Stability for a phase field model with the total variation functional as the interfacial energy
type: Item
instance of: scholarly article
title: Stability for a phase field model with the total variation functional as the interfacial energy
zbMATH Open document ID: 1012.35006
DOI: 10.1016/S0362-546X(02)00307-3
author: Nobuyuki Kenmochi
author: Ken Shirakawa
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-04-27T00:00:00Z
review text: The large time behavior of solutions of a one-dimensional solid-liquid phase transition model is studied under a physical assumption on the initial data.
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K85
Mathematics Subject Classification ID: 74N99
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 1900941
zbMATH Keywords: large time behavior
zbMATH Keywords: local stability
zbMATH Keywords: stability of steady-state solutions
zbMATH Keywords: asymptotic convergence
zbMATH Keywords: one-dimensional solid-liquid phase transition
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
cites work: Q5665783
cites work: Q3134551
cites work: Attractors of nonlinear evolution systems generated by time-dependent subdifferentials in Hilbert spaces
cites work: Q4316820
cites work: A variational inequality for total variation functional with constraint
cites work: Q4824310
cites work: Models of phase transitions
description: scientific article; zbMATH DE number 1900941