Vanishing viscosity limits for a class of circular pipe flows

Anna Mazzucato, Michael Taylor

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Abstract

We consider 3D Navier-Stokes flows with no-slip boundary condition in an infinitely long pipe with circular cross section. The velocity fields we consider are independent of the variable parametrizing the axis of the pipe, and the component of the velocity normal to the axis is arranged to be circularly symmetric, though we impose no such symmetry on the component of velocity parallel to the axis. For such flows we analyze the limit as the viscosity tends to zero, including boundary layer estimates.

Original languageEnglish (US)
Pages (from-to)328-361
Number of pages34
JournalCommunications in Partial Differential Equations
Volume36
Issue number2
DOIs
StatePublished - Feb 1 2011

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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