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A regularity class for the Navier-Stokes equations in Lorentz spaces
Authors:Hermann Sohr
Affiliation:Fachbereich Mathematik-Informatik, Universit?t-GH, Warburger Str. 100, 33098 Paderborn, e-mail: hsohr@math.uni-paderborn.de, DE
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. Received November 30, 2000; accepted January 16, 2001.
Keywords:: Navier-Stokes equations   weak solutions   regularity.
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