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Stability properties of a heat equation with state-dependent parameters and asymmetric boundary conditions

dc.contributor.authorBacki, Christoph Josef
dc.contributor.authorBendtsen, Jan Dimon
dc.contributor.authorLeth, John
dc.contributor.authorGravdahl, Jan Tommy
dc.date.accessioned2016-01-13T12:15:11Z
dc.date.accessioned2016-06-23T10:29:13Z
dc.date.available2016-01-13T12:15:11Z
dc.date.available2016-06-23T10:29:13Z
dc.date.issued2015
dc.identifier.citationElsevier IFAC Publications / IFAC Proceedings series 2015, 48(11):587-592nb_NO
dc.identifier.issn1474-6670
dc.identifier.urihttp://hdl.handle.net/11250/2393838
dc.description.abstractIn this work the stability properties of a partial differential equation (PDE) with statedependent parameters and asymmetric boundary conditions are investigated. The PDE describes the temperature distribution inside foodstuff, but can also hold for other applications and phenomena. We show that the PDE converges to a stationary solution given by (fixed) boundary conditions which explicitly diverge from each other. Numerical simulations illustrate the results.nb_NO
dc.language.isoengnb_NO
dc.publisherElseviernb_NO
dc.titleStability properties of a heat equation with state-dependent parameters and asymmetric boundary conditionsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.date.updated2016-01-13T12:15:11Z
dc.description.versionacceptedVersion
dc.source.pagenumber587-592nb_NO
dc.source.volume48nb_NO
dc.source.journalIFAC-PapersOnLinenb_NO
dc.source.issue11nb_NO
dc.identifier.doi10.1016/j.ifacol.2015.09.250
dc.identifier.cristin1253946
dc.description.localcode© 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. This is the authors’ accepted and refereed manuscript to the articlenb_NO


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