微分方程式セミナー


2017/6/2(Fri)

16:30--18:00 数学教室 大セミナー室(E301)

阿部 健

大阪市立大学理学研究科

Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data

We consider the two-dinsosional Navies-Stokes equations in an exterior domain, subject to the Dirichlet boundary condition. Stationary solutions of this problem and their asymptotic behavior have been studied in a large literature, while a few results are known about the non-stationary problem for non-decaying initial data. We report some global well-posedness result for bounded initial data with a finite Dirichlet integral, and unique existence of asymptotically constant solutions for arbitrary large Reynolds numbers.