On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics

The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films.

Bibliographic Details
Authors: Fratta, G.D.I., Slastikov, V., Zarnescu, A.
Format: article
Status:Published version
Publication Date:2019
Country:España
Institution:Basque Center for Applied Mathematics (BCAM)
Repository:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1126
Online Access:http://hdl.handle.net/20.500.11824/1126
Access Level:Embargoed access
Keyword:Poincaré inequality, vector spherical harmonics, magnetic skyrmions
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spelling On a sharp Poincare-type inequality on the 2-sphere and its application in micromagneticsFratta, G.D.I.Slastikov, V.Zarnescu, A.Poincaré inequality, vector spherical harmonics, magnetic skyrmionsThe main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films.202020202019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1126reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://epubs.siam.org/doi/abs/10.1137/19M1238757?mobileUi=0info:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/MINECO//MTM2017-82184-Rinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/embargoedAccessoai:bird.bcamath.org:20.500.11824/11262026-06-19T12:47:47Z
dc.title.none.fl_str_mv On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
title On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
spellingShingle On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
Fratta, G.D.I.
Poincaré inequality, vector spherical harmonics, magnetic skyrmions
title_short On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
title_full On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
title_fullStr On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
title_full_unstemmed On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
title_sort On a sharp Poincare-type inequality on the 2-sphere and its application in micromagnetics
dc.creator.none.fl_str_mv Fratta, G.D.I.
Slastikov, V.
Zarnescu, A.
author Fratta, G.D.I.
author_facet Fratta, G.D.I.
Slastikov, V.
Zarnescu, A.
author_role author
author2 Slastikov, V.
Zarnescu, A.
author2_role author
author
dc.subject.none.fl_str_mv Poincaré inequality, vector spherical harmonics, magnetic skyrmions
topic Poincaré inequality, vector spherical harmonics, magnetic skyrmions
description The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on $\mathbb{S}^2$ that naturally emerges in the context of micromagnetics of spherical thin films.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1126
url http://hdl.handle.net/20.500.11824/1126
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://epubs.siam.org/doi/abs/10.1137/19M1238757?mobileUi=0
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/MINECO//MTM2017-82184-R
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/embargoedAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
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