ON THE LIOUVILLE THEOREM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A CRITICAL SPACE
説明
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.
収録刊行物
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- Hokkaido University Preprint Series in Mathematics
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Hokkaido University Preprint Series in Mathematics 983 1-6, 2011-09-08
Department of Mathematics, Hokkaido University
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詳細情報 詳細情報について
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- CRID
- 1390572174748870656
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- NII論文ID
- 120006459676
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- DOI
- 10.14943/84130
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- HANDLE
- 2115/69790
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- JaLC
- IRDB
- CiNii Articles
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