  Fluid deformable surfaces show a solid-fluid duality which establishes a
tight interplay between tangential flow and surface deformation. We derive the
governing equations as a thin film limit and provide a general numerical
approach for their solution. The simulation results demonstrate the rich
dynamics resulting from this interplay, where in the presence of curvature any
shape change is accompanied by a tangential flow and, vice versa, the surface
deforms due to tangential flow. However, they also show that the only possible
stable stationary state in the considered setting is a sphere with zero
velocity.
