Robust exponential attractors for a family of nonconserved phase-field systems with memory

S. Gatti; M. Grasselli; V. Pata; Marco Squassina

doi:10.3934/dcds.2005.12.1019

Robust exponential attractors for a family of nonconserved phase-field systems with memory

S. Gatti
, M. Grasselli
, V. Pata
, Marco Squassina

University of Ferrara
Polytechnic University of Milan

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

7 Citations (Scopus)

Abstract

We consider a family of phase-field systems with memory effects in the temperature ϑ, depending on a parameter ω ≥ 0. Setting the problems in a suitable phase-space accounting for the past history of ϑ, we prove the existence of a family of exponential attractors Eω which is robust as ω → 0.

Original language	English
Pages (from-to)	1019-1029
Number of pages	11
Journal	Discrete and Continuous Dynamical Systems
Volume	12
DOIs	https://doi.org/10.3934/dcds.2005.12.1019
Publication status	Published - 2005

Keywords

robust attractors

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10.3934/dcds.2005.12.1019

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title = "Robust exponential attractors for a family of nonconserved phase-field systems with memory",

abstract = "We consider a family of phase-field systems with memory effects in the temperature ϑ, depending on a parameter ω ≥ 0. Setting the problems in a suitable phase-space accounting for the past history of ϑ, we prove the existence of a family of exponential attractors Eω which is robust as ω → 0.",

keywords = "robust attractors, robust attractors",

author = "S. Gatti and M. Grasselli and V. Pata and Marco Squassina",

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language = "English",

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T1 - Robust exponential attractors for a family of nonconserved phase-field systems with memory

AU - Gatti, S.

AU - Grasselli, M.

AU - Pata, V.

AU - Squassina, Marco

PY - 2005

Y1 - 2005

N2 - We consider a family of phase-field systems with memory effects in the temperature ϑ, depending on a parameter ω ≥ 0. Setting the problems in a suitable phase-space accounting for the past history of ϑ, we prove the existence of a family of exponential attractors Eω which is robust as ω → 0.

AB - We consider a family of phase-field systems with memory effects in the temperature ϑ, depending on a parameter ω ≥ 0. Setting the problems in a suitable phase-space accounting for the past history of ϑ, we prove the existence of a family of exponential attractors Eω which is robust as ω → 0.

KW - robust attractors

UR - http://hdl.handle.net/10807/91015

U2 - 10.3934/dcds.2005.12.1019

DO - 10.3934/dcds.2005.12.1019

M3 - Article

SN - 1078-0947

VL - 12

SP - 1019

EP - 1029

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

ER -

Robust exponential attractors for a family of nonconserved phase-field systems with memory

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Keywords

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