  Various models for interacting spherical bubbles in a compressible liquid
based on delay differential equations are considered. It is shown that most
previously proposed models for interacting spherical bubbles in a compressible
liquid based on the Keller-Miksis and Gilmore-Akulichev models are unstable for
closely spaced bubbles. A new model for a single spherical bubble in a
compressible liquid is proposed and used to derive a stable model for
interacting bubbles. A qualitative comparison to the results of direct
numerical integration of the fluid equations of motion suggests that the new
model provides more accurate results than the standard Keller-Miksis or
Gilmore-Akulichev models for single bubble dynamics.
