An elementary approach to mixing and dissipation enhancement by transport noise
Abstract
We investigate the mixing properties of solutions to the stochastic transport equation d u= d W ·∇ u, where the driving noise W(t,x) is white in time, colored and divergence-free in space. Furthermore, we prove the dissipation enhancement in the presence of a small viscous term. Applying our results, we also derive the mixing properties for a regularized stochastic 2D Euler equation.
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