Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions
- Krejčí, Pavel
- Rocca, Elisabetta
- Sprekels, Jürgen
2010 Mathematics Subject Classification
- 80A22 35K50 45K05 35B50
- Phase transition, nonlocal model, integrodifferential heat equation
We propose a model for non-isothermal phase transitions with non-conserved order parameter driven by a spatially nonlocal free energy with respect to both the temperature and the order parameter. The resulting system of equations is shown to be thermodynamically consistent and to admit a strong solution.
- J. London Math. Soc. (2), 76 (2007) pp. 197-210.