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Global regularity for vortex patches

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Abstract

We present a proof of Chemin's [4] result which states that the boundary of a vortex patch remains smooth for all time if it is initially smooth.

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    A. L. Bertozzi & P. Constantin

Authors
  1. A. L. Bertozzi
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  2. P. Constantin
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Additional information

Communicated by A. Jaffe

Partially supported by a National Science Foundation Postdoctoral Fellowship

Partially supported by the National Science Foundation

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Bertozzi, A.L., Constantin, P. Global regularity for vortex patches. Commun.Math. Phys. 152, 19–28 (1993). https://doi.org/10.1007/BF02097055

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  • DOI: https://doi.org/10.1007/BF02097055

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