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Spatial behaviour of solutions of the Moore-Gibson-Thompson equation

dc.contributor.authorOstoja-Starzewski, Martin
dc.contributor.authorQuintanilla de Latorre, Ramón
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2021-11-05T12:33:08Z
dc.date.available2022-10-15T00:25:41Z
dc.date.issued2021-11
dc.identifier.citationOstoja-Starzewski, M.; Quintanilla, R. Spatial behaviour of solutions of the Moore-Gibson-Thompson equation. "Journal of Mathematical Fluid Mechanics", Novembre 2021, vol. 23, núm. 4, article 105.
dc.identifier.issn1422-6952
dc.identifier.urihttp://hdl.handle.net/2117/355708
dc.description.abstractIn this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, we show that the solutions also decay exponentially in certain directions.
dc.language.isoeng
dc.publisherSpringer Nature
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshThermoelasticity
dc.subject.otherMoore-Gibson-Thompson equation
dc.subject.otherSpatial estimates
dc.subject.otherDomain of influence
dc.subject.otherExponential decay
dc.titleSpatial behaviour of solutions of the Moore-Gibson-Thompson equation
dc.typeArticle
dc.subject.lemacTermoelasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
dc.identifier.doi10.1007/s00021-021-00629-4
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs00021-021-00629-4
dc.rights.accessOpen Access
local.identifier.drac32103777
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105118GB-I00/ES/ANALISIS MATEMATICO APLICADO A LA TERMOMECANICA/
local.citation.authorOstoja-Starzewski, M.; Quintanilla, R.
local.citation.publicationNameJournal of Mathematical Fluid Mechanics
local.citation.volume23
local.citation.number4
local.citation.startingPage105:1
local.citation.endingPage105:10


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