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

Ching Lung Lin, Gunther Uhlmann, Jenn Nan Wang

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

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 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.

原文English
頁(從 - 到)2093-2106
頁數14
期刊Indiana University Mathematics Journal
60
發行號6
DOIs
出版狀態Published - 2011 十二月 1

All Science Journal Classification (ASJC) codes

  • 數學(全部)

指紋

深入研究「Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain」主題。共同形成了獨特的指紋。

引用此