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

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.

40 pages, final version

References in corpus (1)

• Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane

Cited by in corpus (3)

• Tensor product decompositions of II${}_1$ factors arising from extensions of amalgamated free product groups
• No-slip boundary condition for vorticity equation in 2D exterior domains
• Liouville theorems for the Stokes equations with applications to large time estimates