We consider the plane Couette flow v0 = (xn, 0, ..., 0) in the infinite layer domain Ω = Rn - 1 × (- 1, 1), 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.
|Number of pages||20|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2009 Nov 1|
- Plane Couette flow
- The Navier-Stokes equations