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We investigate the evolution of fossil cavities produced by extinct YSO jetsand wide angle outflows. Fossil cavities are ellipsoidal or cylindrical shellsof swept-up of ambient (molecular cloud) material moving at low velocities. Thecavities form when the momentum in a YSO jet or wide angle outflow decays intime allowing the bowshock or swept-up shell to decelerate to velocities nearthe turbulent speed in the cloud. It has been suggested in previous studiesthat cavities provide efficient coupling between the jets/outflows and thecloud and, as such, are the agents by which cloud turbulence is can bere-energized. In this paper we carry forward a series of numerical simulationsof jets and outflows whose momentum flux decrease in time. We comparesimulations with decaying momentum fluxes to those with constant flux. We showthat decaying flux models exhibit deceleration of the outflow head andbackfilling via expansion off of the cavity walls. They also have lower densitycontrast, are longer lived and wider than their continuously drivencounterparts. The simulations recover the basic properties of observed fossilcavities. In addition, we provide synthetic observations in terms of P-Vdiagrams which demonstrate that fossil cavities form both jets and wide angleoutflows are characterized by linear "Hubble-law" expansions patternssuperimposed on "spur" patterns indicative of the head of a bow shock.Comment: 23 pages, 11 figures, accepted to ApJ. Paper revised to include  resuts of higher resolution simulation

Outflow‐driven Cavities: Numerical Simulations of Intermediaries of Protostellar Turbulence