Journal
APPLIED MATHEMATICS LETTERS
Volume 24, Issue 6, Pages 1003-1008Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2011.01.016
Keywords
Phase-field system; Type III heat conduction; Well-posedness; Logarithmic potential
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Funding
- [MTM2009-08150]
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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. (C) 2011 Elsevier Ltd. All rights reserved.
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