  In this work, we consider a continuous dynamical system associated with the
fixed point set of a nonexpansive operator which was originally studied by
Bo\c{t} & Csetnek (2015). Our main results establish convergence rates for the
system's trajectories when the nonexpansive operator satisfies an additional
regularity property. This setting is the natural continuous-time analogue to
discrete-time results obtained in Bauschke, Noll & Phan (2015) and Borwein, Li
& Tam (2017) by using the same regularity properties.
