Viscous vortex crystals
Analysis of PDEs
2026-02-27 v1 Fluid Dynamics
Abstract
We study the solution to the two-dimensional incompressible Navier-Stokes equations arising from a sum of Dirac masses in a particular co-rotating configuration. This configuration consists of a polygonal vortex crystal with or without a central vortex. By exploiting the symmetries and stability properties of the system, we describe and control the solution up to sub-diffusive time scales, prior to the expected onset of vortex merging.
Cite
@article{arxiv.2602.23134,
title = {Viscous vortex crystals},
author = {Michele Dolce and Martin Donati},
journal= {arXiv preprint arXiv:2602.23134},
year = {2026}
}
Comments
62 pages, 39 figures