The global regularity of vortex patches revisited

Joan Verdera

doi:10.1016/j.aim.2023.108917

The global regularity of vortex patches revisited

Joan Verdera

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

2 Cites (Scopus)

1 Descàrregues (Pure)

Resum

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.

Idioma original	Anglès
Número d’article	108917
Nombre de pàgines	15
Revista	Advances in Mathematics
Volum	416
DOIs	https://doi.org/10.1016/j.aim.2023.108917
Estat de la publicació	Publicada - 1 de març 2023

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10.1016/j.aim.2023.108917

https://ddd.uab.cat/record/283186

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ANALISIS Y ECUACIONES EN DERIVADAS PARCIALES
Mateu Bennassar, J. E. (PI), Verdera Melenchon, J. M. (Investigador/a Principal 2), Cantero Guardeño, J. C. (Col.laborador/a), Sengupta , B. (Col.laborador/a), Clop Ponte, A. (Investigador/a), Orobitg Huguet, J. (Investigador/a) & Magaña Centelles, M. (Col.laborador/a)
1/09/21 → 31/08/26
Projecte: Projectes i Ajuts a la Recerca

Com citar-ho

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title = "The global regularity of vortex patches revisited",

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.",

keywords = "Calderon-Zygmund singular integral, Transport equation, Vortex patch",

author = "Joan Verdera",

note = "Funding Information: 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 ). Publisher Copyright: {\textcopyright} 2023 The Author",

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doi = "10.1016/j.aim.2023.108917",

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AU - Verdera, Joan

N1 - Funding Information: 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 ). Publisher Copyright: © 2023 The Author

PY - 2023/3/1

Y1 - 2023/3/1

N2 - 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.

AB - 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.

KW - Calderon-Zygmund singular integral

KW - Transport equation

KW - Vortex patch

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UR - https://www.mendeley.com/catalogue/3a40ae39-3c9c-3a80-a4bd-f5656f25d60d/

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VL - 416

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 108917

ER -

The global regularity of vortex patches revisited

Resum

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