Well-posedness of the kinematic dynamo problem

DOI10.1002/MMA.2516zbMath1250.35153OpenAlexW1991294229MaRDI QIDQ2910829

Ralf Kaiser

Publication date: 11 September 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2516

zbMATH Keywords

magnetohydrodynamicsdynamo theorypoloidal/toroidal representation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Optimal energy bounds in spherically symmetric $\alpha ^2$-dynamos ⋮ A higher-order-decay result for the dynamo equation with an application to the toroidal velocity theorem

Cites Work

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• A class of self-sustaining dissipative spherical dynamos
• ‘Well-posedness of some initial-boundary-value problems for dynamo-generated poloidal magnetic fields’
• Well-posedness of some initial—boundary-value problems for dynamo-generated poloidal magnetic fields
• The poloidal-toroidal representation of solenoidal fields in spherical domains

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