Coriolis-driven fluid motion on spherical surfaces
Analysis of PDEs
2024-12-31 v1
Abstract
We consider the motion of an incompressible viscous fluid on a sphere, incorporating the effects of the Coriolis force. We demonstrate that global solutions exist for any divergence-free initial condition with finite kinetic energy. Furthermore, we show that each solution converges at an exponential rate to a state that is aligned with the rotation of the sphere.
Cite
@article{arxiv.2412.20187,
title = {Coriolis-driven fluid motion on spherical surfaces},
author = {Yuanzhen Shao and Gieri Simonett and Mathias Wilke},
journal= {arXiv preprint arXiv:2412.20187},
year = {2024}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:2311.01221