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math-ph2012★ 6 cited
New conserved vorticity integrals for moving surfaces in multi-dimensional fluid flow
Stephen C. Anco
For inviscid fluid flow in any n-dimensional Riemannian manifold, new conserved vorticity integrals generalizing helicity, enstrophy, and entropy circulation are derived for lower-…
nlin.SI2012★ 7 cited
Symplectically-invariant soliton equations from non-stretching geometric curve flows
Stephen C. Anco, Esmaeel Asadi
A moving frame formulation of geometric non-stretching flows of curves in the Riemannian symmetric spaces and is used to derive two bi-Ha…