Resolvent estimates for 2 dimensional perturbations of plane Couette Flow
| dc.creator | Silva, Pablo Braz e | |
| dc.date | 2002-08-20 | |
| dc.date | 2002-09-24 | |
| dc.date.accessioned | 2026-07-07T04:50:17Z | |
| dc.date.available | 2026-07-07T04:50:17Z | |
| dc.description | We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing perturbations of the Couette flow. We prove estimates on the L_2 norm of the resolvent of this operator showing this norm to be proportional to the Reynolds number R for a region of the unstable half plane. For the remaining region, we show that the problem can be reduced to estimating the solution of a homogeneous ordinary differential equation with non-homogeneous boundary conditions. Numerical approximations indicate that the norm of the resolvent is proportional to R in the whole region of interest. | |
| dc.description | 16 pages, 4 figures. A mistake in the proof of Theorem 1 was corrected. The presentation was changed a little, and typos were corrected | |
| dc.identifier | https://arxiv.org/abs/math/0208139 | |
| dc.identifier | http://arxiv.org/abs/math/0208139 | |
| dc.identifier | Electron. J. Diff. Eqns., Vol. 2002(2002), No. 92, pp. 1-15 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64739 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 76E05; 47A10 | |
| dc.title | Resolvent estimates for 2 dimensional perturbations of plane Couette Flow | |
| dc.type | text |