Isoperimetric properties of Lamb's circular vortex-pair

DOI10.1007/s00021-004-0126-6zbMath1064.76021OpenAlexW2029169519MaRDI QIDQ1773124

Geoffrey R. Burton

Publication date: 25 April 2005

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-004-0126-6

zbMATH Keywords

non-convex dualityHill's vortexenergy maximiser

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Variational methods applied to problems in fluid mechanics (76M30) Duality theory (optimization) (49N15)

Related Items (7)

Stability of Lamb dipoles ⋮ Nonlinear stability for steady vortex pairs ⋮ Existence of traveling asymmetric vortex pairs in an ideal fluid ⋮ Stability of Hill's spherical vortex ⋮ Compactness and stability for planar vortex-pairs with prescribed impulse ⋮ Traveling vortex pairs for 2D incompressible Euler equations ⋮ Global solutions for the generalized SQG equation and rearrangements

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