Bubbles

Vanitas vanitatum et omnia vanitas: bubbles are emptiness, non-liquid, a tiny cloud shielding a mathematical singularity. Born from chance, a violent and brief life ending in the union with the (nearly) infinite. But a wealth of phenomena spring forth from this nothingness: underwater noise, sonoluminescence, boiling, and many others. Some recent results on a “blinking bubble” micropump and vapor bubbles in sound fields are outlined. The last section describes Leonardo da Vinci’s observation of the non-rectlinear ascent of buoyant bubbles and justifies the name Leonardo’s paradox recently attributed to this phenomenon.