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On a phase-field model with a logarithmic nonlinearity

✍ Scribed by Alain Miranville

Book ID
118795140
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
142 KB
Volume
57
Category
Article
ISSN
0862-7940

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A type III phase-field system with a log
A type III phase-field system with a logarithmic potential
✍ Alain Miranville; Ramon Quintanilla πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 222 KB

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 prop