Enhanced dissipation for stochastic Navier-Stokes equations with transport noise

Abstract

The phenomenon of dissipation enhancement by transport noise is shown for stochastic 2D Navier-Stokes equations in velocity form. In the 3D case, suppression of blow-up is proved for stochastic Navier-Stokes equations in vorticity form; in particular, quantitative estimate allows us to choose the parameters of noise, uniformly in initial vorticity bounded in $L^2$-norm, so that global solutions exist with a large probability sufficiently close to 1.

The version accepted by J Dyn Diff Equat

References in corpus (9)

• Global L_2-solutions of stochastic Navier-Stokes equations
• 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
• Stochastic Navier-Stokes Equations and Related Models
• Global well-posedness of the 3D Navier--Stokes equations perturbed by a deterministic vector field
• LDP and CLT for SPDEs with Transport Noise
• Regularization by transport noise for 3D MHD equations
• Well posedness and limit theorems for a class of stochastic dyadic models

Cited by in corpus (1)

• Finite time mixing and enhanced dissipation for 2D Navier--Stokes equations by Ornstein--Uhlenbeck flow