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arXiv · 0911.1230

On the Fundamental Solution of a Homogeneous Linearized Coagulation Equation

M. Escobedo·J. J. L. Velazquez
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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 $(x y)^{λ/2}$ with $λ\in (1, 2)$ around the steady state $f(x)=x^{-(3+λ)/2}$. 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.

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M. Escobedo, J. J. L. Velazquez. 2009-11-06. On the Fundamental Solution of a Homogeneous Linearized Coagulation Equation. https://arxiv.org/abs/0911.1230

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