Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness
type: Item
instance of: scholarly article
title: Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness
zbMATH Open document ID: 1178.35073
author: Pedro Marín-Rubio
author: Gabriela Planas
author: José Real
published in: Journal of Differential Equations
publication date: 2009-06-10T00:00:00Z
full work available at URL: https://idus.us.es/xmlui/handle/11441/25949
review text: The authors study a nonlinear parabolic system of three partial differential equations with independent variables: phase-field (the state variable characterizing the different phases), the temperature, and the concentration indicating the fraction of one of the two materials in the mixture. The existence of weak solutions for the system is proved. By applying the method of multivalued dynamical systems, the existence of families of global attractors (level-set depending) in several phase-spaces is established and the relations between them are investigated.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 5563800
zbMATH Keywords: multivalued dynamical system
zbMATH Keywords: system of three equations
zbMATH Keywords: families of global attractors
reviewed by: Valerii V. Obukhovskij
MaRDI profile type: Publication
OpenAlex ID: W2057022906
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DOI: 10.1016/J.JDE.2009.01.021
description: scientific article; zbMATH DE number 5563800