Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion

In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation (α-SQG) that lose regularity instantly when there is super-critical fractional diffusion. © The Author(s) 2024.

Detalhes bibliográficos
Autores: Córdoba, D., Martínez-Zoroa, L.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/381368
Acesso em linha:http://hdl.handle.net/10261/381368
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85204884886&doi=10.1007%2fs40818-024-00186-9&partnerID=40&md5=2af43d4f87faa0e11bb527d5d1ba1353
Access Level:acceso abierto
Palavra-chave:Blow-up
Incompressible fluids
Surface quasi-geostrophic equations
Viscosity
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spelling Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional DiffusionCórdoba, D.Martínez-Zoroa, L.Blow-upIncompressible fluidsSurface quasi-geostrophic equationsViscosityIn this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation (α-SQG) that lose regularity instantly when there is super-critical fractional diffusion. © The Author(s) 2024.This work is supported in part by the Spanish Ministry of Science and Innovation, through the “Severo Ochoa Programme for Centres of Excellence in R&D (CEX2019-000904-S)” and 114703GB-100. DC and LMZ were partially supported by the ERC Advanced Grant 788250. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.Peer reviewedSpringer NatureMinisterio de Ciencia e Innovación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/381368https://www.scopus.com/inward/record.uri?eid=2-s2.0-85204884886&doi=10.1007%2fs40818-024-00186-9&partnerID=40&md5=2af43d4f87faa0e11bb527d5d1ba1353reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésAnnals of PDEhttps://doi.org/10.1007/s40818-024-00186-9Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3813682026-05-22T06:33:51Z
dc.title.none.fl_str_mv Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
title Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
spellingShingle Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
Córdoba, D.
Blow-up
Incompressible fluids
Surface quasi-geostrophic equations
Viscosity
title_short Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
title_full Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
title_fullStr Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
title_full_unstemmed Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
title_sort Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion
dc.creator.none.fl_str_mv Córdoba, D.
Martínez-Zoroa, L.
author Córdoba, D.
author_facet Córdoba, D.
Martínez-Zoroa, L.
author_role author
author2 Martínez-Zoroa, L.
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Blow-up
Incompressible fluids
Surface quasi-geostrophic equations
Viscosity
topic Blow-up
Incompressible fluids
Surface quasi-geostrophic equations
Viscosity
description In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation (α-SQG) that lose regularity instantly when there is super-critical fractional diffusion. © The Author(s) 2024.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/381368
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85204884886&doi=10.1007%2fs40818-024-00186-9&partnerID=40&md5=2af43d4f87faa0e11bb527d5d1ba1353
url http://hdl.handle.net/10261/381368
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85204884886&doi=10.1007%2fs40818-024-00186-9&partnerID=40&md5=2af43d4f87faa0e11bb527d5d1ba1353
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Annals of PDE
https://doi.org/10.1007/s40818-024-00186-9
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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