Gradient estimates for the non-stationary Stokes system with the Navier boundary condition
作者：Hui Chen, Liang Su, Tai‐Peng Tsai · 发表于：Communications on Pure & Applied Analysis · 年份：2023 · DOI：10.3934/cpaa.2023120 · 被引用次数：6 · 研究领域：Navier-Stokes equation solutions、Advanced Mathematical Modeling in Engineering、Rheology and Fluid Dynamics Studies
For the non-stationary Stokes system, it is well-known that one can improve spatial regularity in the interior, but not near the boundary if it is coupled with the no-slip boundary condition. In this note we show that, to the contrary, spatial regularity can be improved near a flat boundary if it is coupled with the Navier boundary condition, with either infinite or finite slip length. The case with finite slip length is more difficult than the case with infinite slip length.