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A type III phase-field system with a logarithmic potential

✍ Scribed by Alain Miranville; Ramon Quintanilla

Book ID: 104001102
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 222 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.01.016

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✦ Synopsis

Our aim in this note is to study the existence and uniqueness of solutions to a phase-field system, based on type III heat conduction, with a logarithmic potential. The main difficulty is to prove that the order parameter remains in the physically relevant range and this is achieved by deriving proper a priori estimates.

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