Author： Kim Hyunseok
Publisher： Springer Publishing Company
ISSN： 0025-2611
Source： manuscripta mathematica, Vol.115, Iss.1, 2004-09, pp. : 85-100
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Abstract
We study the interior regularity of weak solutions of the incompressible Navier-Stokes equations in Ω×(0,T), where and 0T<∞. the="" local="" boundedness="" of="" a="" weak="" solution="">u is proved under the assumption that is sufficiently small for some (r,s) with and 3≤r<∞. our="" result="" extends="" the="" well-known="" criteria="" of="" serrin="" (1962),="" struwe="" (1988)="" and="" takahashi="" (1990)="" to="" the="" weak="" space-time="" spaces.="">
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