The singular limit dynamics of the phase-field equations

Ahmed Bonfoh

doi:10.1007/s10231-010-0141-6

The singular limit dynamics of the phase-field equations

Ahmed Bonfoh^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We consider the phase-field equations subject to Dirichlet boundary conditions. We construct families of exponential attractors and inertial manifolds which are continuous at any parameter of perturbation ε > 0 including the singular limit case ε = 0. Besides, the continuity at ε = 0 is obtained with respect to a metric independent of ε. Continuity properties of the global attractors are also examined.

Original language	English
Pages (from-to)	105-144
Number of pages	40
Journal	Annali di Matematica Pura ed Applicata
Volume	190
Issue number	1
DOIs	https://doi.org/10.1007/s10231-010-0141-6
State	Published - Jan 2011

Keywords

Exponential attractors
Global attractors
Inertial manifolds
Phase-field equations

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1007/s10231-010-0141-6

Cite this

@article{265ae66332c54dc3857bec07876f183e,

title = "The singular limit dynamics of the phase-field equations",

abstract = "We consider the phase-field equations subject to Dirichlet boundary conditions. We construct families of exponential attractors and inertial manifolds which are continuous at any parameter of perturbation ε > 0 including the singular limit case ε = 0. Besides, the continuity at ε = 0 is obtained with respect to a metric independent of ε. Continuity properties of the global attractors are also examined.",

keywords = "Exponential attractors, Global attractors, Inertial manifolds, Phase-field equations",

author = "Ahmed Bonfoh",

year = "2011",

month = jan,

doi = "10.1007/s10231-010-0141-6",

language = "English",

volume = "190",

pages = "105--144",

journal = "Annali di Matematica Pura ed Applicata",

issn = "0373-3114",

publisher = "Springer Nature",

number = "1",

}

TY - JOUR

T1 - The singular limit dynamics of the phase-field equations

AU - Bonfoh, Ahmed

PY - 2011/1

Y1 - 2011/1

N2 - We consider the phase-field equations subject to Dirichlet boundary conditions. We construct families of exponential attractors and inertial manifolds which are continuous at any parameter of perturbation ε > 0 including the singular limit case ε = 0. Besides, the continuity at ε = 0 is obtained with respect to a metric independent of ε. Continuity properties of the global attractors are also examined.

AB - We consider the phase-field equations subject to Dirichlet boundary conditions. We construct families of exponential attractors and inertial manifolds which are continuous at any parameter of perturbation ε > 0 including the singular limit case ε = 0. Besides, the continuity at ε = 0 is obtained with respect to a metric independent of ε. Continuity properties of the global attractors are also examined.

KW - Exponential attractors

KW - Global attractors

KW - Inertial manifolds

KW - Phase-field equations

UR - https://www.scopus.com/pages/publications/78650753692

U2 - 10.1007/s10231-010-0141-6

DO - 10.1007/s10231-010-0141-6

M3 - Article

AN - SCOPUS:78650753692

SN - 0373-3114

VL - 190

SP - 105

EP - 144

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

IS - 1

ER -

The singular limit dynamics of the phase-field equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this