SPECTRAL PROPERTIES IN $L^q$ OF AN OSEEN OPERATOR MODELLING FLUID FLOW PAST A ROTATING BODY
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- FARWIG REINHARD
- Darmstadt University of Technology, Department of Mathematics
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- NEUSTUPA JIRÍ
- Czech Academy of Sciences, Mathematical Institute
説明
We study the spectrum of a linear Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating compact body. We prove that the essential spectrum consists of an infinite set of overlapping parabolic regions in the left half-plane of the complex plane. The full spectrum coincides with the essential and continuous spectrum if the operator is considered in the whole 3D space. Our approach is based on the Fourier transform in the whole space and the transfer of the results to the exterior domain.
収録刊行物
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 62 (2), 287-309, 2010
東北大学大学院理学研究科数学専攻
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詳細情報 詳細情報について
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- CRID
- 1390282680093453312
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- NII論文ID
- 130004705796
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- ISSN
- 2186585X
- 00408735
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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
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可