Harvard WAM Seminars
The implosion that disconnects a submerged air bubble into several bubbles provides a simple example of energy focusing. The most efficient disconnection is an entirely cylindrically-symmetric one terminating in a finite-time singularity. At the final moment, the potential energy at the start of the disconnection is entirely condensed into the kinetic energy of a vanishingly small amount of liquid rushing inwards to disconnect the bubble. In reality, however, the initial shape always possesses slight imperfections. We show via theory, numerics and experiments that a detailed memory of the imperfection remains and often controls the final fate of the focusing.
Harvard School of Engineering and Applied Sciences