Enhanced dissipation, hypoellipticity for passive scalar equations with fractional dissipation
arXiv:2103.07906
Abstract
We consider the passive scalar equations subject to shear flow advection and fractional dissipation. The enhanced dissipation estimates are derived. For classical passive scalar equation (), our result agrees with the sharp one obtained in \cite{Wei18}
References in corpus (9)
- On Landau damping
- Suppression of chemotactic explosion by mixing
- Transition threshold for the 3D Couette flow in a finite channel
- Diffusion and mixing in fluid flow via the resolvent estimate
- Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows
- Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
- Maximal mixing by incompressible fluid flows
- Linear inviscid damping for a class of monotone shear flow in Sobolev spaces
- Metastability for the dissipative quasi-geostrophic equation and the non-local enhancement