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 infinity are considered.

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

GILARDI, GIANNI MARIA;
2003-01-01

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 infinity are considered.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/136075
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