5 research outputs found
Analytic regularity for the incompressible Navier-Stokes equations in polygons
In a plane polygon with straight sides, we prove analytic regularity of
the Leray-Hopf solution of the stationary, viscous, and incompressible
Navier-Stokes equations. We assume small data, analytic volume force and
no-slip boundary conditions. Analytic regularity is quantified in so-called
countably normed, corner-weighted spaces with homogeneous norms. Implications
of this analytic regularity include exponential smallness of Kolmogorov
-widths of solutions, exponential convergence rates of mixed
-discontinuous Galerkin finite element and spectral element discretizations
and of model order reduction techniques