| dc.contributor.author | Alonso-Orán, Diego | |
| dc.contributor.author | Durán, Angel | |
| dc.contributor.author | Granero Belinchón, Rafael | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2024-05-02T15:23:52Z | |
| dc.date.available | 2024-05-02T15:23:52Z | |
| dc.date.issued | 2024 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.issn | 1873-5215 | |
| dc.identifier.other | PID2019-109348GA-I00 | es_ES |
| dc.identifier.other | PID2022-141187NB-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/32722 | |
| dc.description.abstract | In this paper we derive three new asymptotic models for a hyperbolic-hyperbolic-elliptic system of PDEs describing the motion of a collision-free plasma in a magnetic field. The first of these models takes the form of a non-linear and non-local Boussinesq system (for the ionic density and velocity) while the second is a non-local wave equation (for the ionic density). Moreover, we derive a unidirectional asymptotic model of the latter which is closely related to the well-known Fornberg-Whitham equation. We also provide the well-posedness of these asymptotic models in Sobolev spaces. To conclude, we demonstrate the existence of a class of initial data which exhibit wave breaking for the unidirectional model. | es_ES |
| dc.description.sponsorship | D.A-O is supported by the Spanish MINECO through Juan de la Cierva fellowship FJC2020-046032-I. A.D is supported by the Spanish Agencia Estatal de Investigación under Research Grant PID2020-113554GB-I00/AEI/10.13039/501100011033 and by the Junta de Castilla y León and FEDER funds (EU) under Research Grant VA193P20. R.G-B si funded 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 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. D.A-O and R.G-B are funded by the project "Análisis Matemático Aplicado y Ecuaciones Diferenciales" Grant PID2022-141187NB-I00 funded by MCIN /AEI /10.13039/501100011033/FEDER, UE and acronym "AMAED". This publication is part of the project PID2022-141187NB-I00 funded by MCIN/ AEI /10.13039/501100011033. | es_ES |
| dc.format.extent | 18 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.rights | © 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.source | Nonlinear Analysis: Theory, Methods and Applications, 2024, 244, 113539 | es_ES |
| dc.subject.other | Cold plasma asymptotic model | es_ES |
| dc.subject.other | Nonlocal wave equation | es_ES |
| dc.subject.other | Well-posedness | es_ES |
| dc.subject.other | Wave-breaking | es_ES |
| dc.title | Derivation and well-posedness for asymptotic models of cold plasmas | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1016/j.na.2024.113539 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1016/j.na.2024.113539 | |
| dc.type.version | publishedVersion | es_ES |
Excepto si se señala otra cosa, la licencia del ítem se describe como © 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
