Vortex stretching and anomalous 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: small-scale horizontal vortex blob being stretched by large-scale, anti-parallel pairs of vertical vortex tubes. We prove anomalous dissipation induced by such vortex-stretching.

To appear in Math. Annal

References in corpus (3)

• Infinite superlinear growth of the gradient for the two-dimensional Euler equation
• An Onsager Singularity Theorem for Leray Solutions of Incompressible Navier-Stokes
• Turbulent Cascade Direction and Lagrangian Time-Asymmetry

Cited by in corpus (1)

• Anomalous diffusion in a randomly modulated velocity field