Our aim in this article is to study generalizations of the Caginalp phasefield
system based on a thermomechanical theory of deformable continua
proposed by Green and Naghdi. In particular, we obtain well-posedness
results and study the asymptotic and spatial behaviours of the solutions.
Quintanilla, R.; Miranville, A. Some generalizations of the Caginalp phase-field system. "Applicable analysis: an international journal", Juny 2009, vol. 88, núm. 6, p. 877-894.