### 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 language | English (US) |
---|---|

Pages (from-to) | 328-361 |

Number of pages | 34 |

Journal | Communications in Partial Differential Equations |

Volume | 36 |

Issue number | 2 |

DOIs | |

State | Published - Feb 1 2011 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

### Cite this

*Communications in Partial Differential Equations*,

*36*(2), 328-361. https://doi.org/10.1080/03605302.2010.505973

}

*Communications in Partial Differential Equations*, vol. 36, no. 2, pp. 328-361. https://doi.org/10.1080/03605302.2010.505973

**Vanishing viscosity limits for a class of circular pipe flows.** / Mazzucato, Anna; Taylor, Michael.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Vanishing viscosity limits for a class of circular pipe flows

AU - Mazzucato, Anna

AU - Taylor, Michael

PY - 2011/2/1

Y1 - 2011/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78650300232&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650300232&partnerID=8YFLogxK

U2 - 10.1080/03605302.2010.505973

DO - 10.1080/03605302.2010.505973

M3 - Article

AN - SCOPUS:78650300232

VL - 36

SP - 328

EP - 361

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

SN - 0360-5302

IS - 2

ER -