Nonlinear effects in time-dependent transonic flows: An analysis of analog black hole stability
Nonlinear effects in time-dependent transonic flows: An analysis of analog black hole stability
We study solutions of the one-dimensional Gross-Pitaevskii equation to better understand dynamical instabilities occurring in flowing atomic condensates. Whereas transonic stationary flows can be fully described in simple terms, time-dependent flows exhibit a wide variety of behaviors. When the sound speed is crossed once, we observe that flows analogous to …