A problem of Ulam about magnetic fields generated by knotted wires

DOI10.1017/etds.2017.117zbMath1418.37127arXiv1602.03142OpenAlexW3105673798MaRDI QIDQ4968751

Alberto Enciso, Daniel Peralta-Salas

Publication date: 9 July 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03142

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Electro- and magnetostatics (78A30) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (3)

Stationary phase methods and the splitting of separatrices ⋮ Beltrami fields and knotted vortex structures in incompressible fluid flows ⋮ Knotted surfaces as vanishing sets of polynomials

Cites Work

• Knots and links in steady solutions of the Euler equation
• Dynamical systems on surfaces. Transl. from the French by H. G. Helfenstein
• Existence of knotted vortex tubes in steady Euler flows
• Reconfigurable Knots and Links in Chiral Nematic Colloids
• Invariant manifolds
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