2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101658We construct a model of non-uniform condensate having a spatially modulated complex order parameter that makes it kinematically an x-ray solid, i.e., a real mass density wave, but one admitting an associated superfluid flow. Intrinsic to this state is a non-classical translational inertia which we derive for the case of a potential flow. Connection to the non-classical rotational inertia observed in recent experiments on solid helium-4 is discussed. Our semi-phenomenological treatment suggests a flow-induced supersolid-to-superdfluid transition.12 pages, 0 figuresStatistical MechanicsSupersolid and the non-uniform condensatetext