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arXiv · 2505.03430

Exact solutions of fluid equations on a sphere

Sun-Chul Kim·Habin Yim
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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.

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Sun-Chul Kim, Habin Yim. 2025-05-06. Exact solutions of fluid equations on a sphere. https://arxiv.org/abs/2505.03430

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