最終更新日： 2010年6月8日
| 日時： | 6 月 25 日（金） 15:00 〜 |
| 場所： | 愛媛大学理学部数学棟２階 大演習室 |
| 講師： | 隠居 良行 氏（九州大学・数理学研究院） |
| 題目： | Asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow |
| 要旨： | We consider a system of equations for a barotropic motion of viscous compressible fluid in an infinite layer of Rn. Under some situations the system has stationary solutions of parallel flows such as the plane Couette flow and Poiseuille type flow. We study the asymptotic behavior of solutions of the system around the stationary flows and show that the stationary flows are asymptotically stable for initial disturbances sufficiently small in some L2 Sobolev spaces if the Reynolds and Mach numbers are sufficiently small. Furthermore, it is shown that the disturbances exhibit a diffusive decay in L2 norm as time goes to infinity. |