On the zero viscosity limit in incompressible fluids

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Abstract

We discuss the convergence in the limit of vanishing viscosity of solutions of the Navier-Stokes equations for incompressible fluid flow to solutions of the Euler equations in the presence of boundaries. We present explicit examples in two and three dimensions for which convergence holds in the energy norm, even when the flow is forced through moving boundaries. We obtain convergence rates in viscosity and discuss concentration of vorticity at the boundary in the limit.

Original languageEnglish (US)
Article number014002
JournalPhysica Scripta T
VolumeT132
DOIs
StatePublished - Dec 1 2008
EventInternational Conference 'Turbulent Mixing and Beyond' - Trieste, Italy
Duration: Aug 18 2007Aug 26 2007

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics

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