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Robust exponential attractors for a phase-field system with memory

✍ Scribed by Maurizio Grasselli; Vittorino Pata


Book ID
105765397
Publisher
Springer
Year
2005
Tongue
English
Weight
170 KB
Volume
5
Category
Article
ISSN
1424-3199

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πŸ“œ SIMILAR VOLUMES


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We consider a conserved phase-field system of Caginalp type, characterized by the assumption that both the internal energy and the heat flux depend on the past history of the temperature and its gradient, respectively. The model consists of a parabolic integrodifferential equation, coupled with a fo

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## Abstract We consider a conserved phase‐field system on a tri‐dimensional bounded domain. The heat conduction is characterized by memory effects depending on the past history of the (relative) temperature Ο‘, which is represented through a convolution integral whose relaxation kernel __k__ is a su

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✍ Maurizio Grasselli; Vittorino Pata πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

## Abstract We consider a conserved phase‐field system of Caginalp type, characterized by the assumption that both the internal energy and the heat flux depend on the past history of the temperature and its gradient, respectively. The latter dependence is a law of Gurtin–Pipkin type, so that the eq