Stationary solutions of the two-dimensional Navier-Stokes exterior problem

開催日時
2015/06/26 金 16:45 - 17:45
場所
3号館251号室
講演者
山崎 昌男
講演者所属
早稲田大学理工学術院
概要

We are concerned with the stationary solutions vanishing at infinity of the boundary value problem of the Navier-Stokes equations with nonzero external forces and boundary data. We first show the existence under assumptions more general than in the previous works, and show that the weak solutions satisfy the energy inequality for nonzero boundary data. Then we show that, if there exists a small nontrivial solution with sufficient decay, then every weak solution satisfying the energy inequality must coincide with the aforementioned solution with sufficient decay. Finally we show that the solution with sufficient decay do exist under a new symmetry condition on the external force and boundary data.