Well-posedness of some initial—boundary-value problems for dynamo-generated poloidal magnetic fields

DOI10.1017/S0308210508000826zbMath1183.35229MaRDI QIDQ3655749

Ralf Kaiser, Hannes Uecker

Publication date: 12 January 2010

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

zbMATH Keywords

eigenvalue problemmagnetohydrodynamicsPoisson problemGalerkin approximationevolution problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) General topics in linear spectral theory for PDEs (35P05) Magnetohydrodynamics and electrohydrodynamics (76W05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

Well-posedness of the kinematic dynamo problem ⋮ Approximately Axisymmetric Antidynamo Theorems ⋮ 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

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