On the existence of Burgers vortices for high Reynolds numbers

Maekawa, Yasunori

Hokkaido University Preprint Series in Mathematics, 2007, 846, 1-19

Permalink : https://doi.org/10.14943/83996

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アクセス権	open access
DOI	https://doi.org/10.14943/83996
URI	https://hdl.handle.net/2115/69655
タイトル	On the existence of Burgers vortices for high Reynolds numbers
著者	著者名 Maekawa, Yasunori
言語	英語
発行日	2007
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	846
ページ	1-19
抄録	Axisymmetric or non-axisymmetric Burgers vortices have been studied numerically as a model of concentrated vorticity elds. Recently, it is rigorously proved that non-axisymmetric Burgers vortices exist for all values of the vortex Reynolds number if an asymmetric parameter is su ciently small. On the other hand, several numerical results suggest that Burgers vortices have simpler structures if the vortex Reynolds number is large, even when the asymmetric parameter is not small. In this paper we give a rigorous explanation for this numerical observation and extend the existence results for high vortex Reynolds numbers.
資源タイプ	紀要論文
出版タイプ	Version of Record