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About the Decay of Vorticity in a Two-dimensional Incompressible Viscous Fluid

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Abstract

The main purpose of this article is to investigate the behavior of the vorticity in a two dimensional incompressible viscous medium. We give bounds for the maximal amount of vorticity which can be concentrated in a domain of a given size. In order to obtain bounds we compare the vorticity equation to the heat equation in ℝ2

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Authors and Affiliations

  1. Fakultat fur Mathematik, Ruhr Universitat Bochum, D-44780 Bochum, Germany

    Brice Franke

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  1. Brice Franke
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Correspondence to Brice Franke.

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Franke, B. About the Decay of Vorticity in a Two-dimensional Incompressible Viscous Fluid. Semigroup Forum 69, 303–316 (2004). https://doi.org/10.1007/s00233-004-0125-1

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  • DOI: https://doi.org/10.1007/s00233-004-0125-1

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