Stability of plane Couette flows with respect to small periodic perturbations

초록

We consider the plane Couette flow v(0) = (x(n), 0,...,0) in the infinite layer domain Omega = Rn-1 x (-1, 1), where n >= 2 is an integer. The exponential stability of v(0) in L-n is shown under the condition that the initial perturbation is periodic in (x(1),....,x(n-1)) and sufficiently small in the L-n-norm. (C) 2009 Elsevier Ltd. All rights reserved.

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