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 [http://hdl.handle.net/10807/91015]

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

Squassina, Marco
Ultimo
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.
Inglese
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 [http://hdl.handle.net/10807/91015]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/91015
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