SG ] 3 M ay 2 01 7 Vortex sheets and diffeomorphism groupoids

@inproceedings{Izosimov2017SG3,
  title={SG ] 3 M ay 2 01 7 Vortex sheets and diffeomorphism groupoids},
  author={Anton Izosimov and Boris A. Khesin},
  year={2017}
}
In 1966 V.Arnold suggested a group-theoretic approach to ideal hydrodynamics in which the motion of an inviscid incompressible fluid is described as the geodesic flow of the right-invariant L-metric on the group of volume-preserving diffeomorphisms of the flow domain. Here we propose geodesic, group-theoretic, and Hamiltonian frameworks to include fluid… CONTINUE READING