The helicity uniqueness conjecture in 3d hydrodynamics
DOI10.1090/tran/8483zbMath1497.37095arXiv2003.06008OpenAlexW3171660490WikidataQ113822459 ScholiaQ113822459MaRDI QIDQ5023570
Cheng Yang, Boris A. Khesin, Daniel Peralta-Salas
Publication date: 24 January 2022
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06008
Euler equationsCasimir functionPoincaré-Birkhoff theoremcoadjoint actionvolume-preserving diffeomorphism group
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics (37K65) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Euler equations (35Q31)
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