Forward self-similar solutions to the 2D Navier--Stokes equations
Analysis of PDEs
2026-01-07 v1 Fluid Dynamics
Abstract
We construct self-similar solutions to the 2D Navier--Stokes equations evolving from arbitrarily large --homogeneous initial data and present numerical evidence for their non-uniqueness.
Keywords
Cite
@article{arxiv.2601.03161,
title = {Forward self-similar solutions to the 2D Navier--Stokes equations},
author = {Dallas Albritton and Julien Guillod and Mikhail Korobkov and Xiao Ren},
journal= {arXiv preprint arXiv:2601.03161},
year = {2026}
}
Comments
35 pages, 4 figures