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A fast dynamo with zero topological entropy

Niebel, Lukas
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsspectral-theory
We construct an autonomous Lipschitz fast dynamo on the flat three-torus whose particle flow has zero topological entropy and whose ideal induction equation has no exponential growth. For every sufficiently small positive magnetic diffusivity, the induction operator has an eigenvalue with real part
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