  The dynamics of a thin elastic sheet lubricated by a narrow layer of liquid
is relevant to various situations and length scales. In the continuity of our
previous work on viscous wakes, we study theoretically the effects of an
external pressure disturbance moving at constant speed along the surface of a
thin lubricated elastic sheet. In the comoving frame, the imposed pressure
field creates a stationary deformation of the free interface that spatially
vanishes in the far-field region. The shape of the wake and the way it decays
depend on the speed and size of the external disturbance, as well as the
rheological properties of both the elastic and liquid layers. The wave
resistance, namely the force that has to be externally furnished in order to
maintain the wake, is analyzed in detail.
