  Cavitation and bubble dynamics are central concepts in engineering, the
natural sciences, and the mathematics of fluid mechanics. Due to the nonlinear
nature of their dynamics, the governing equations are not fully solvable. Here,
the dynamics of a spherical bubble in an N-dimensional fluid are discussed in
the hope that examining bubble behavior in N dimensions will add insight to
their behavior in three dimensions. Several canonical results in bubble
dynamics are re-derived, including the Rayleigh collapse time, the
Rayleigh-Plesset equation, and the Minnaert frequency. Numerical simulations
are used to examine the onset of nonlinear behavior. Overall, the dynamics of
bubbles are faster at higher dimensions, with nonlinear behavior occurring at
lower amplitudes. Several features are found to be unique to three dimensions,
including the trend of nonlinear behaviour and apparent coincidences in
timescales.
