Electron. J. Diff. Eqns., Vol. 2007(2007), No. 28, pp. 1-12.

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

Gabriela Planas

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.

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Gabriela Planas
Departamento de Matematica
Instituto de Ciencias Matematicas e de Computacao
Universidade de Sao Paulo - Campus de Sao Carlos
Caixa Postal 668, Sao Carlos, SP 13560-970, Brazil
email: gplanas@icmc.usp.br

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