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Bounds on the growth of the support of a vortex patch

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Abstract

We study the time evolution of the support of a vortex patch evolving in ℝ2 according to the Euler Equation for an incompressible fluid and we bound its growth. Furthermore we discuss the same problem in the framework of a simplified model. Finally we consider a similar problem for the Navier-Stokes flow.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università “La Sapienza”, Piazzale A. Moro 2, I-00185, Roma, Italy

    Carlo Marchioro

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  1. Carlo Marchioro
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Additional information

Communicated by J.L. Lebowitz

Research supported by MURST and by CNR-GNFM

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Marchioro, C. Bounds on the growth of the support of a vortex patch. Commun.Math. Phys. 164, 507–524 (1994). https://doi.org/10.1007/BF02101489

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  • DOI: https://doi.org/10.1007/BF02101489

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