Beltrami fields with nonconstant proportionality factor

DOI10.1007/s00205-019-01481-7zbMath1444.53018arXiv1902.01890OpenAlexW2996674906WikidataQ126566604 ScholiaQ126566604MaRDI QIDQ2304896

Taylor Klotz, Jeanne Nielsen Clelland

Publication date: 9 March 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01890

zbMATH Keywords

Hodge star operatorCartan-Kähler theoremadapted frame fieldsBeltrami fields with rotational symmetryinvolutive tableau

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Exterior differential systems (Cartan theory) (58A15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01)

Related Items

Rigidity of Beltrami fields with a non-constant proportionality factor ⋮ Rectifiability of divergence-free fields along invariant 2-tori ⋮ Beltrami fields and knotted vortex structures in incompressible fluid flows ⋮ Compatible director fields in \(\mathbb{R}^3\) ⋮ An improved Liouville type theorem for Beltrami flows

Cites Work

• Beltrami fields with a nonconstant proportionality factor are rare
• Knots and links in steady solutions of the Euler equation
• Stability results, almost global generalized Beltrami fields and applications to vortex structures in the Euler equations
• Local representation and construction of Beltrami fields
• Existence of knotted vortex tubes in steady Euler flows
• Ordered behaviour in force-free magnetic fields
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