Spatial decay for several phase-field models
| 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 | 2013-12-05T15:30:33Z |
| dc.date.created | 2013-10 |
| dc.date.issued | 2013-10 |
| dc.identifier.citation | Miranville, A.; Quintanilla, R. Spatial decay for several phase-field models. "ZAMM: Zeitschrift fur angewandte mathematik und mechanik", Octubre 2013, vol. 93, núm. 10-11, p. 801-810. |
| dc.identifier.issn | 0044-2267 |
| dc.identifier.uri | http://hdl.handle.net/2117/20931 |
| dc.description.abstract | In this paper, we study the spatial behavior of three phase-field models. First, we consider the Cahn-Hilliard equation and we obtain the exponential decay of solutions under suitable assumptions on the data. Then, for the classical isothermal phase-field equation (i.e., the Allen-Cahn equation), we prove the nonexistence and the fast decay of solutions and, for the nonisothermal case governed by the Fourier law, we obtain a Phragm ́ en-Lindel ̈ of alternative of exponential type, respectively. |
| dc.format.extent | 10 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| dc.subject.lcsh | Differential equations, Partial |
| dc.subject.other | Phase-field models |
| dc.subject.other | Spatial decay |
| dc.subject.other | Exponential decay |
| dc.subject.other | Fast decay |
| dc.subject.other | Phragmén-Lindelöf alternative |
| dc.title | Spatial decay for several phase-field models |
| dc.type | Article |
| dc.subject.lemac | Equacions diferencials parcials |
| dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
| dc.identifier.doi | 10.1002/zamm.201200131 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application |
| dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200131/pdf |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 12778317 |
| dc.description.version | Postprint (published version) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Miranville, A.; Quintanilla, R. |
| local.citation.publicationName | ZAMM: Zeitschrift fur angewandte mathematik und mechanik |
| local.citation.volume | 93 |
| local.citation.number | 10-11 |
| local.citation.startingPage | 801 |
| local.citation.endingPage | 810 |
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