| dc.contributor.author | Backi, Christoph Josef | |
| dc.contributor.author | Bendtsen, Jan Dimon | |
| dc.contributor.author | Leth, John | |
| dc.contributor.author | Gravdahl, Jan Tommy | |
| dc.date.accessioned | 2015-01-19T12:17:22Z | |
| dc.date.accessioned | 2016-07-05T13:01:56Z | |
| dc.date.available | 2015-01-19T12:17:22Z | |
| dc.date.available | 2016-07-05T13:01:56Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Elsevier IFAC Publications / IFAC Proceedings series 2014:7019-7024 | nb_NO |
| dc.identifier.issn | 1474-6670 | |
| dc.identifier.uri | http://hdl.handle.net/11250/2395670 | |
| dc.description.abstract | In this work the stability properties of a nonlinear partial differential equation (PDE) with state dependent parameters is investigated. Among other things, the PDE describes freezing of foodstuff, and is closely related to the (Potential) Burgers’ Equation. We show that for certain forms of coefficient functions, the PDE converges to a stationary solution given by (fixed) boundary conditions that make physical sense. We illustrate the results with numerical simulations. | nb_NO |
| dc.language.iso | eng | nb_NO |
| dc.publisher | Elsevier | nb_NO |
| dc.title | The nonlinear heat equation with state-dependent parameters and its connection to the Burgers’ and the potential Burgers’ equation | nb_NO |
| dc.type | Journal article | nb_NO |
| dc.type | Peer reviewed | nb_NO |
| dc.date.updated | 2015-01-19T12:17:22Z | |
| dc.description.version | acceptedVersion | |
| dc.source.volume | 19 | nb_NO |
| dc.source.journal | IFAC papers online | nb_NO |
| dc.identifier.doi | 10.3182/20140824-6-ZA-1003.01278 | |
| dc.identifier.cristin | 1180309 | |
| dc.description.localcode | This is the authors' accepted and refereed manuscript to the article. Copyright © 2014 IFAC. Published by Elsevier Ltd. All rights reserved. | nb_NO |
