Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection–diffusion by stochastic Navier–Stokes

We study the mixing and dissipation properties of the advection–diffusion equation with diffusivity 0 < κ ≪ 1 and advection by a class of random velocity fields on T d , d = { 2 , 3 } , including solutions of the 2D Navier–Stokes equations forced by sufficiently regular-in-space, non-degenerate w...

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