A Nitsche-based finite element scheme for the time-dependent Navier-Stokes equations is proven to converge to weak solutions for a broad class of nonlinear, nonmonotone, and dynamic slip boundary conditions.
Monotone operators in divergence form with x- dependent multivalued graphs
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A Nitsche method for incompressible fluids with general dynamic boundary conditions
A Nitsche-based finite element scheme for the time-dependent Navier-Stokes equations is proven to converge to weak solutions for a broad class of nonlinear, nonmonotone, and dynamic slip boundary conditions.