Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
Journal
Indiana University Mathematics Journal
Journal Volume
60
Journal Issue
6
Pages
2093-2106
Date Issued
2011
Author(s)
Abstract
In this paper we are interested in the asymptotic behavior of an incompressible fluid around a bounded obstacle. The problem is described by the stationary Navier-Stokes equations in an exterior domain in ℝn with n ≥ 2. We will show that under some assumptions, any nontrivial velocity field obeys a minimal decaying rate exp(-Ct2 log t) at infinity. Our proof is based on appropriate Carleman estimates.
Type
journal article