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# $L^q$ estimates of weak solutions to the stationary Stokes equations around a rotating body

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 Please use this identifier to cite or link to this item:https://doi.org/10.14943/83842

 Title: $L^q$ estimates of weak solutions to the stationary Stokes equations around a rotating body Authors: Hishida, Toshiaki Browse this author Keywords: Stokes flow rotating body exterior domain Lq estimate Issue Date: 2005 Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 691 Start Page: 1 End Page: 29 Abstract: We establish the existence, uniqueness and $L^q$ estimates of weak solutions to the stationary Stokes equations with rotation effect both in the whole space and in exterior domains. The equation arises from the study of viscous incompressible flows around a body that is rotating with a constant angular velocity, and it involves an important drift operator with unbounded variable coefficient that causes some difficulties. Type: bulletin (article) URI: http://hdl.handle.net/2115/69496 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

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