dc.contributor.author
Verdera, J.
dc.date.accessioned
2023-06-21T13:24:49Z
dc.date.accessioned
2024-09-19T14:25:25Z
dc.date.available
2023-06-21T13:24:49Z
dc.date.available
2024-09-19T14:25:25Z
dc.date.issued
2023-03-01
dc.identifier.uri
http://hdl.handle.net/2072/535457
dc.description.abstract
We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vorticity with an odd kernel, homogeneous of degree −1 and of class C2 off the origin. © 2023 The Author
eng
dc.description.sponsorship
Generalitat de Catalunya: PID2020-112881GB-100; Ministerio de Universidades, MIU. The author is grateful to J.B.Garnett for many inspiring conversations on the subject. The author acknowledges support by 2021-SGR-00071 ( Generalitat de Catalunya ) and PID2020-112881GB-100 ( Ministerio de Universidades ). This work also acknowledges the CERCA Programme of the Generalitat de Catalunya for institutional support. This work was also supported by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D (CEX2020-001084-M).
dc.publisher
Academic Press Inc.
dc.relation.ispartof
Advances in Mathematics
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Calderón-Zygmund singular integral; Transport equation; Vortex patch
dc.title
The global regularity of vortex patches revisited
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
10.1016/j.aim.2023.108917
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
