Large time behavior of the vorticity of two‐dimensional flow and its application to vortex formation

Giga, Y.; Kanbe, T.

Hokkaido University Preprint Series in Mathematics, 1987, 2, 2-44

Permalink : https://doi.org/10.14943/48746

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DOI	https://doi.org/10.14943/48746
URI	https://hdl.handle.net/2115/45523
タイトル	Large time behavior of the vorticity of two‐dimensional flow and its application to vortex formation
著者	著者名 Giga, Y.
著者	著者名 Kanbe, T.
言語	英語
キーワード	35-xx PARTIAL DIFFERENTIAL EQUATIONS
発行日	1987-05
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	2
ページ	2-44
抄録	We consider the Cauchy problem for the two-dimensional vorticity equation. We show that the solution ω behaves like a constant multiple of the Gauss kernel having the same total vorticity as time tends to infinity. No particular structure of initial data ω = ω(x,0) is assumed except the restriction that 0 the Reynolds number R = ſlω0 ldx/v is small, where v is the kinematic viscosity. Applying a time-dependent scale transformation, we show a stability of Burgers' vortex, which physically implies formation of a concentrated vortex.
資源タイプ	紀要論文
出版タイプ	Version of Record