  Casimir-Lifshitz interaction emerging from relative movement of layers in
stratified dielectric media (e.g., non-uniformly moving fluids) is considered.
It is shown that such movement may result in a repulsive Casimir-Lifshitz force
exerted on the layers, with the simplest possible structure consisting of three
adjacent layers of the same dielectric medium, where the middle one is
stationary and the other two are sliding along a direction parallel to the
interfaces of the layers.
