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A Caginalp phase-field system with a nonlinear coupling
Miranville, Alain; Quintanilla de Latorre, Ramón
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
Our aim in this article is to study a Caginalp phase-field system based on a thermomechanicaltheory of deformable continua proposed by Green and Naghdi (called type IIIthermoelasticity) and with a nonlinear coupling. In particular, we prove the existence anduniqueness of solutions and the dissipativity of the associated semigroup. We then studythe spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist.
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
Applied mathematics
Matemàtica aplicada
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