| 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 $1/t$ as $t\to \infty$. |
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