Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data (1608.06424v2)

Abstract: We prove global well-posedness of the two-dimensional exterior Navier-Stokes equations for bounded initial data with a finite Dirichlet integral, subject to the non-slip boundary condition. As an application, we construct global solutions for asymptotically constant initial data and arbitrary large Reynolds numbers.