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.
Gatti, S., Grasselli, M., Pata, V., Squassina, M., Robust exponential attractors for a family of nonconserved phase-field systems with memory, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS>>, 2005; 12 (N/A): 1019-1029. [doi:10.3934/dcds.2005.12.1019] [http://hdl.handle.net/10807/91015]
Robust exponential attractors for a family of nonconserved phase-field systems with memory
Squassina, MarcoUltimo
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 Eω which is robust as ω → 0.
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