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Title:
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A Caginalp phase-field system with a nonlinear coupling
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Author:
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Miranville, Alain; Quintanilla de Latorre, Ramón
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Thermoelasticity
-Applied mathematics
-Matemàtica aplicada
-Termoelasticitat |
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Rights:
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Document type:
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Article - Published version
Article |
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