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Spatial behavior for solutions in heat conduction with two delays
dc.contributor.author | Leseduarte Milán, María Carme |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2015-10-20T15:32:43Z |
dc.date.available | 2016-11-01T01:30:43Z |
dc.date.issued | 2015-11-01 |
dc.identifier.citation | Leseduarte, M. C., Quintanilla, R. Spatial behavior for solutions in heat conduction with two delays. "Applicable analysis: an international journal", 01 Novembre 2015, vol. 94, núm. 11, p. 2331-2341. |
dc.identifier.issn | 0003-6811 |
dc.identifier.uri | http://hdl.handle.net/2117/77992 |
dc.description.abstract | In this note, we investigate the spatial behavior of the solutions of the equation proposed to describe a theory for the heat conduction with two delay terms. We obtain an alternative of the Phragmén-Lindelöf type, which means that the solutions either decay or blow-up at infinity, both options in an exponential way. We also describe how to obtain an upper bound for the amplitude term. This is the first contribution on spatial behavior for partial differential equations involving two delay terms. We use energy arguments. The main point of the contribution is the use of an exponentially weighted energy function. |
dc.format.extent | 11 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 | Àrees temàtiques de la UPC::Física::Termodinàmica |
dc.subject.lcsh | Heat--Conduction |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Three dual-phase-lag heat conduction |
dc.subject.other | Two-temperature heat conduction |
dc.subject.other | Spatial estimate |
dc.subject.other | Energy argument |
dc.subject.other | Equation with delay |
dc.title | Spatial behavior for solutions in heat conduction with two delays |
dc.type | Article |
dc.subject.lemac | Equacions diferencials parcials |
dc.subject.lemac | Calor -- Conducció |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1080/00036811.2014.983488 |
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.subject.ams | Classificació AMS::35 Partial differential equations::35E Equations and systems with constant coefficients |
dc.subject.ams | Classificació AMS::80 Classical thermodynamics, heat transfer::80A Thermodynamics and heat transfer |
dc.relation.publisherversion | http://www.tandfonline.com/doi/abs/10.1080/00036811.2014.983488 |
dc.rights.access | Open Access |
local.identifier.drac | 16890277 |
dc.description.version | Postprint (author’s final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2013-42004-P/ES/ANALISIS MATEMATICO DE LAS ECUACIONES EN DERIVADAS PARCIALES DE LA TERMOMECANICA/ |
local.citation.author | Leseduarte, M. C.; Quintanilla, R. |
local.citation.publicationName | Applicable analysis: an international journal |
local.citation.volume | 94 |
local.citation.number | 11 |
local.citation.startingPage | 2331 |
local.citation.endingPage | 2341 |
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