Geodesic
Existence and approximation of solutions to an anisotropic phase field system for the kinetics of phase transitions
Olaf Klein1
1Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Interfaces and free boundaries, Tome 4 (2002) no. 1, pp. 47-70

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DOI

This paper is concerned with a phase field system of Penrose-Fife type for a non-conserved order parameter with a kinetic relaxation coefficient depending on the gradient of the order parameter. This system can be used to model the anisotropic solidification of liquids. A time-discrete scheme for an initial-boundary value problem to this system is presented. By proving the convergence of this scheme, the existence of a solution to the problem is shown.
DOI : 10.4171/ifb/52
Classification : 46-XX, 60-XX
Mots-clés : Phase-field model; anisotropy; semidiscretization; convergence

Olaf Klein  1

1 Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany 
Olaf Klein. Existence and approximation of solutions to an anisotropic phase field system for the kinetics of phase transitions. Interfaces and free boundaries, Tome 4 (2002) no. 1, pp. 47-70. doi: 10.4171/ifb/52
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