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Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space.
| dc.contributor.author | Quintanilla de Latorre, Ramón |
| dc.contributor.author | Saccomandi, Giuseppe |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2020-09-04T07:24:45Z |
| dc.date.available | 2021-08-18T00:27:29Z |
| dc.date.issued | 2020-11 |
| dc.identifier.citation | Quintanilla, R.; Saccomandi, G. Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space. "Analysis and applications", Novembre 2020, vol. 18, num. 6, p. 1119-1137. |
| dc.identifier.issn | 0219-5305 |
| dc.identifier.uri | http://hdl.handle.net/2117/328378 |
| dc.description.abstract | We provide some spatial estimates for the nonlinear partial di erential equation governing anti-plane motions in a nonlinear viscoelastic theory of Kelvin-Voigt type when the viscosity is a function of the strain rate. The spatial estimates we prove are an alternative of Phragmen-Lindel of type. These estimates are possible when a precise balance between the elastic and viscoelastic nonlinearities holds |
| dc.format.extent | 19 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| dc.subject.lcsh | Viscoelasticity |
| dc.subject.lcsh | Viscosity |
| dc.subject.other | Anti-plane shear |
| dc.subject.other | Nonlinear visco-elasticity |
| dc.subject.other | Nonlinear viscosity |
| dc.subject.other | Spatial estimates |
| dc.title | Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space. |
| dc.type | Article |
| dc.subject.lemac | Viscoelasticitat |
| dc.subject.lemac | Viscositat |
| dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
| dc.identifier.doi | 10.1142/S0219530520500153 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.subject.ams | Classificació AMS::22 Topological groups, lie groups::22E Lie groups |
| dc.subject.ams | Classificació AMS::53 Differential geometry::53C Global differential geometry |
| dc.subject.ams | Classificació AMS::57 Manifolds and cell complexes::57S Topological transformation groups |
| dc.relation.publisherversion | https://www.worldscientific.com/doi/abs/10.1142/S0219530520500153 |
| dc.rights.access | Open Access |
| local.identifier.drac | 29114551 |
| dc.description.version | Postprint (author's final draft) |
| dc.relation.projectid | info: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/ |
| dc.relation.projectid | info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P |
| local.citation.author | Quintanilla, R.; Saccomandi, G. |
| local.citation.publicationName | Analysis and applications |
| local.citation.volume | 18 |
| local.citation.number | 6 |
| local.citation.startingPage | 1119 |
| local.citation.endingPage | 1137 |
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