Stability of plane Couette flows with respect to small periodic perturbations |
| |
Authors: | Horst Heck Hideo Kozono |
| |
Affiliation: | a Institut fuer Mathematik, TU Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany b Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea c Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan |
| |
Abstract: | We consider the plane Couette flow v0=(xn,0,…,0) in the infinite layer domain , where n≥2 is an integer. The exponential stability of v0 in Ln is shown under the condition that the initial perturbation is periodic in (x1,…,xn−1) and sufficiently small in the Ln-norm. |
| |
Keywords: | 35Q30 76E05 |
本文献已被 ScienceDirect 等数据库收录! |
|