Existence and approximation of solutions to an anisotropic phase field system of Penrose-Fife type
- Klein, Olaf
2010 Mathematics Subject Classification
- 65M12 35K50 80A22 35K60 35R35
- Phase-field model, Penrose-Fife model, anisotropie, semidiscretization, convergence
This paper is concerned with a phase field system of Penrose-Fife type for a non-conserved order parameter χ with a kinetic relaxation coefficient depending on the gradient of χ. This system can be used to model the dendritic solidification of liquids. A time discrete scheme for an initial-boundary value problem tothis system is presented. By proving the convergence of this scheme, the existence of a solution to the problem is shown.
- Interfaces and Free Boundaries, 4(2002)1, pp. 47-70, with new title:Existence and approximation of solutions to ananisotropic phase field system for the kinetics of phase transition.