On the existence of helical invariant solutions to steady Navier-Stokes equations
Analysis of PDEs
2022-03-29 v2
Abstract
In this paper, we investigate the nonhomogeneous boundary value problem for the steady Navier-Stokes equations in a helically symmetric spatial domain. When data is assumed to be helical invariant and satisfies the compatibility condition, we prove this problem has at least one helical invariant solution.
Keywords
Cite
@article{arxiv.2102.13341,
title = {On the existence of helical invariant solutions to steady Navier-Stokes equations},
author = {Mikhail Korobkov and Wenqi Lyu and Shangkun Weng},
journal= {arXiv preprint arXiv:2102.13341},
year = {2022}
}
Comments
24 pages