Global regularity and fast small-scale formation for Euler patch equation in a smooth domain

DOI10.1080/03605302.2018.1546318zbMath1416.35195arXiv1806.07744OpenAlexW2809668959WikidataQ128550380 ScholiaQ128550380MaRDI QIDQ5742393

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Publication date: 14 May 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07744

zbMATH Keywords

global regularity2D incompressible Euler equationcurvature growthvortex patches with boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Vortex flows for incompressible inviscid fluids (76B47) Euler equations (35Q31)

Related Items (7)

Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc ⋮ On evolution of corner-like gSQG patches ⋮ On nonexistence of splash singularities for the \(\alpha\)-SQG patches ⋮ On singular vortex patches, II: Long-time dynamics ⋮ Growth of perimeter for vortex patches in a bulk ⋮ Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole ⋮ On Singular Vortex Patches, I: Well-posedness Issues

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