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Stability of plane Couette flows with respect to small periodic perturbations |
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| Authors: | Horst Heck Hideo Kozono |
| Institution: | 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 |
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