Quantitative mixing and dissipation enhancement property of Ornstein-Uhlenbeck flow
arXiv:2104.03732 · doi:10.1080/03605302.2022.2122835
Abstract
This work deals with mixing and dissipation ehancement for the solution of advection-diffusion equation driven by a Ornstein-Uhlenbeck velocity field. We are able to prove a quantitative mixing result, uniform in the diffusion parameter, and enhancement of dissipation over a finite time horizon.
27 pages
References in corpus (8)
- Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes
- Eddy heat exchange at the boundary under white noise turbulence
- 2D Euler equations with Stratonovich transport noise as a large scale stochastic model reduction
- From additive to transport noise in 2D fluid dynamics
- Almost-sure exponential mixing of passive scalars by the stochastic Navier-Stokes equations
- Stabilization by transport noise and enhanced dissipation in the Kraichnan model
- Diffusion and Mixing in Fluid Flow
- Stochastic model reduction: convergence and applications to climate equations