Resolvent Estimates for 2-Dimensional Perturbations of Plane Couette Flow
| dc.contributor.author | Braz e Silva, Pablo | |
| dc.date.accessioned | 2020-08-21T19:19:03Z | |
| dc.date.available | 2020-08-21T19:19:03Z | |
| dc.date.issued | 2002-10-27 | |
| dc.description.abstract | We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow. We prove estimates on the L2 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.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Braz e Silva, P. (2002). Resolvent estimates for 2-dimensional perturbations of plane Couette flow. <i>Electronic Journal of Differential Equations, 2002</i>(92), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12449 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Couette flow | |
| dc.subject | Resolvent estimates | |
| dc.title | Resolvent Estimates for 2-Dimensional Perturbations of Plane Couette Flow | |
| dc.type | Article |