Colloquium (2018)

Speaker Toshiaki Hishida (Nagoya University)
Title Asymptotic structure of the steady Navier-Stokes flow in the exterior of a moving obstacle in 2D
Date JUNE 6 (Wed.) 2018, 16:30~17:30
Place Dept. of Mathematics, Faculty of Science Bldg., E408
Abstract Analysis of the steady Navier-Stokes flow in 2D exterior domains is much harder than 3D case and the issue is always the asymptotic behevior of solutions at spatial infinity. The most difficult feature particularly in the case where the obstacle (rigid body) is at rest is the Stokes paradox, which prevents us from the linearization method. In this talk I would like to clarify why the motion (translation/rotation) of the obstacle leads to resolution of the Stokes paradox and how it affects the structure of the flow. Those are interpreted in terms of the asymptotic representation of the flow at infinity which exhibits the leading profile together with its coefficient.
Last Modified on 2018.5.21