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 - 2010 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics