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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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