偏微分方程式セミナー(2016/10/21): Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data, 阿部 健 氏 (京都大学)

開催日時
2016年   10月 21日 16時 30分 ~ 2016年   10月 21日 17時 30分
場所
北海道大学理学部3号館3-309室
講演者
阿部 健 氏 (京都大学)
 

We consider the two-dimensional Navier-Stokes equations in an exterior domain, subject to the non-slip boundary condition. It is well known that there exist various non-trivial stationary solutions, which are asymptotically constant and with a finite Dirichlet integral. On the other hand, even local solvability was unknown for the non-stationary problem for such non-decaying initial data. In this talk, we report some global well-posedness result for bounded initial data with a finite Dirichlet integral, and existence of asymptotically constant solutions for arbitrary large Reynolds numbers.



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研究集会・セミナー・集中講義の一覧へ