On homogenization of a diffusion perturbed by a periodic reflection invariant vector field
| dc.creator | Conlon, Joseph G. | |
| dc.date | 2006-09-25 | |
| dc.date.accessioned | 2026-07-07T07:25:14Z | |
| dc.date.available | 2026-07-07T07:25:14Z | |
| dc.description | In this paper the author studies the problem of the homogenization of a diffusion perturbed by a periodic reflection invariant vector field. The vector field is assumed to have fixed direction but varying amplitude. The existence of a homogenized limit is proven and formulas for the effective diffusion constant are given. In dimension $d=1$ the effective diffusion constant is always less than the constant for the pure diffusion. In $d>1$ this property no longer holds in general. | |
| dc.identifier | https://arxiv.org/abs/math/0609712 | |
| dc.identifier | http://arxiv.org/abs/math/0609712 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116651 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R60 60H30 60J60 | |
| dc.title | On homogenization of a diffusion perturbed by a periodic reflection invariant vector field | |
| dc.type | text |