タイトル | Asymptotic behavior of the linearized semigroup at space-periodic stationary solution of the compressible Navier-Stokes equation |
本文(外部サイト) | https://catalog.lib.kyushu-u.ac.jp/opac_download_md/1655024/MI2016-3.pdf |
参考URL | http://hdl.handle.net/2324/1655024 |
著者(英) | Enomoto, Shota; Kagei, Yoshiyuki |
発行日 | 2016-05-13 |
発行機関など | Faculty of Mathematics, Kyushu University |
刊行物名 | MI Preprint Series |
巻 | 2016-3 |
刊行年月日 | 2016-04-14 |
言語 | eng |
内容記述 | The asymptotic behavior of the linearized semigroup at spatially periodic stationary solution of the compressible Navier-Stokes equation in a periodic layer of R^n (n = 2; 3) is investigated. It is shown that if the Reynolds and Mach numbers are sufficiently small, then the linearized semigroup is decomposed into two parts; one behaves like a solution of an n - 1 dimensional linear heat equation as time goes to infinity and the other one decays exponentially. |
キーワード | Compressible Navier-Stokes equation; space-periodic stationary solution; linearized semigroup; spectrum |
資料種別 | Preprint |
著者版フラグ | author |