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

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

2006, v.12, №2, 367-398

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.

Keywords: coagulation equations,self-similar behaviour,centre manifolds,asymptotic evaluation of integrals

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