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arXiv · 2303.01971

On the vanishing viscosity limit for 3D axisymmetric flows without swirl

Patrick Brkic·Emil Wiedemann
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Abstract

We study the vanishing viscosity limit for the three-dimensional incompressible Navier-Stokes equations in terms of the relative vorticity in the setting of axisymmetric velocity fields without swirl. We show that the weak convergence of relative vorticity to a renormalized solution of the Euler equations, established by Nobili and Seis, can be upgraded to strong convergence.

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Patrick Brkic, Emil Wiedemann. 2023-03-03. On the vanishing viscosity limit for 3D axisymmetric flows without swirl. https://arxiv.org/abs/2303.01971

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