Some mathematical models in phase transition

Alain Miranville

doi:10.3934/dcdss.2014.7.271

Article Contents

2014, Volume 7, Issue 2: 271-306. Doi: 10.3934/dcdss.2014.7.271

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Some mathematical models in phase transition

Alain Miranville^1,

1.
Laboratoire de Mathématiques et Applications, Université de Poitiers, Boulevard Marie et Pierre Curie - Téléport 2, F-86962 Chasseneuil Futuroscope Cedex

Received: February 28, 2013

Revised: June 30, 2013

Published: March 2014

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Abstract

Our aim in these notes is to discuss the well-posedness and the asymptotic behavior, in terms of finite-dimensional attractors, of models in phase transition. In particular, we focus on the Caginalp phase field model.

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Mathematics Subject Classification: 35B41, 35K55.

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