Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

Details Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain

2010-08-24

arxiv.org/abs/1008.3953v1

Mathematics

Analysis of PDEs

16 pages

Scientific paper

We study the asymptotic behavior of an incompressible fluid around a bounded obstacle. The problem is modeled by the stationary Navier-Stokes equations in an exterior domain in $\R^n$ with $n\ge 2$. 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.

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