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$L^q$ estimates of weak solutions to the stationary Stokes equations around a rotating body
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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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Submitter: 数学紀要登録作業用
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