| dc.date.accessioned | 2013-03-12T08:16:28Z | |
| dc.date.available | 2013-03-12T08:16:28Z | |
| dc.date.issued | 2006 | en_US |
| dc.date.submitted | 2009-11-19 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10852/10548 | |
| dc.description.abstract | We study scalar conservation laws in one dimension with the flux function being discontinuous in the space variable. The existence and stability of infinitely many entropy solutions is shown. The existence is a consequence of convergence of a modified Engquist-Osher type scheme. A new concept of maximal entropy solutions is introduced inorder to select a physically relevant solution. The maximal entropy solutions maximize the total entropy dissipated across the discontinuous interfaces and are shown to be unique. | eng |
| dc.language.iso | eng | en_US |
| 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) (2006). 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 | MAXIMAL ENTROPY SOLUTIONS FOR SCALAR CONSERVATION LAWS WITH DISCONTINUOUS FLUX | en_US |
| dc.type | Research report | en_US |
| dc.date.updated | 2009-11-19 | en_US |
| dc.rights.holder | Copyright 2006 The Author(s) | |
| dc.creator.author | Mishra, Siddhartha | en_US |
| dc.subject.nsi | VDP::410 | en_US |
| dc.identifier.urn | URN:NBN:no-23550 | en_US |
| dc.type.document | Forskningsrapport | en_US |
| dc.identifier.duo | 97016 | en_US |
| dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/10548/1/pm19-06.pdf | |