Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
Ching-Lung LinGunther UhlmannJenn-Nan Wang
35Q30Navier Stokesexterior domainasymptotic behavior
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 $\mathbb{R}^n$ 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.
Indiana University Mathematics Journal
2011
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10.1512/iumj.2011.60.4490
10.1512/iumj.2011.60.4490
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Indiana Univ. Math. J. 60 (2011) 2093 - 2106
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