dc.date.accessioned | 2018-09-18T12:23:20Z | |
dc.date.available | 2018-10-10T22:31:04Z | |
dc.date.created | 2017-01-06T11:19:41Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Coclite, Giuseppe Maria Ridder, Johanna Risebro, Nils Henrik . A Convergent Finite Difference Scheme for the Variational Heat Equation. Zeitschrift für Angewandte Mathematik und Physik. 2017, 68(6) | |
dc.identifier.uri | http://hdl.handle.net/10852/64798 | |
dc.description.abstract | The variational heat equation is a nonlinear, parabolic equation not in divergence form that arises as a model for the dynamics of the director field in a nematic liquid crystal. We present a finite difference scheme for a transformed, possibly degenerate version of this equation and prove that a subsequence of the numerical solutions converges to a weak solution. This result is supplemented by numerical examples that show that weak solutions are not unique and give some intuition about how to obtain a viscosity type solution. | en_US |
dc.language | EN | |
dc.title | A Convergent Finite Difference Scheme for the Variational Heat Equation | en_US |
dc.type | Journal article | en_US |
dc.creator.author | Coclite, Giuseppe Maria | |
dc.creator.author | Ridder, Johanna | |
dc.creator.author | Risebro, Nils Henrik | |
cristin.unitcode | 185,15,13,0 | |
cristin.unitname | Matematisk institutt | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1422215 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Zeitschrift für Angewandte Mathematik und Physik&rft.volume=68&rft.spage=&rft.date=2017 | |
dc.identifier.jtitle | Zeitschrift für Angewandte Mathematik und Physik | |
dc.identifier.volume | 68 | |
dc.identifier.issue | 6 | |
dc.identifier.doi | http://dx.doi.org/10.1007/s00033-017-0871-z | |
dc.identifier.urn | URN:NBN:no-67330 | |
dc.type.document | Tidsskriftartikkel | en_US |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0044-2275 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/64798/2/newvarheat.pdf | |
dc.type.version | AcceptedVersion | |
dc.relation.project | NFR/214495 | |