Exact solutions of fluid equations on a sphere
Classical Analysis and ODEs
2025-05-07 v1 Analysis of PDEs
Abstract
Exact solutions of both the Navier-Stokes and Euler equations are found on the surface of a sphere. Under the assumption of a vanishing convection term, the flow of two oppositely rotating point vortices at the poles turns out to be the unique common solution.
Cite
@article{arxiv.2505.03430,
title = {Exact solutions of fluid equations on a sphere},
author = {Sun-Chul Kim and Habin Yim},
journal= {arXiv preprint arXiv:2505.03430},
year = {2025}
}
Comments
7 pages