WIAS Preprint No. 1042, (2005)
Existence and asymptotic analysis of a phase field model for supercooling
- Klein, Olaf
- Luterotti, Fabio
- Rossi, Riccarda
2010 Mathematics Subject Classification
- 80A22 36K60 35R35
- Phase field system, supercooling, Young measures
We prove an existence result for an initial-boundary value problem which models a perturbation of a phase transition phenomenon with supercooling effects. When the perturbation parameter goes to 0, an asymptotic analysis is performed. It leads to an existence result for a slight modification of the original problem in the framework of Young measures.
- Quart. Appl. Math., 64 (2006) pp. 291-319.