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

2017/01/27 by Maekawa, Yasunori, Paddick, Matthew
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1701.08003

Abstract

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 L² convergence, as hinted at in [hal-01093331].

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