Bounds for the threshold amplitude for plane Couette flow
| dc.creator | Liefvendahl, Mattias | |
| dc.creator | Kreiss, Gunilla | |
| dc.date | 2003-02-03 | |
| dc.date.accessioned | 2026-07-07T04:54:53Z | |
| dc.date.available | 2026-07-07T04:54:53Z | |
| dc.description | We prove nonlinear stability for finite amplitude perturbations of plane Couette flow. A bound of the solution of the resolvent equation in the unstable complex half-plane is used to estimate the solution of the full nonlinear problem.The result is a lower bound, including Reynolds number dependence,of the threshold amplitude below which all perturbations are stable. Our result is an improvement of the corresponding bound derived in \cite{KLH:1}. | |
| dc.description | arxiv version is already official | |
| dc.identifier | https://arxiv.org/abs/math/0302028 | |
| dc.identifier | http://arxiv.org/abs/math/0302028 | |
| dc.identifier | J. Nonlinear Math. Phys., volume 9, no. 3 (2002) 311-324 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66432 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Bounds for the threshold amplitude for plane Couette flow | |
| dc.type | text |