Vortex stretching and anomalous dissipation for the incompressible 3D Navier-Stokes equations

2020/01/08 by Jeong, In-Jee, Yoneda, Tsuyoshi
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2001.02333

Abstract

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

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