A higher-order-decay result for the dynamo equation with an application to the toroidal velocity theorem

DOI10.1017/S0308210513000449zbMath1326.35277MaRDI QIDQ5500279

Ralf Kaiser

Publication date: 5 August 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

conducting fluiddynamo equationmagnetic diffusivity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

On the robustness of the toroidal velocity theorem

Cites Work

• A class of self-sustaining dissipative spherical dynamos
• A toroidal magnetic field theorem
• Well-posedness of the kinematic dynamo problem
• Well-posedness of some initial—boundary-value problems for dynamo-generated poloidal magnetic fields
• Antidynamo theorems for non-radial flows
• Asymptotic behavior of solutions of certain parabolic problems with space and time dependent coefficients
• The Axisymmetric Antidynamo Theorem Revisited
• Induction Effects in Terrestrial Magnetism Part I. Theory

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