dc.contributor.author | Marstrander, Johanna Ulvedal | |
dc.date.accessioned | 2024-06-24T12:01:44Z | |
dc.date.available | 2024-06-24T12:01:44Z | |
dc.date.created | 2024-05-14T09:08:26Z | |
dc.date.issued | 2024 | |
dc.identifier.citation | Journal of Computational Dynamics. 2024, 11 (3), 274-288. | en_US |
dc.identifier.issn | 2158-2505 | |
dc.identifier.uri | https://hdl.handle.net/11250/3135595 | |
dc.description.abstract | In this overview paper, we show existence of smooth solitary-wave solutions to the nonlinear, dispersive evolution equations of the form ∂tu +∂x(Λsu+uΛru2) = 0, where Λs,Λr are Bessel-type Fourier multipliers. The linear operator may be of low fractional order, s > 0, while the operator on the nonlinear part is assumed to act slightly smoother, r < s − 1. The problem is related to the mathematical theory of water waves; we build upon previous works on similar equations, extending them to allow for a nonlocal nonlinearity. Mathematical tools include constrained minimization, Lion’s concentration–compactness principle, spectral estimates, and product estimates in fractional Sobolev spaces. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | American Institute of Mathematical Sciences | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | REMARKS ON SOLITARY WAVES IN EQUATIONS WITH NONLOCAL CUBIC TERMS | en_US |
dc.title.alternative | REMARKS ON SOLITARY WAVES IN EQUATIONS WITH NONLOCAL CUBIC TERMS | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 274-288 | en_US |
dc.source.volume | 11 | en_US |
dc.source.journal | Journal of Computational Dynamics | en_US |
dc.source.issue | 3 | en_US |
dc.identifier.doi | 10.3934/jcd.2024012 | |
dc.identifier.cristin | 2268307 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |