The global regularity of vortex patches revisited

DOI10.1016/j.aim.2023.108917OpenAlexW4321196270MaRDI QIDQ2687345

Joan Verdera

Publication date: 2 March 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00561

zbMATH Keywords

transport equationCalderón-Zygmund singular integralvortex patch

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Transport equations (35Q49)

Related Items (1)

Illposedness of \(C^2\) vortex patches

Cites Work

• Estimates for the maximal singular integral in terms of the singular integral: the case of even kernels
• Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
• Global regularity for vortex patches
• Vorticity and Incompressible Flow
• The Regularity of the Boundary of a Multidimensional Aggregation Patch
• Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
• Non-stationary flow of an ideal incompressible liquid
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