Phase-field systems as mathematical models for phase transitions have drawn increasing attention in recent years. However, while capable of capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition pro
Hysteresis in phase-field models with thermal memory
✍ Scribed by Gianni Gilardi; Pavel Krejčí; Jürgen Sprekels
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 136 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0170-4214
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We consider a non-conserved phase-field system which consists of two nonlinearly coupled hyperbolic integrodifferential equations. This model is derived from two basic assumptions: the heat flux law is of Gurtin-Pipkin type and the response of the order parameter to the variation of the free energy
## Communicated by B. Brosowski A phase-field model based on the Coleman-Gurtin heat flux law is considered. The resulting system of non-linear parabolic equations, associated with a set of initial and Neumann boundary conditions, is studied. Existence, uniqueness, and regularity results are prove
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