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Regularity and convergence results for a phase–field model with memory

✍ Scribed by Giovanna Bonfanti; Fabio Luterotti

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
169 KB
Volume
21
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by B. Brosowski

A phase-field model based on the Coleman-Gurtin heat flux law is considered. The resulting system of non-linear parabolic equations, associated with a set of initial and Neumann boundary conditions, is studied. Existence, uniqueness, and regularity results are proved. An asymptotic analysis is also carried out, in the case where the coefficient of the interfacial energy term tends to 0.

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