In this paper we prove the asymptotic stability of small global solutions in the weak L2 space for the two-dimensional Navier-Stokes equations under a natural functional setting for the class of perturbations. Our result is a global one, that is, we do not impose any smallness on the perturbations.
- Navier-Stokes equations, large-time asymptotics, two-dimensional exterior domains, scale critical space, weak L space
ASJC Scopus subject areas
- Applied Mathematics
- Numerical Analysis