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


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84130

Title:	ON THE LIOUVILLE THEOREM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A CRITICAL SPACE
Authors:	Chae, Dongho Browse this author
Authors:	Yoneda, Tsuyoshi Browse this author
Issue Date:	8-Sep-2011
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	983
Start Page:	1
End Page:	6
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.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69790
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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