A nonlocal phase-field model with nonconstant specific heat

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Date
2006
Volume
1115
Issue
Journal
Series Titel
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

We prove the existence, uniqueness, thermodynamic consistency, global boundedness from both above and below, and continuous data dependence for a strong 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.

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Keywords
Phase transition, nonlocal models, integrodifferential equations
Citation
Krejčí, P., Rocca, E., & Sprekels, J. (2006). A nonlocal phase-field model with nonconstant specific heat (Vol. 1115). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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