Ergodic interpretation of integral hydrodynamic invariants

DOI10.1016/0393-0440(92)90027-XzbMath0742.57020OpenAlexW1973503379MaRDI QIDQ1184423

Boris A. Khesin

Publication date: 28 June 1992

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(92)90027-x

zbMATH Keywords

asymptotic linking number of vorticity fieldintegral Hopf invariant of a closed two-form on a three-dimensional manifoldmultilinking number of corresponding kernel foliationstime and space averages

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Differential forms in global analysis (58A10) Embeddings in differential topology (57R40) Foliations in differential topology; geometric theory (57R30)

Related Items

Link Invariants of Electromagnetic Fields ⋮ The third order helicity of magnetic fields via link maps ⋮ On asymptotic Hopf invariant for Hamiltonian systems

Cites Work

• Two remarks on the asymptotic Hopf invariant
• Invariants of the Euler equations for ideal or barotropic hydrodynamics and superconductivity in \(D\) dimensions
• The analytic generalized Hopf invariant. Many-valued functionals
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