偏微分方程式セミナー: On asymptotic stability of physically reasonable flows in a two-dimensional exterior domain

開催日時

2019年12月6日 16時 30分 ～ 2019年12月6日 18時 00分

場所

北海道大学理学部3号館3-309室

講演者

前川 泰則 氏 (京都大学)

The flow past an obstacle is a fundamental object in fluid mechanics. In 1967 R. Finn and D. R. Smith proved the unique existence of stationary solutions, called the physically reasonable solutions, to the Navier-Stokes equations in a two-dimensional exterior domain modeling this type of flows when the Reynolds number is sufficiently small. In this talk we prove that the physically reasonable solutions constructed by Finn and Smith are asymptotically stable with respect to small and well localized initial perturbations.

世話人：黒田 紘敏、浜向 直