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

Pu Zhao Kow, Ching Lung Lin

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 3279-3309 31 Journal of Differential Equations 266 6 https://doi.org/10.1016/j.jde.2018.09.002 Published - 2019 三月 5

• 分析
• 應用數學