  Singular solutions of the Stokes equations play important roles in a variety
of fluid dynamics problems. They allow the calculation of exact flows, are the
basis of the boundary integral methods used in numerical computations, and can
be exploited to derive asymptotic flows in a wide range of physical problems.
The most fundamental singular solution is the flow's Green function due to a
point force, termed the Stokeslet. Its expression is classical both in free
space and near a flat surface. Motivated by problems in biological physics
occurring near corners, we derive in this paper the asymptotic behaviour for
the Stokeslet both near and far from a corner geometry by using complex
analysis on a known double integral solution for corner flows. We investigate
all possible orientations of the point force relative to the corner and all
corner geometries from acute to obtuse. The case of salient corners is also
addressed for point forces aligned with both walls. We use experiments on beads
sedimenting in corn syrup to qualitatively test the applicability of our
results. The final results and scaling laws will allow to address the role of
hydrodynamic interactions in problems from colloidal science to microfluidics
and biological physics.
