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Singular integral system approach to regularity of 3D vortex patches

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Publication:2758110
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DOI10.1512/iumj.2001.50.1802zbMath0993.35077OpenAlexW1996113092MaRDI QIDQ2758110

Chaocheng Huang

Publication date: 19 September 2002

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2001.50.1802

zbMATH Keywords

regularityexistenceaxisymmetric flowsincompressible Euler systemsingular integral system


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)


Related Items

Filamentation near Hill’s vortex, Viscous profiles of vortex patches, Remarks about the inviscid limit of the Navier-Stokes system, Mechanisms of Lagrangian analyticity in fluids, Regularity of the velocity field for Euler vortex patch evolution, Conservation of Geometric Structures for Non-Homogeneous Inviscid Incompressible Fluids, Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient, On Singular Vortex Patches, I: Well-posedness Issues



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