A continuous interpolation between conservative and dissipative solutions
| dc.contributor.author | Grunert, Katrin | |
| dc.contributor.author | Holden, Helge | |
| dc.contributor.author | Raynaud, Xavier | |
| dc.date.accessioned | 2020-04-29T18:08:16Z | |
| dc.date.available | 2020-04-29T18:08:16Z | |
| dc.date.created | 2016-01-18T13:30:46Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Forum of Mathematics, Sigma. 2015, . | en_US |
| dc.identifier.issn | 2050-5094 | |
| dc.identifier.uri | https://hdl.handle.net/11250/2652981 | |
| dc.description.abstract | We introduce a novel solution concept, denoted -dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system on the line with vanishing asymptotics. All the -dissipative solutions are global weak solutions of the same equation in Eulerian coordinates, yet they exhibit rather distinct behavior at wave breaking. The solutions are constructed after a transformation into Lagrangian variables, where the solution is carefully modified at wave breaking. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.rights | Navngivelse 4.0 Internasjonal | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
| dc.title | A continuous interpolation between conservative and dissipative solutions | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | publishedVersion | en_US |
| dc.source.pagenumber | 73 | en_US |
| dc.source.journal | Forum of Mathematics, Sigma | en_US |
| dc.identifier.doi | 10.1017/fms.2014.29 | |
| dc.identifier.cristin | 1315926 | |
| dc.description.localcode | © The Author(s) 2015 This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. | en_US |
| cristin.ispublished | true | |
| cristin.fulltext | original | |
| cristin.qualitycode | 1 |
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