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arXiv:1701.08003 [math.AP]AbstractReferencesReviewsResources

On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip rates

Yasunori Maekawa, Matthew Paddick

Published 2017-01-27Version 1

We prove some criteria for the convergence of weak solutions of the 2D incompressible Navier-Stokes equations with Navier slip boundary conditions to a strong solution of incompressible Euler. The slip rate depends on a power of the Reynolds number, and it is increasingly apparent that the power 1 may be critical for L^2 convergence, as hinted at in [hal-01093331].

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