Physics – Mathematical Physics
Scientific paper
2009-11-06
Physics
Mathematical Physics
56 pages
Scientific paper
In this paper we study the fundamental solution of the equation obtained by the linearisation of the Smoluchowski coagulation equation with the multiplicative kernel $(x y)^{\lambda/2}$ 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.
Escobedo Miguel
Velazquez Juan J. L.
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