On the vanishing viscosity limit for 3D axisymmetric flows without swirl
Analysis of PDEs
2023-03-06 v1
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.
Keywords
Cite
@article{arxiv.2303.01971,
title = {On the vanishing viscosity limit for 3D axisymmetric flows without swirl},
author = {Patrick Brkic and Emil Wiedemann},
journal= {arXiv preprint arXiv:2303.01971},
year = {2023}
}