On the Fundamental Solution of a Homogeneous Linearized Coagulation Equation

Abstract

In this paper we study the fundamental solution of the equation obtained by the linearisation of the Smoluchowski coagulation equation with the multiplicative kernel $(xy{)}^{\lambda /2}$ with $\lambda \in (1,2)$ around the steady state $f(x)=x^{-(3+\lambda )/2}$. An explicit representation formula as well as detailed estimates on its asymptotics are obtained. We also describe in a detailed form particle fluxes between different sizes for this linearised equation.

56 pages

Cited by in corpus (1)

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