Accepted Paper

Inserted: 8 oct 2019
Last Updated: 24 may 2021

Journal: Comm. in Partial Diff. Equations
Year: 2019

Abstract:

We consider the regular Lagrangian flow X associated to a bounded divergence-free vector field b with bounded variation. We prove a Lusin-Lipschitz regularity result for X and we show that the Lipschitz constant grows at most linearly in time. As a consequence we deduce that both geometric and analytical mixing have a lower bound of order $t^{-1}$ as $t \to \infty$.

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