Large time behavior of derivatives of the vorticity for the two dimensional Navier-Stokes flow

Maekawa, Yasunori

Hokkaido University Preprint Series in Mathematics, 2005, 716, 1-17

Permalink : https://doi.org/10.14943/84254

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アクセス権	open access
DOI	https://doi.org/10.14943/84254
URI	https://hdl.handle.net/2115/69912
タイトル	Large time behavior of derivatives of the vorticity for the two dimensional Navier-Stokes flow
著者	著者名 Maekawa, Yasunori
言語	英語
発行日	2005
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	716
ページ	1-17
抄録	This paper studies the large time asymptotic behavior of derivatives of the vorticity solving the two-dimensional vorticity equations equivalent to the Navier-Stokes equations. It is well-known by now that the vorticity behaves asymptotically as the Oseen vortex provided that the initial vorticity is integrable. This paper shows that each derivative of the vorticity also behave asymptotically as that of the Oseen vortex. For the proof new spatial decay estimates for derivatives are established. These estimates control behavior at the space infinity. The convergence result follows from a rescaling and compactness argument.
資源タイプ	紀要論文
出版タイプ	Version of Record