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A generalization of the Caginalp phase-field system based on the Cattaneo law
| dc.contributor.author | Miranville, Alain |
| dc.contributor.author | Quintanilla de Latorre, Ramón |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
| dc.date.accessioned | 2010-03-16T16:38:28Z |
| dc.date.available | 2010-03-16T16:38:28Z |
| dc.date.created | 2009 |
| dc.date.issued | 2009 |
| dc.identifier.citation | Miranville, A.; Quintanilla, R. A generalization of the Caginalp phase-field system based on the Cattaneo law. "Nonlinear analysis: theory, methods and applications", 2009, vol. 71, núm. 5-6, p. 2278-2290. |
| dc.identifier.uri | http://hdl.handle.net/2117/6662 |
| dc.description.abstract | We consider in this article a generalization of the Caginalp model for phase transitions based on the Maxwell Cattaneo law, instead of the classical Fourier law. In particular, we prove the existence and uniqueness of solutions. We finally study the spatial behavior of the solutions in a semi-infinite cylinder. |
| dc.format.extent | 13 p. |
| dc.language.iso | eng |
| dc.publisher | Elsevier |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Spatial behavior |
| dc.subject.lcsh | Stability |
| dc.subject.lcsh | Mathematical models |
| dc.title | A generalization of the Caginalp phase-field system based on the Cattaneo law |
| dc.type | Article |
| dc.subject.lemac | Models matemàtics |
| dc.subject.lemac | Estabilitat |
| dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
| dc.identifier.doi | 10.1016/j.na.2009.01.061 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 2044728 |
| dc.description.version | Postprint (published version) |
| local.citation.author | Miranville, A.; Quintanilla, R. |
| local.citation.publicationName | Nonlinear analysis: theory, methods and applications |
| local.citation.volume | 71 |
| local.citation.number | 5-6 |
| local.citation.startingPage | 2278 |
| local.citation.endingPage | 2290 |
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