论文标题
半空间外部Navier-Stokes方程的稳定平面溶液的渐近特性
Asymptotic properties of steady plane solutions of the Navier-Stokes equations in the exterior of a half-space
论文作者
论文摘要
受到吉尔巴格·温伯格（Gilbarg-Weinberger）在无限范围内稳定平面解决方案的稳定平面解决方案的渐近特性的早期工作的促进$ \ sqrt {\ log r} $，而压力沿每个射线沿着原点收敛到$ 0 $。
Motivated by Gilbarg-Weinberger's early work on asymptotic properties of steady plane solutions of the Navier-Stokes equations on a neighborhood of infinity \cite{GW1978} , we investigate asymptotic properties of steady plane solutions of this system on a half-neighborhood of infinity with finite Dirichlet integral and Navier-slip boundary condition, and obtain that the velocity of the solution grows more slowly than $\sqrt{\log r}$, while the pressure converges to $0$ along each ray passing through the origin.
