Rigorous proof of fast dynamo action on the three-torus for a time-periodic Lipschitz divergence-free velocity field, using stretch-fold-shear hyperbolic flow and anisotropic Banach spaces to obtain a spectral gap that persists under vanishing resistivity.
Childress,Note on perfect fast dynamo action in a large-amplitude SFS map, Publ
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A fast dynamo on the three-torus
Rigorous proof of fast dynamo action on the three-torus for a time-periodic Lipschitz divergence-free velocity field, using stretch-fold-shear hyperbolic flow and anisotropic Banach spaces to obtain a spectral gap that persists under vanishing resistivity.