Some rigorous results for the kinematic dynamo problem with general boundary conditions

DOI10.1063/1.531817zbMath0871.76099OpenAlexW2153761767MaRDI QIDQ4339573

Manuel A. Nunez

Publication date: 1 October 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531817

zbMATH Keywords

vector potentialenergy inequalitiessingular limit of zero magnetic diffusivity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

Plasma velocity in hydromagnetic dynamos ⋮ Stochastic line motion and stochastic flux conservation for nonideal hydromagnetic models ⋮ Dissipation of Kinetic Energy in a Magnetic Dynamo

Cites Work

• A class of self-sustaining dissipative spherical dynamos
• Fractal dimensions of fast dynamo magnetic fields
• Rigorous bounds on the fast dynamo growth rate involving topological entropy
• Topological constraints associated with fast dynamo action

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