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Decay of solutions for a mixture of thermoelastic one dimensional solids
dc.contributor.author | Muñoz Rivera, Jaime E. |
dc.contributor.author | Naso, Maria-Grazia |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2013-06-17T16:52:48Z |
dc.date.created | 2013-08-01 |
dc.date.issued | 2013-08-01 |
dc.identifier.citation | Muñoz Rivera, J.; Naso, M.; Quintanilla, R. Decay of solutions for a mixture of thermoelastic one dimensional solids. "Computers & mathematics with applications", 01 Agost 2013, vol. 66, núm. 1, p. 41-55. |
dc.identifier.issn | 0898-1221 |
dc.identifier.uri | http://hdl.handle.net/2117/19560 |
dc.description.abstract | We study a PDE system modeling thermomechanical deformations for a mixture of thermoelastic solids. In particular we investigate the asymptotic behavior of the solutions. First, we identify conditions on the constitutive coefficients to guarantee that the imaginary axis is contained in the resolvent. Subsequently, we find the necessary and sufficient conditions to guarantee the exponential decay of solutions. When the decay is not of exponential type, we prove that the solutions decay polynomially and we find the optimal polynomial decay rate. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Differential equations |
dc.title | Decay of solutions for a mixture of thermoelastic one dimensional solids |
dc.type | Article |
dc.subject.lemac | Sòlids elàstics |
dc.subject.lemac | Equacions diferencials parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids |
dc.subject.ams | Classificació AMS::35 Partial differential equations |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.camwa.2013.03.022 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 12493855 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Muñoz Rivera, J.; Naso, M.; Quintanilla, R. |
local.citation.publicationName | Computers & mathematics with applications |
local.citation.volume | 66 |
local.citation.number | 1 |
local.citation.startingPage | 41 |
local.citation.endingPage | 55 |
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