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arXiv · 1803.01453

Nonlinear Orbital Stability for Planar Vortex Patches

Daomin Cao·Guodong Wang·Jie Wan
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Abstract

In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a result, nonlinear stability for an isolated vortex patch is proved. The proof is based on conservation of energy and vorticity, which is an analogue of the classical Liapunov function method.

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Daomin Cao, Guodong Wang, Jie Wan. 2018-03-05. Nonlinear Orbital Stability for Planar Vortex Patches. https://arxiv.org/abs/1803.01453

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