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 initial-boundary value problem for the PDE system associated to the model, allowing the phase conguration of the material to be described by a singular function.
The Penrose-Fife phase-field model with coupled dynamic boundary conditions
ROCCA, ELISABETTA;SCHIMPERNA, GIULIO FERNANDO;SEGATTI, ANTONIO GIOVANNI
2014-01-01
Abstract
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 initial-boundary value problem for the PDE system associated to the model, allowing the phase conguration of the material to be described by a singular function.File in questo prodotto:
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