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

Nonlinear Sciences – Adaptation and Self-Organizing Systems

Scientific paper

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

Scientific paper

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.

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