Gravitational instability of expanding shells: Solution with nonlinear terms
arXiv:astro-ph/0106010 · doi:10.1051/0004-6361:20010768
Abstract
A model of the thin shell expanding into a uniform ambient medium is developed. Density perturbations are described using equations with linear and quadratic terms, and the linear and the nonlinear solutions are compared. We follow the time evolution of the fragmentation process and separate the well defined fragments. Their mass spectrum is compared to observations and we also estimate their formation time.
10 pages, 16 figures, accepted by A&A