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Hokkaido University Preprint Series in Mathematics >
Large time behavior of derivatives of the vorticity for the two dimensional Navier-Stokes flow
| Title: | Large time behavior of derivatives of the vorticity for the two dimensional Navier-Stokes flow |
| Authors: | Maekawa, Yasunori Browse this author |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 716 |
| Start Page: | 1 |
| End Page: | 17 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69912 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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