The Penrose-Fife phase-field model with dynamic boundary conditions
Analysis of PDEs
2013-01-24 v1 Dynamical Systems
Abstract
In this paper we derive, starting from the basic principles of Thermodynamics, an extended version of the nonconserved Penrose-Fife phase transition model, in which dynamic boundary conditions are considered in order to take into account interactions with walls. Moreover, we study the well-posedness and the asymptotic behavior of the Cauchy problem for the PDE system associated to the model, allowing the phase configuration of the material to be described by a singular function.
Keywords
Cite
@article{arxiv.1301.5563,
title = {The Penrose-Fife phase-field model with dynamic boundary conditions},
author = {Alain Miranville and Elisabetta Rocca and Giulio Schimperna and Antonio Segatti},
journal= {arXiv preprint arXiv:1301.5563},
year = {2013}
}
Comments
32 pages