpenAlex ID: W2091243262
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DOI: 10.1007/S00208-012-0849-2
description: scientific article; zbMATH DE number 6168461