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ON THE LIOUVILLE THEOREM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A CRITICAL SPACE

Authors :
Chae, Dongho
Yoneda, Tsuyoshi
Chae, Dongho
Yoneda, Tsuyoshi
Publication Year :
2011

Abstract

In this paper we prove Liouville type theorem for the stationary Navier-Stokes equations on R3. More speci cally, if a solution u 2 _H 1(R3) \ L1(R3) to the stationary Navier-Stokes system satis es additional conditions characterized by the de- cays near in nity and by the oscillation, then we show that u = 0.

Details

Database :
OAIster
Notes :
application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1378523374
Document Type :
Electronic Resource