Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 28, pp. 1-12.

Title:  Existence of solutions to a phase-field model with
        phase-dependent heat absorption

Author: Gabriela Planas (Univ. de Sao Paulo, Sao Carlos, Brazil)
 
Abstract:
 We consider a phase-field model for a phase change process with
 phase-dependent heat absorption. This model describes the behaviour
 of films exposed to radiative heating, where the film can change
 reversibly between amorphous and crystalline states. Existence and
 uniqueness of solutions as well as stability are established.
 Moreover, a maximum principle is proved for the phase-field
 equation.
  
Submitted November 16, 2006. Published February 12, 2007.
Math Subject Classifications: 35K55, 80A22, 82B26, 35B65.
Key Words: Phase transitions; parabolic system; phase-field models.