The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces
Takayoshi Ogawa and Yasushi Taniuchi
Source: Tohoku Math. J. (2) Volume 56, Number 1
(2004), 65-77.
Abstract
We investigate a limiting uniqueness criterion in terms of the vorticity for the Navier-Stokes equations in the Besov space. We prove that Leray-Hopf's weak solution is unique under an auxiliary assumption that the vorticity belongs to a scale characterized by the Besov space in space, and the Orlicz space in time direction. As a corollary, we give also the uniqueness criterion in terms of bounded mean oscillation (BMO).
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Permanent link to this document: http://projecteuclid.org/euclid.tmj/1113246381
Mathematical Reviews number (MathSciNet): MR2028918
Zentralblatt MATH identifier: 02158074
Digital Object Identifier: doi:10.2748/tmj/1113246381
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