Decay properties of the Stokes semigroup in exterior domains with Neumann boundary condition
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- Shibata Yoshihiro
- Department of Mathematical Sciences, School of Science and Engineering, Waseda University
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- Shimizu Senjo
- Faculty of Engineering, Shizuoka University
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In this paper, we obtain local energy decay estimates and Lp-Lq estimates of the solutions to the Stokes equations with Neumann boundary condition which is obtained as a linearized equation of the free boundary problem for the Navier-Stokes equations. Comparing with the non-slip boundary condition case, we have a better decay estimate for the gradient of the semigroup because of the null force at the boundary.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 59 (1), 1-34, 2007
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205116324096
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- NII論文ID
- 10019540463
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2302661
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- NDL書誌ID
- 8612713
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- 本文言語コード
- en
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- データソース種別
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- IRDB
- NDL
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- 使用不可
