Special Session 26: 

Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data

ken abe
Osaka City University
Japan
Co-Author(s):    
Abstract:
We consider the two-dimensional Navies-Stokes equations in an exterior domain, subject to the Dirichlet boundary condition. We report some global well-posedness result for bounded initial data with a finite Dirichlet integral, and unique existence of asymptotically constant solutions for large Reynolds numbers.