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Anke Pietsch

Victor Navarro-Fernández (Imperial College London): Mixing and fast dynamo with randomized ABC flows

Tuesday, 08.10.2024 16:00 im Raum SRZ 216/217

Mathematik und Informatik

In this work we consider the Lagrangian properties of a random version of the Arnold-Beltrami-Childress (ABC) vector fields in a three-dimensional periodic box. We prove that the associated flow map possesses a positive top Lyapunov exponent, and its associated one-point, two-point and projective Markov chains are geometrically ergodic. For a passive scalar, it follows that such a velocity is a space-time smooth exponentially mixing field, uniformly in the diffusivity coefficient. For a passive vector, it provides an example of a universal ideal (i.e. non-diffusive) kinematic dynamo. This is a joint work with M. Coti Zelati (Imperial College London)



Angelegt am 24.09.2024 von Anke Pietsch
Geändert am 24.09.2024 von Anke Pietsch
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