On decay rate of solutions for the stationary Navier–Stokes equation in an exterior domain

Pu Zhao Kow, Ching Lung Lin

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

In this paper, we consider the asymptotic behavior of an incompressible fluid around a bounded obstacle. By adapting the Schauder's estimate for stationary Navier–Stokes equation to improve the regularity, the problem is solved by using appropriate Carleman estimates. It should be noted that the minimal decaying rate for a general scalar equation is exp⁡(−C|x|2+). However, the structure of the Navier–Stokes is special. Under the assumption for any nontrivial solution to be uniform bounded which is weaker than those in [10], we got the minimal decaying rate is exp⁡(−C|x|[Formula presented]+) which is better than the results in general scalar cases.

原文English
頁(從 - 到)3279-3309
頁數31
期刊Journal of Differential Equations
266
發行號6
DOIs
出版狀態Published - 2019 三月 5

All Science Journal Classification (ASJC) codes

  • 分析
  • 應用數學

指紋

深入研究「On decay rate of solutions for the stationary Navier–Stokes equation in an exterior domain」主題。共同形成了獨特的指紋。

引用此