VORTICES ON A SPHERE

Author:

Alobaidi G.1,Haslam M. C.2,Mallier R.3

Affiliation:

1. Department of Mathematics and Statistics , American University of Sharjah , Sharjah, United Arab Emirates

2. Department of Mathematics and Statistics , York University , 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada

3. Department of Applied Mathematics , University of Western Ontario , London, ON, N6A 5B7, Canada

Abstract

We consider flows on a spherical surface and use a streamfunction formulation to derive a nonlinear equation governing steady-state flows in that geometry. We present some new vortex solutions to this equation.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Stratospheric Planetary Flows from the Perspective of the Euler Equation on a Rotating Sphere;Archive for Rational Mechanics and Analysis;2022-05-30

2. Analytical solutions for annular multipolar vortex equilibria on a sphere;European Journal of Mechanics - B/Fluids;2015-09

3. Vortical structures on spherical surfaces;Journal of the Nigerian Mathematical Society;2015-08

4. Vortex Streets on a Sphere;Journal of Applied Mathematics;2011

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