Special Session 81: Analytic and numerical progress in complex fluids and related PDE models
The local regularity theory for the Stokes and Navier-Stokes equations near the curved boundary
Hui Chen
Zhejiang University of Science and Technology Peoples Rep of China
Co-Author(s): Hui Chen, Su Liang, Tai-Peng Tsai
Abstract:
In this talk, we study local regularity of the solutions to the Stokes equations near the curved boundary under no-slip and slip boundary conditions. As an application, we propose a new definition of boundary regular points for the incompressible Navier-Stokes equations that guarantees higher spatial regularity.