A Caginalp phase-field system based on type III heat conduction with two temperatures
Our aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness results and study the dissipativity of the associated solution operators. We con...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/87512 |
| Acceso en línea: | https://hdl.handle.net/2117/87512 https://dx.doi.org/10.1090/qam/1430 |
| Access Level: | acceso abierto |
| Palabra clave: | Applied mathematics Thermoelasticity Caginalp system Type III thermomechanics Two temperatures Well-posedness Dissipativity Spatial behavior Phragmén-Lindelöf alternative Matemàtica aplicada Termoelasticitat Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | Our aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness results and study the dissipativity of the associated solution operators. We consider here both regular and singular nonlinear terms. Furthermore, we endow the equations with two types of boundary conditions, namely, Dirichlet and Neumann. Finally, we study the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist. |
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