Long-Time Behaviour and Self-Similarity in a Coagulation Equation with Input of Monomers

F. P. da Costa; H. J. van Roessel; J. A. D. Wattis

paper

Long-Time Behaviour and Self-Similarity in a Coagulation Equation with Input of Monomers

arXiv:nlin/0402037

Abstract

For a coagulation equation with Becker-Doring type interactions and time-independent monomer input we study the detailed long-time behaviour of nonnegative solutions and prove the convergence to a self-similar function.

30 pages, 5 Figures, now published in Markov Processes and Related Fields 12, 367-398, (2006)