Acoustic resonance in spherically symmetric waves

Abstract

Resonant oscillations, produced in a gas contained in a vibrating spherical shell, are investigated. The problem is nonlinear, but the approach is different from that used in the analogous problem for plane waves, and the results differ in three major ways: (i) the amplitude of the oscillations is of a larger order of magnitude; (ii) the solutions are not unique; (iii) shock waves do not feature in the solution.