On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip ratesReport as inadecuate




On convergence criteria for incompressible Navier-Stokes equations with Navier boundary conditions and physical slip rates - Download this document for free, or read online. Document in PDF available to download.

1 Department of Mathematics, Graduate School of Science 2 LJLL - Laboratoire Jacques-Louis Lions

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 L^2 convergence, as hinted at in hal-01093331.

Keywords : Boundary layer theory Navier boundary condition Inviscid limit Navier-Stokes and Euler equations





Author: Yasunori Maekawa - Matthew Paddick -

Source: https://hal.archives-ouvertes.fr/



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