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arXiv:1104.3255 [math.AP]AbstractReferencesReviewsResources

Uniqueness criterion of weak solutions for the 3D Navier-Stokes equations

Abdelhafid Younsi

Published 2011-04-16, updated 2015-10-17Version 6

In this paper, we establish a new uniqueness criterion for weak solutions to the 3D Navier-Stokes equations. We prove that if $u$ is a weak solution of the three dimensional Navier-Stokes equations and if $u$ belongs to the space $L^{\frac{5}{2}}(0,T;V)$, then $u$ is unique. This result, improves some known uniqueness results of weak solutions for the 3D Navier-Stokes equations.

Comments: 04 pages
Categories: math.AP
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