Solutions and critical times for the monodisperse coagulation equation when aij=A + B(i + j) + Cij
- 11 March 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (4) , 767-773
- https://doi.org/10.1088/0305-4470/16/4/014
Abstract
The author shows that if aij=A+B(i+j)+Cij, the solutions of Smoluchowski's coagulation equation (monodisperse case) can be expressed as equilibrium distributions conditioned on a deterministically changing (and known) parameter. A partial converse is also given. Because the equilibrium distributions are already known, this effectively solves the equation for the given aij. If C not=0, then there is a finite critical time t=tc when the moments cease to converge. The author finds tc for all the given aij.Keywords
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