Classification of casimirs in 2D hydrodynamics

Anton Izosimov, Boris Khesin

Research output: Contribution to journalArticlepeer-review


We describe a complete list of Casimirs for 2D Euler hydrodynamics on a surface without boundary: we define generalized enstrophies which, along with circulations, form a complete set of invariants for coadjoint orbits of area-preserving diffeomorphisms on a surface. We also outline a possible extension of main notions to the boundary case and formulate several open questions in that setting.

Original languageEnglish (US)
JournalUnknown Journal
StatePublished - Feb 6 2017
Externally publishedYes

ASJC Scopus subject areas

  • General

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