Existence of solutions to a phase-field model with phase-dependent heat absorption
Texas State University-San Marcos, Department of Mathematics
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.
Phase transitions, Parabolic system, Phase-field models
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.