Asymptotic Behavior of Solutions of the Stationary Navier-Stokes Equations in an Exterior Domain

作者:Lin Ching Lung*; Uhlmann Gunther; Wang Jenn Nan
来源:Indiana University Mathematics Journal, 2011, 60(6): 2093-2106.
DOI:10.1512/iumj.2011.60.4490

摘要

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 R-n with n >= 2. We will show that under some assumptions, any nontrivial velocity field obeys a minimal decaying rate exp(-Ct(2) log t) at infinity. Our proof is based on appropriate Carleman estimates.

  • 出版日期2011