Geodesic
A nonlocal phase-field model with nonconstant specific heat
Pavel Krejcí1 ; Elisabetta Rocca2 ; Jürgen Sprekels3
1Academy of Sciences, Praha, Czech Republic
2Università degli Studi di Milano, Italy
3Angewandte Analysis und Stochastik, Berlin, Germany
Interfaces and free boundaries, Tome 9 (2007) no. 2, pp. 285-306

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DOI

We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a solution to an integrodifferential model for nonisothermal phase transitions under nonhomogeneous mixed boundary conditions. The specific heat is allowed to depend on the order parameter, and the convex component of the free energy may or may not be singular.
DOI : 10.4171/ifb/165
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : Phase transitions, nonlocal models, integrodifferential equations

Pavel Krejcí  1   ; Elisabetta Rocca  2   ; Jürgen Sprekels  3

1 Academy of Sciences, Praha, Czech Republic
2 Università degli Studi di Milano, Italy
3 Angewandte Analysis und Stochastik, Berlin, Germany 
Pavel Krejcí; Elisabetta Rocca; Jürgen Sprekels. A nonlocal phase-field model with nonconstant specific heat. Interfaces and free boundaries, Tome 9 (2007) no. 2, pp. 285-306. doi: 10.4171/ifb/165
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     pages = {285--306},
     year = {2007},
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