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A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations
| Title: | A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations |
| Authors: | GIGA, YOSHIKAZU Browse this author |
| Keywords: | Liouville problem | | Navier-Stokes equations | | non-slip boundary condition | | Poiseuille type flow |
| Issue Date: | 18-Nov-2011 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 989 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | We construct a Poiseuille type ow which is a bounded entire solution of the nonstationary Navier-Stokes and the Stokes equations in a half space with non-slip boundary condition. Our result in particular implies that there is a nontrivial solution for the Liouville problem under the non-slip boundary condition. A review for cases of the whole space and a slip boundary condition is included. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69795 |
| 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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