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On a Penrose–Fife type system with Dirichlet boundary conditions for temperature

✍ Scribed by Gianni Gilardi; Andrea Marson

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
185 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We deal with the Dirichlet problem for a class of Penrose–Fife phase field models for phase transitions. An existence result is obtained by approximating the non‐homogeneous Dirichlet condition with classical third type conditions on the heat flux at the boundary of the domain where the model is considered. Moreover, we prove a regularity and uniqueness result under stronger assumptions on the regularity of the data. Suitable assumptions on the behaviour of the heat flux at zero and +∞are considered. Copyright © 2003 John Wiley & Sons, Ltd.

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