On the inviscid limit of the Navier-Stokes equations

نویسندگان

  • Peter Constantin
  • Igor Kukavica
  • Vlad Vicol
چکیده

We consider the convergence in the L norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary conditions. We prove that if the Oleinik conditions of no back-flow in the trace of the Euler flow, and of a lower bound for the Navier-Stokes vorticity is assumed in a Kato-like boundary layer, then the inviscid limit holds. March 30, 2014.

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تاریخ انتشار 2014