<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain</dc:title>
<dc:creator>Ching-Lung Lin</dc:creator><dc:creator>Gunther Uhlmann</dc:creator><dc:creator>Jenn-Nan Wang</dc:creator>
<dc:subject>35Q30</dc:subject><dc:subject>Navier Stokes</dc:subject><dc:subject>exterior domain</dc:subject><dc:subject>asymptotic behavior</dc:subject>
<dc:description>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.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2011</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2011.60.4490</dc:identifier>
<dc:source>10.1512/iumj.2011.60.4490</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 60 (2011) 2093 - 2106</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>