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.

Rights

Attribution 4.0 International

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