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Hokkaido University Preprint Series in Mathematics >
On stability of steady circular flows in a two-dimensional exterior disk
| Title: | On stability of steady circular flows in a two-dimensional exterior disk |
| Authors: | Maekawa, Yasunori Browse this author |
| Keywords: | Navier-Stokes equations | | two-dimensional exterior flows | | scale-criticality | | stability of stationary flows | | flow around a rotating obstacle |
| Issue Date: | 27-Aug-2015 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1075 |
| Start Page: | 1 |
| End Page: | 75 |
| Abstract: | We study the stability of some exact stationary solutions to the two-dimensional Navier-Stokes equations in an exterior domain to the unit disk. These stationary solutions are known as a simple model of the flow around a rotating obstacle, while their stability has been open due to the difficulty arising from their spatial decay in a scale-critical order. In this paper we affirmatively settle this problem for small solutions. That is, we will show that if these exact solutions are small enough then they are asymptotically stable with respect to small L2 perturbations. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69879 |
| 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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