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Decay of solutions for a mixture of thermoelastic solids with different temperatures
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 Matemàtiques |
dc.date.accessioned | 2016-02-26T12:23:01Z |
dc.date.available | 2018-02-06T01:30:21Z |
dc.date.issued | 2016-02-06 |
dc.identifier.citation | Muñoz, J., Naso, M., Quintanilla, R. Decay of solutions for a mixture of thermoelastic solids with different temperatures. "Computers & mathematics with applications", 06 Febrer 2016, vol. 71, núm. 4, p. 991-1009. |
dc.identifier.issn | 0898-1221 |
dc.identifier.uri | http://hdl.handle.net/2117/83494 |
dc.description.abstract | We study a system modeling thermomechanical deformations for mixtures of thermoelastic solids with two different temperatures, that is, when each component of the mixture has its own temperature. In particular, we investigate the asymptotic behavior of the related solutions. We prove the exponential stability of solutions for a generic class of materials. In case of the coupling matrix View the MathML source being singular, we find that in general the corresponding semigroup is not exponentially stable. In this case we obtain that the corresponding solution decays polynomially as t-1/2 in case of Neumann boundary condition. Additionally, we show that the rate of decay is optimal. For Dirichlet boundary condition, we prove that the rate of decay is t-1/6. Finally, we demonstrate the impossibility of time-localization of solutions in case that two coefficients (related with the thermal conductivity constants) agree. |
dc.format.extent | 19 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Differential equations |
dc.subject.lcsh | Elastic solids |
dc.subject.other | Thermoelasticmixtures |
dc.subject.other | Exponential decay |
dc.subject.other | Weakly coupleds ystem |
dc.title | Decay of solutions for a mixture of thermoelastic solids with different temperatures |
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.identifier.doi | 10.1016/j.camwa.2016.01.010 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids |
dc.rights.access | Open Access |
local.identifier.drac | 17524853 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Muñoz, J.; Naso, M.; Quintanilla, R. |
local.citation.publicationName | Computers & mathematics with applications |
local.citation.volume | 71 |
local.citation.number | 4 |
local.citation.startingPage | 991 |
local.citation.endingPage | 1009 |
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