A piecewise-affine, time-periodic shear flow on the 3-torus is a universal ideal dynamo: every non-zero divergence-free L^p initial field grows exponentially for large shear amplitude.
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Exponential growth and decay in the ideal induction equation
A piecewise-affine, time-periodic shear flow on the 3-torus is a universal ideal dynamo: every non-zero divergence-free L^p initial field grows exponentially for large shear amplitude.