论文标题
具有三维不可压缩流体的Navier边界条件的阻尼Navier-Stokes方程的解决方案的存在和独特性
Existence and uniqueness of solutions to the damped Navier-Stokes equations with Navier boundary conditions for three dimensional incompressible fluid
论文作者
论文摘要
在本文中，我们研究了阻尼的Navier的解决方案 - 在$ \ Mathbb {r}^3 $中，带有navier边界条件的Stokes方程，具有光滑的边界。该解决方案的存在是全局的，带有阻尼项$ \ vartheta | u |^{β-1} u，\ vartheta> 0。这扩展了现有的文献结果。
In this article, we study the solutions of the damped Navier--Stokes equation with Navier boundary condition in a bounded domain $Ω$ in $\mathbb{R}^3$ with smooth boundary. The existence of the solutions is global with the damped term $\vartheta |u|^{β-1}u, \vartheta >0.$ The regularity and uniqueness of solutions with Navier boundary condition is also studied. This extends the existing results in literature.
