The Navier-Stokes Equations with the Kinematic and Vorticity Boundary Conditions on Non-Flat Boundaries

Gui-Qiang Chen, Dan Osborne, Zhongmin Qian

We study the initial-boundary value problem of the Navier-Stokes equations for incompressible fluids in a general domain in ${\mathbb{R}}^n$ with compact and smooth boundary, subject to the…