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

preprint2020arXivOpen access

Abstract

We consider the 3D incompressible Navier-Stokes equations under the following 2+122+\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.

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