JournalsifbVol. 4 , No. 1DOI 10.4171/ifb/52

Existence and approximation of solutions to an anisotropic phase field system for the kinetics of phase transitions

  • Olaf Klein

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Existence and approximation of solutions to an anisotropic phase field system for the kinetics of phase transitions cover

Abstract

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.