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arXiv · 1301.5563

The Penrose-Fife phase-field model with dynamic boundary conditions

Alain Miranville·Elisabetta Rocca·Giulio Schimperna·Antonio Segatti
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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.

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Alain Miranville, Elisabetta Rocca, Giulio Schimperna, Antonio Segatti. 2013-01-23. The Penrose-Fife phase-field model with dynamic boundary conditions. https://arxiv.org/abs/1301.5563

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