| dc.date.accessioned | 2013-03-12T08:19:23Z | |
| dc.date.available | 2013-03-12T08:19:23Z | |
| dc.date.issued | 2005 | en_US |
| dc.date.submitted | 2009-11-24 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10852/10567 | |
| dc.description.abstract | We consider a shallow water equation of Camassa-Holm type, containing nonlinear dispersive effects as well as fourth order dissipative effects. We prove that as the diffusion and dispersion parameters tend to zero, with a condition on the relative balance between these two parameters, smooth solutions of the shallow water equation converge to discontinuous solutions of a scalar conservation law. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method in the Lp setting. | eng |
| dc.language.iso | eng | en_US |
| dc.publisher | Matematisk Institutt, Universitetet i Oslo | |
| dc.relation.ispartof | Preprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076 | en_US |
| dc.relation.uri | http://urn.nb.no/URN:NBN:no-8076 | |
| dc.rights | © The Author(s) (2005). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society. | |
| dc.title | A SINGULAR LIMIT PROBLEM FOR CONSERVATION LAWS RELATED TO THE CAMASSA-HOLM SHALLOW WATER EQUATION | en_US |
| dc.type | Research report | en_US |
| dc.date.updated | 2009-11-24 | en_US |
| dc.rights.holder | Copyright 2005 The Author(s) | |
| dc.creator.author | Coclite, Giuseppe M. | en_US |
| dc.creator.author | Karlsen, Kenneth H. | en_US |
| dc.subject.nsi | VDP::410 | en_US |
| dc.identifier.urn | URN:NBN:no-23601 | en_US |
| dc.type.document | Forskningsrapport | en_US |
| dc.identifier.duo | 97209 | en_US |
| dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/10567/1/pm13-05.pdf | |