Quantitative estimates for uniformly-rotating vortex patches

نویسندگان

چکیده

In this paper, we derive some quantitative estimates for uniformly-rotating vortex patches. We prove that if a non-radial simply-connected patch D is with small angular velocity 0<??1, then the outmost point of must be far from center rotation, distance at least order ??1/2. For m-fold symmetric rotating patches, show their close to 12 m?1 difference most O(1/m), and also obtain on L? norm polar graph which parametrizes boundary.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2022

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2022.108779