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• W2050432995 abstract "We draw connections between the field of contact topology (the study of totally non-integrable plane distributions) and the study of Beltrami fields in hydrodynamics on Riemannian manifolds in dimension three. We demonstrate an equivalence between Reeb fields (vector fields which preserve a transverse nowhere-integrable plane field) up to scaling and rotational Beltrami fields (non-zero fields parallel to their non-zero curl). This immediately yields existence proofs for smooth, steady, fixed-point free solutions to the Euler equations on all 3-manifolds and all subdomains of 3with torus boundaries." @default.
• W2050432995 created "2016-06-24" @default.
• W2050432995 creator A5025360378 @default.
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• W2050432995 date "2000-02-09" @default.
• W2050432995 modified "2023-10-16" @default.
• W2050432995 title "Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture" @default.
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• W2050432995 doi "https://doi.org/10.1088/0951-7715/13/2/306" @default.
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