dc.contributor.author | Granero Belinchón, Rafael | |
dc.contributor.author | Ortega, Alejandro | |
dc.contributor.other | Universidad de Cantabria | es_ES |
dc.date.accessioned | 2023-03-14T14:10:26Z | |
dc.date.available | 2023-03-14T14:10:26Z | |
dc.date.issued | 2022-03-19 | |
dc.identifier.issn | 1432-1467 | |
dc.identifier.issn | 0938-8974 | |
dc.identifier.other | PID2019-109348GA-I00 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10902/28165 | |
dc.description.abstract | We develop three asymptotic models of surface waves in a non-Newtonian fluid with odd viscosity. This viscosity is also known as Hall viscosity and appears in a number of applications such as quantum Hall fluids or chiral active fluids. Besides the odd viscosity effects, these models capture both gravity and capillary forces up to quadratic interactions and take the form of nonlinear and nonlocal wave equations. Two of these models describe bidirectional waves, while the third PDE studies the case of unidirectional propagation. We also prove the well-posedness of these asymptotic models in spaces of analytic functions and in Sobolev spaces. Finally, we present a number of numerical simulations for the unidirectional model | es_ES |
dc.description.sponsorship | R.G-B was supported by the project “Mathematical Analysis of Fluids and Applications” Grant PID2019-109348GA-I00 funded by MCIN/AEI/ 10.13039/501100011033 and acronym “MAFyA.” This publication is part of the project PID2019-109348GA-I00 funded by MCIN/ AEI /10.13039/501100011033. R.G-B is also supported by a 2021 Leonardo Grant for Researchers and Cultural Creators, BBVA Foundation. The BBVA Foundation accepts no responsibility for the opinions, statements, and contents included in the project and/or the results thereof, which are entirely the responsibility of the authors. | es_ES |
dc.format.extent | 33 p. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Nature | es_ES |
dc.rights | © The Author(s) 2022 | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.source | Journal of Nonlinear Science, 2022, 32, 28 | es_ES |
dc.subject.other | Waves | es_ES |
dc.subject.other | Odd viscosity | es_ES |
dc.subject.other | Hall viscosity | es_ES |
dc.subject.other | Moving interfaces | es_ES |
dc.subject.other | Free-boundary problems | es_ES |
dc.title | On the motion of gravity-capillary waves with odd viscosity | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherVersion | https://doi.org/10.1007/s00332-022-09786-w | es_ES |
dc.rights.accessRights | openAccess | es_ES |
dc.identifier.DOI | 10.1007/s00332-022-09786-w | |
dc.type.version | publishedVersion | es_ES |