title: Mathematical analysis of recent analytical approximations to the collapse of an empty spherical bubble.
abstract: We analyze the Rayleigh equation for the collapse of an empty bubble and provide an explanation for some recent analytical approximations to the model. We derive the form of the singularity at the second boundary point and discuss the convergence of the approximants. We also give a rigorous proof of the asymptotic behavior of the coefficients of the power series that are the basis for the approximate expressions.
authors: Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico. paolo.amore@gmail.com
authors: Paolo
authors: P
authors: Amore
authors: Francisco M
authors: FM
authors: Fernández