Vortex sheets and diffeomorphism groupoids

DOI10.1016/j.aim.2018.09.015zbMath1442.76001arXiv1705.01603OpenAlexW2963974528MaRDI QIDQ1789494

Anton Izosimov, Boris A. Khesin

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1705.01603

zbMATH Keywords

Euler equationsHamiltonian systemsLie algebroiddiffeomorphism groupsvortex sheetsideal hydrodynamics

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Applications of differential geometry to physics (53Z05) Incompressible inviscid fluids (76B99) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Euler equations (35Q31)

Related Items

Geometry of generalized fluid flows ⋮ Coadjoint orbits of vortex sheets in ideal fluids ⋮ Pointed vortex loops in ideal 2D fluids ⋮ Geometric hydrodynamics in open problems ⋮ Remarks on stationary and uniformly-rotating vortex sheets: rigidity results

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