On the vanishing viscosity limit in a disk
| dc.creator | Kelliher, James P | |
| dc.date | 2006-12-10 | |
| dc.date.accessioned | 2026-07-07T12:53:14Z | |
| dc.date.available | 2026-07-07T12:53:14Z | |
| dc.description | We say that the solution u to the Navier-Stokes equations converges to a solution v to the Euler equations in the vanishing viscosity limit if u converges to v in the energy norm uniformly over a finite time interval. Working specifically in the unit disk, we show that a necessary and sufficient condition for the vanishing viscosity limit to hold is the vanishing with the viscosity of the time-space average of the energy of u in a boundary layer of width proportional to the viscosity due to modes (eigenfunctions of the Stokes operator) whose frequencies in the radial or the tangential direction lie between L and M. Here, L must be of order less than 1/(viscosity) and M must be of order greater than 1/(viscosity). | |
| dc.identifier | https://arxiv.org/abs/math-ph/0612027 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0612027 | |
| dc.identifier | Mathematische Annalen, 343:701-726, 2009 | |
| dc.identifier | doi:10.1007/s00208-008-0287-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223556 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 76D05; 76B99; 76D99 | |
| dc.title | On the vanishing viscosity limit in a disk | |
| dc.type | text |