On Woltjer's force‐free minimizers and Moffatt's magnetic relaxation

DOI10.1112/blms.12575zbMath1522.35409arXiv2001.04616OpenAlexW4220775704MaRDI QIDQ6175405

Rafal Komendarczyk

Publication date: 18 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.04616

zbMATH Keywords

magnetic relaxation problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (1)

Rigorous results on conserved and dissipated quantities in ideal MHD turbulence

Cites Work

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• Oscillations and concentrations in weak solutions of the incompressible fluid equations
• Knots and links in steady solutions of the Euler equation
• Divergence-free fields: Energy and asymptotic crossing number
• Topological methods in hydrodynamics
• Elliptic partial differential equations of second order
• Differential forms on riemannian manifolds
• A THEOREM ON FORCE-FREE MAGNETIC FIELDS
• On the groundstate energy of tight knots
• A note on topology and magnetic energy in incompressible perfectly conducting fluids
• On Woltjer’s variational principle for force-free fields
• Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals
• Extremal energy properties and construction of stable solutions of the Euler equations
• On the Volume Elements on a Manifold
• On the existence of non-linear force-free fields in three-dimensional domains

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