Title: Partial Differential Equations and Applied Mathematics Seminar (2016.03.15)

Author: CMAC

Date: 2016-03-14 (16:24)

Date/Time: March 15th, Tue., 5:00 ~ 6:00 PM

Location: Science Building #225 Yonsei University

Speaker: Prof. Ken Abe

Affiliation: Kyoto University, Japan

Title: Global well-posedness of the axisymmetric Navier-Stokes equations in the exterior of an infinite cylinder

Abstract:

We consider the initial-boundary value problem of the Navier-Stokes equations for axisymmetric initial data with swirl in the exterior of an infinite cylinder, subject to the slip boundary condition. We construct global solutions and estimate potential singularities of axisymmetric flows in the whole space by using the size of the cylinder. The proof is based on the Boussinesq system. We show that the system is globally well-posed in the exterior domain for axisymmetric initial data without swirl.