On the proof of Taylor's conjecture in multiply connected domains

DOI10.1016/j.aml.2021.107654OpenAlexW3201483578WikidataQ112035588 ScholiaQ112035588MaRDI QIDQ2060916

Alberto Valli, Sauli Lindberg, David MacTaggart, Daniel Faraco

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.14936

zbMATH Keywords

turbulencemagnetohydrodynamicsmagnetic relaxationmagnetic helicity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Biographies, obituaries, personalia, bibliographies (01A70) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

A study of global magnetic helicity in self-consistent spherical dynamos ⋮ Rigorous results on conserved and dissipated quantities in ideal MHD turbulence ⋮ Magnetic helicity, weak solutions and relaxation of ideal MHD

Cites Work

• Finite element approximation of the spectrum of the curl operator in a multiply connected domain
• Proof of Taylor's conjecture on magnetic helicity conservation
• Dynamical constraints from field line topology in magnetic flux tubes
• Onsager and the theory of hydrodynamic turbulence
• A THEOREM ON FORCE-FREE MAGNETIC FIELDS
• 1. The curl–div system: theory and finite element approximation
• Magnetohydrodynamic Relaxation Theory

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