Article ID Journal Published Year Pages File Type
6419285 Journal of Mathematical Analysis and Applications 2012 20 Pages PDF
Abstract

In this paper, we study the stability of stationary solutions w for the Navier-Stokes flows in an exterior domain with zero velocity at infinity. With suitable assumptions of w, by the works of Chen (1993), Kozono-Ogawa (1994) and Borchers-Miyakawa (1995), if u0−w∈Lr(Ω)∩L3(Ω) then one can obtain‖u(t)−w‖p=O(t−32(1r−1p))for 13r3−rα.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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