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 E_ω which is robust as ω→0.
Robust exponential attractors for a family of nonconserved phase-field systems with memory / Gatti, Stefania; Grasselli, M; Pata, V; Squassina, M.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 12:5(2005), pp. 1019-1029. [10.3934/dcds.2005.12.1019]
Robust exponential attractors for a family of nonconserved phase-field systems with memory
GATTI, Stefania;
2005
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 E_ω which is robust as ω→0.
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