  We study existence, asymptotics, and stability of spiral waves in a driven
curvature approximation, supplemented with an anchoring condition on a circle
of finite radius. We analyze the motion of curves written as graphs in polar
coordinates, finding spiral waves as rigidly rotating shapes. The existence
analysis reduces to a planar ODE and asymptotics are given through center
manifold expansions. In the limit of a large core, we find rotation frequencies
and corrections starting form a problem without curvature corrections. Finally,
we demonstrate orbital stability of spiral waves by exploiting a comparison
principle inherent to curvature driven flow. \end{abstract}
