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Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity : a numerical study
| Title: | Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity : a numerical study |
| Authors: | Ohkitani, Koji Browse this author | | Sakajo, Takashi Browse this author |
| Issue Date: | Dec-2010 |
| Publisher: | IOP Publishing |
| Journal Title: | Nonlinearity |
| Volume: | 23 |
| Issue: | 12 |
| Start Page: | 3029 |
| End Page: | 3051 |
| Publisher DOI: | 10.1088/0951-7715/23/12/003 |
| Abstract: | We study numerically the long-time evolution of the surface quasi-geostrophic equation with generalized viscosity of the form (-Δ)α, where global regularity has been proved mathematically for the subcritical parameter range α ≥ 1/2. Even in the supercritical range, we have found numerically that smooth evolution persists, but with a very slow and oscillatory damping in the long run. A subtle balance between nonlinear and dissipative terms is observed therein. Notably, qualitative behaviours of the analytic properties of the solution do not change in the super and subcritical ranges, suggesting the current theoretical boundary α = 1/2 is of technical nature. |
| Rights: | This is an author-created, un-copyedited version of an article accepted for publication in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at 10.1088/0951-7715/23/12/003 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/44437 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂上 貴之
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