๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Stability of plane Couette flows with respect to small periodic perturbations

โœ Scribed by Horst Heck; Hyunseok Kim; Hideo Kozono

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
1005 KB
Volume
71
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis

We consider the plane Couette flow v 0 = (x n , 0, . . . , 0) in the infinite layer domain

, where n โ‰ฅ 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.

๐Ÿ“œ SIMILAR VOLUMES

On the stability of parallel flows with
On the stability of parallel flows with respect to periodic disturbances
โœ Shih-i Pai ๐Ÿ“‚ Article ๐Ÿ“… 1955 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 497 KB

The stability of a two-dimensional parallel flow has been investigated by the energy method. It was found that the flow is stable with respect to spatially periodic disturbances of the type u' = Re [.f(y, z, t) where x is the distance along the direction of the basic flow. This result holds true fo