Our aim in this article is to study a Caginalp phase-field system based on a thermomechanical
theory of deformable continua proposed by Green and Naghdi (called type III
thermoelasticity) and with a nonlinear coupling. In particular, we prove the existence and
uniqueness of solutions and the dissipativity of the associated semigroup. We then study
the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist.
Miranville, A.; Quintanilla, R. A Caginalp phase-field system with a nonlinear coupling. "Nonlinear analysis: real world applications", 01 Agost 2010, vol. 11, núm. 4, p. 2849-2861.