论文标题
在粗糙边界上的高阶边界层和stokes系统的规律性
Higher-order boundary layers and regularity for Stokes systems over rough boundaries
论文作者
论文摘要
在本文中，我们研究了Stokes系统的大规模边界规律性，以定期振荡John域。我们的主要贡献是建造任意顺序的边界层校正器。这是对已知结果的重大概括，仅限于第一和第二阶。作为应用程序，我们证明了对Stokes系统的任意秩序的大规模规律性估计以及Liouville定理。我们的结果还与粗糙边界上粘性流体中的高阶边界层尾巴和壁法有关。
In this paper, we study the large-scale boundary regularity for the Stokes system in periodically oscillating John domains. Our main contribution is the construction of boundary layer correctors of arbitrary order. This is a significant generalization of the known results restricted to the first and second orders. As an application, we prove the large-scale regularity estimate, as well as a Liouville theorem, of arbitrary order for the Stokes system. Our results are also related to higher-order boundary layer tails and wall laws in viscous fluids over rough boundaries.
