Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations

Abstract

We consider the 3D incompressible Navier-Stokes equations under the following $2+\frac{1}{2}$-dimensional situation: vertical vortex blob (quasi-streamwise vortices) being stretched by two-dimensional shear flow. We prove enhanced dissipation induced by such quasi-streamwise vortices.

Cited by in corpus (1)

• Characterization of three-dimensional Euler flows supported on finitely many Fourier modes