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arXiv · 2110.00561

The global regularity of vortex patches revisited

Joan Verdera
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Abstract

We prove persistence of the regularity of the boundary of vortex patches for a large class of transport equations in the plane. The velocity field is given by convolution of the vorticity with an odd kernel, homogeneous of degree $-1$ and of class $C^2$ off the origin.

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Joan Verdera. 2021-09-30. The global regularity of vortex patches revisited. https://doi.org/10.1016/j.aim.2023.108917

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