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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; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
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.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
Thermoelasticity
Applied mathematics
Matemàtica aplicada
Termoelasticitat
info:eu-repo/semantics/publishedVersion
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