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
Robust exponential attractors for a phase-field system with memory
β 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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## Abstract We consider a conserved phaseβfield system on a triβdimensional 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
## Abstract We consider a conserved phaseβfield 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 GurtinβPipkin type, so that the eq