Growth rates for fast kinematic dynamo instabilities of chaotic fluid flows

DOI10.1017/S0022112093003076zbMath0789.76038OpenAlexW2102500356MaRDI QIDQ4281847

Edward Ott, Yunson Du

Publication date: 10 March 1994

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112093003076

zbMATH Keywords

Lyapunov numbersLagrangian stretchingtemporally periodic flow

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (7)

The role of helicity and stretching in forced kinematic dynamos in a spherical shell ⋮ Flow helicity in a simplified statistical model of a fast dynamo ⋮ Geometric and statistical properties in the evolution of material surfaces in three-dimensional chaotic flows ⋮ Interaction between dynamos at different scales ⋮ Characterization of sign singular measures ⋮ A nonlinear dynamo driven by rapidly rotating convection ⋮ Invariant properties of a class of exactly solvable mixing transformations --- a measure-theoretical approach to model the evolution of material lines advected by chaotic flows

Cites Work

• Passive scalars, three-dimensional volume-preserving maps, and chaos
• Chaotic flows and fast magnetic dynamos

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