Dissipation Enhancement by Mixing

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.

References in corpus (1)

• Multiscale Mixing Efficiencies for Steady Sources

Cited by in corpus (14)

• Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes
• Phase separation in the advective Cahn-Hilliard equation
• Quantitative convergence rates for scaling limit of SPDEs with transport noise
• Advection diffusion equations with Sobolev velocity field
• Suppression of epitaxial thin film growth by mixing
• On mix-norms and the rate of decay of correlations
• Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow
• Enhanced dissipation for stochastic Navier-Stokes equations with transport noise
• Regularization by transport noise for 3D MHD equations
• Stirring Speeds Up Chemical Reaction
• Quantifying the dissipation enhancement of cellular flows
• Inviscid damping and enhanced dissipation of the boundary layer for 2D Navier-Stokes linearized around Couette flow in a channel
• Dissipation enhancement by transport noise for stochastic $p$-Laplace equations
• Divergence-free drifts decrease concentration