Existence of solutions to a phase-field model with phase-dependent heat absorption
Date
2007-02-12
Authors
Planas, Gabriela
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Phase transitions, Parabolic system, Phase-field models
Citation
Planas, G. (2007). Existence of solutions to a phase-field model with phase-dependent heat absorption. <i>Electronic Journal of Differential Equations, 2007</i>(28), pp. 1-12.