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Hokkaido University Preprint Series in Mathematics >
On a linearized operator of the equation for Burgers vortices
| Title: | On a linearized operator of the equation for Burgers vortices |
| Authors: | Maekawa, Yasunori Browse this author |
| Issue Date: | 2007 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 841 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | Burgers vortices have been used as a model which expresses concentrated vorticity fields in turbulence. Several numerical results indicate that as the vortex Reynolds number is increasing, the associated Burgers vortex becomes more radial symmetric and has simpler structures. The purpose of this paper is to give a mathematical explanation for these numerical observations by studying a linearized operator of the equation for Burgers vortices. Based on the previous works by Th. Gallay and C. E. Wayne, we obtain some estimates and spectrum behavior of the linearized operator at large Reynolds numbers which are compatible with the numerical observations. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69650 |
| 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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