On a generalized resolvent estimate for the Stokes system with Robin boundary condition
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- Shibata Yoshihiro
- Department of Mathematical Sciences, School of Science and Engineering, Waseda University
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- Shimada Rieko
- Department of Mathematical Sciences, School of Science and Engineering, Waseda University
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抄録
We prove a generalized resolvent estimate of Stokes equations with nonhomogeneous Robin boundary condition and divergence condition in the Lq framework (1 < q < ∞) in a domain of Rn (n ≥ 2) that is a bounded domain or the exterior of a bounded domain. The Robin condition consists of two conditions: ν·u = 0 and αu + β(T(u,p)ν - <T(u,p)ν,ν>ν) = h on the boundary of the domain with α, β ≥ 0 and α + β = 1, where u denotes a velocity vector, p a pressure, T(u, p) the stress tensor for the Stokes flow, and ν the unit outer normal to the boundary of the domain. It presents the slip condition when β = 1 and the non-slip one when α = 1, respectively.
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 (2), 469-519, 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
- 1390001205116298112
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- NII論文ID
- 10019540335
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2325694
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- NDL書誌ID
- 8713756
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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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- JaLC
- NDL
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- CiNii Articles
- KAKEN
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- 使用不可