A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations

GIGA, YOSHIKAZU

Hokkaido University Preprint Series in Mathematics, 2011, 989, 1-16

Permalink : https://doi.org/10.14943/84136

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DOI	https://doi.org/10.14943/84136
URI	https://hdl.handle.net/2115/69795
タイトル	A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations
著者	著者名 GIGA, YOSHIKAZU
言語	英語
キーワード	Liouville problem
	Navier-Stokes equations
	non-slip boundary condition
	Poiseuille type flow
発行日	2011-11-18
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	989
ページ	1-16
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record