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Lr‐Lp Stability of the Incompressible Flows with Nonzero Far‐Field Velocity

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  • Jaiok Roh

Abstract

We consider the stability of stationary solutions w for the exterior Navier‐Stokes flows with a nonzero constant velocity u∞ at infinity. For u∞ = 0 with nonzero stationary solution w, Chen (1993), Kozono and Ogawa (1994), and Borchers and Miyakawa (1995) have studied the temporal stability in Lp spaces for 1 1 and obtain Lr‐Lp stability as Kozono and Ogawa and Borchers and Miyakawa obtained for u∞ = 0.

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Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:856896
DOI: 10.1155/2011/856896
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