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Ill-posed problems in thermomechanics
dc.contributor.author | Dreher, Michael |
dc.contributor.author | Quintanilla de Latorre, Ramón |
dc.contributor.author | Racke, Reinhard |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-03-18T14:34:00Z |
dc.date.available | 2010-03-18T14:34:00Z |
dc.date.created | 2009-09 |
dc.date.issued | 2009-09 |
dc.identifier.citation | Dreher, M.; Quintanilla, R.; Racke, R. Ill-posed problems in thermomechanics. "Applied mathematics letters", Setembre 2009, vol. 22, núm. 9, p. 1374-1379. |
dc.identifier.issn | 0893-9659 |
dc.identifier.uri | http://hdl.handle.net/2117/6701 |
dc.description.abstract | Several thermomechanical models have been proposed from a heuristic point of view. A mathematical analysis should help to clarify the applicability of these models, among those recent thermal or viscoelastic models. Single-phase-lag and dual-phase-lag heat conduction models can be interpreted as formal expansions of delay equations. The delay equations are shown to be ill-posed, as are the formal expansions of higher order in contrast to lower-order expansions leading to Fourier's or Cattaneo's law. The ill-posedness is proved, showing the lack of continuous dependence on the data, and thus showing that these models (delay or higher-order expansion ones) are highly explosive. In this note we shall present conditions for when this happens. |
dc.format.extent | 6 p. |
dc.language.iso | eng |
dc.publisher | Elsevier |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Heat--Conduction |
dc.subject.lcsh | Stability |
dc.subject.lcsh | Applied mathematics |
dc.title | Ill-posed problems in thermomechanics |
dc.type | Article |
dc.subject.lemac | Estabilitat |
dc.subject.lemac | Matemàtica aplicada |
dc.subject.lemac | Calor -- Conducció |
dc.contributor.group | Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
dc.identifier.doi | 10.1016/j.aml.2009.03.010 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 2162227 |
dc.description.version | Postprint (published version) |
local.citation.author | Dreher, M.; Quintanilla, R.; Racke, R. |
local.citation.publicationName | Applied mathematics letters |
local.citation.volume | 22 |
local.citation.number | 9 |
local.citation.startingPage | 1374 |
local.citation.endingPage | 1379 |
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