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arXiv · 0909.4111

Stability in $L^1$ of circular vortex patches

Thomas C. Sideris·Luis Vega
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Abstract

The motion of incompressible and ideal fluids is studied in the plane. The stability in $L^1$ of circular vortex patches is established among the class of all bounded vortex patches of equal strength without any restriction on the size of the initial perturbation.

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Thomas C. Sideris, Luis Vega. 2009-09-22. Stability in $L^1$ of circular vortex patches. https://arxiv.org/abs/0909.4111

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