Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics
type: Item
instance of: scholarly article
title: Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics
zbMATH Open document ID: 1404.35268
author: Michele Colturato
published in: Evolution Equations and Control Theory
publication date: 2019-01-18T00:00:00Z
Mathematics Subject Classification ID: 35K61
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 7003541
zbMATH Keywords: phase field system
zbMATH Keywords: maximal monotone nonlinearities
zbMATH Keywords: nonlocal terms
zbMATH Keywords: initial and boundary value problem
zbMATH Keywords: existence and uniqueness of solutions
zbMATH Keywords: longtime behavior
MaRDI profile type: Publication
full work available at URL: eect.2018011
OpenAlex ID: W2800639774
cites work: Q4094029
cites work: Nonlinear Differential Equations of Monotone Types in Banach Spaces
cites work: Sliding Mode Control for a Nonlinear Phase-Field System
cites work: Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation
cites work: Q4308948
cites work: Global solution to a singular integro-differential system related to the entropy balance
cites work: Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity
cites work: A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE
cites work: Singular limit of an integrodifferential system related to the entropy balance
cites work: A phase transition model with the entropy balance
cites work: A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions
cites work: Q5665783
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Solvability of a class of phase field systems related to a sliding mode control problem.
cites work: Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws
cites work: Q4254462
cites work: Q4667137
cites work: Q2759325
cites work: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
cites work: Q3997729
cites work: Approximation of nonlinear evolution systems
cites work: Q5823233
cites work: On the relation between the standard phase-field model and a ``thermodynamically consistent'' phase-field model
cites work: Compact sets in the space \(L^ p(0,T;B)\)
Wikidata QID: Q129848849
DOI: 10.3934/EECT.2018011
description: scientific article; zbMATH DE number 7003541