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A regularity class for the Navier-Stokes equations in Lorentz spaces

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Abstract.

We extend Serrin's regularity class for weak solutions of the Navier-Stokes equations to a larger class replacing the Lebesgue spaces by Lorentz spaces.

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  1. Fachbereich Mathematik-Informatik, Universität-GH, Warburger Str. 100, 33098 Paderborn, e-mail: hsohr@math.uni-paderborn.de, , , , , , DE

    Hermann Sohr

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  1. Hermann Sohr
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Received November 30, 2000; accepted January 16, 2001.

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Sohr, H. A regularity class for the Navier-Stokes equations in Lorentz spaces. J.evol.equ. 1, 441–467 (2001). https://doi.org/10.1007/PL00001382

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  • DOI: https://doi.org/10.1007/PL00001382

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