Optimal enhanced dissipation for contact Anosov flows

Zhongkai Tao, Maciej Zworski

We show that for a contact Anosov flow on a compact manifold $M$, the solutions to ${\partial }_{t}u+Xu=\nu \Delta u$, $\nu >0$, where $X$ is the generator of the flow and $\Delta$, a (n…