论文标题

$ l^p $ -strong解决方案用于带有Navier边界条件的固定外部Stokes方程

$L^p$-Strong solution for the stationary exterior Stokes equations with Navier boundary condition

论文作者

Dhifaoui, Anis

论文摘要

本文用$ \ mathbb {r}^3 $在Navier Slip Boundare条件的外部域中处理固定的Stokes问题。数据的无穷大和解决方案的行为是通过将问题设置在$ l^p $ - 空格中,以$ p> 2 $,具有权重来确定。主要结果是相应系统强溶液的存在和独特性。

This paper treats the stationary Stokes problem in exterior domain of $\mathbb{R}^3$ with Navier slip boundary condition. The behavior at infinity of the data and the solution are determined by setting the problem in $L^p$-spaces, for $p> 2$, with weights. The main results are the existence and uniqueness of strong solutions of the corresponding system.

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