, Volume 297, Issue 3, pp 759-816
Date: 08 May 2010

On the Fundamental Solution of a Linearized Homogeneous Coagulation Equation

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Abstract

We describe the fundamental solution of the equation that is obtained by linearization of the coagulation equation with kernel K(x, y) = (xy)λ/2, around the steady state f(x) = x −(3+λ)/2 with \({\lambda \in (1, 2)}\) . Detailed estimates on its asymptotics are obtained. Some consequences are deduced for the flux properties of the particles distributions described by such models.

Communicated by A. Kupiainen