| 概要 | We consider the 3D incompressible Navier-Stokes flows in an exterior domain with small boundary data which do not necessarily decay in time. We prove that the spatial asymptotics of a time periodic flow is given by a Landau solution. We next show that if the boundary datum is time-periodic and the initial datum is asymptotically homogeneous with order -1, the solution converges to the sum of a time-periodic vector field and a forward self-similar vector field as time goes to infinity. This is joint work with Kyungkuen Kang and Tai-Peng Tsai. |