Dissipation Enhancement by Mixing (1806.03699v4)

Published 10 Jun 2018 in math.AP

Abstract: We quantitatively study the interaction between diffusion and mixing in both the continuous, and discrete time setting. In discrete time, we consider a mixing dynamical system interposed with diffusion. In continuous time, we consider the advection diffusion equation where the advecting vector field is assumed to be sufficiently mixing. The main results of this paper estimate the dissipation time and energy decay based on an assumption quantifying the mixing rate.

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