TOPOLOGICAL INSTABILITY OF LAMINAR FLOWS FOR THE TWO-DIMENSIONAL NAVIER-STOKES EQUATION WITH CIRCULAR ARC NO-SLIP BOUNDARY CONDITIONS

Yoneda, Tsuyoshi

Hokkaido University Preprint Series in Mathematics, 2013, 1040, 1-24

Permalink : https://doi.org/10.14943/84184

このアイテムのアクセス数:782件（2026-08-17 23:24 集計）

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DOI	https://doi.org/10.14943/84184
URI	https://hdl.handle.net/2115/69844
タイトル	TOPOLOGICAL INSTABILITY OF LAMINAR FLOWS FOR THE TWO-DIMENSIONAL NAVIER-STOKES EQUATION WITH CIRCULAR ARC NO-SLIP BOUNDARY CONDITIONS
著者	著者名 Yoneda, Tsuyoshi
言語	英語
キーワード	Navier-Stokers equation
	laminar flow
	no-slip boundary condition
発行日	2013-09-17
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1040
ページ	1-24
抄録	In general, before separating from a boundary, the flow moves toward reverse direction near the boundary against the laminar flow direction. Here in this paper, creation of the reverse flow phenomena (in a mathematical sense) is observed. More precisely, in the non-stationary two-dimensional Navier-Stokes equation with circular arc no-slip boundary conditions and diffusing laminar initial data (we de ne them rigorously in the paper), topologically changing flow, namely, instability is observed.
資源タイプ	紀要論文
出版タイプ	Version of Record