Physics at its best brings the world together. Its power is that a single simple framework can describe wildly different systems. But even the greatest descriptive equations reach their limits ...

Abstract: We consider the controllability problem for the continuity equation, corresponding to neural ordinary differential equations (ODEs), which describes how a probability measure is ...

From the University of Colorado Health Sciences Center, The Children’s Hospital, Denver, Colo. Background—Flow-rate dependencies of the Doppler continuity equation are addressed in this study. Methods ...