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OnL 1-vorticity for 2-D incompressible flow

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Abstract

We prove the existence of a classical weak solution for the 2-D incompressible Euler equations with initial vorticity ω0=ω ′0 + ω ″0 , where ω ′0 is inL 1(R 2)⌢H −1(R 2), compactly supported, and ω ″0 is a compactly supported positive Radon measure inH −1(R 2).

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Authors and Affiliations

  1. Seminar für Angewandte Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland

    Italo Vecchi

  2. Department of Mathematics, Northwestern University, 2033 Sheridan Road, 60208, Evanston, IL, U.S.A.

    Sijue Wu

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  1. Italo Vecchi
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  2. Sijue Wu
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Vecchi, I., Wu, S. OnL 1-vorticity for 2-D incompressible flow. Manuscripta Math 78, 403–412 (1993). https://doi.org/10.1007/BF02599322

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  • DOI: https://doi.org/10.1007/BF02599322

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