Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus
Analysis of PDEs
2024-02-13 v1
Abstract
We construct non-trivial steady solutions in for the 2D Navier-Stokes equations on the torus. In particular, the solutions are not square integrable, so that we have to redefine the notion of solutions.
Keywords
Cite
@article{arxiv.2402.07534,
title = {Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus},
author = {Pierre Gilles Lemarié-Rieusset},
journal= {arXiv preprint arXiv:2402.07534},
year = {2024}
}