The spectrum of the kinematic dynamo operator for an ideally conducting fluid

DOI10.1007/BF02101239zbMath0833.76091OpenAlexW1969795582MaRDI QIDQ1901816

Stephen J. Montgomery-Smith, Yuri Latushkin, Carmen C. Chicone

Publication date: 9 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf02101239

zbMATH Keywords

generatorspectral boundgroupcompact Riemannian manifoldergodic measuresdivergence free vector fieldsLyapunov-Oseledets exponents

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Cites Work

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• Some remarks on the antidynamo theorem
• Semigroups of linear operators and applications to partial differential equations
• Analyticity of spectral subbundles
• Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators
• Evolutionary semigroups and Lyapunov theorems in Banach spaces
• Dynamo theory methods for hydrodynamic stability
• Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers
• Hyperbolic linear skew-product semiflows
• Weighted translation operators and linear extensions of dynamical systems
• Quasi-Anosov Diffeomorphisms and Hyperbolic Manifolds
• Lyapunov theorems for Banach spaces
• Magnetic field generation by the motion of a highly conducting fluid
• Invariant manifolds

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