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Uniqueness of Mass-Conserving Self-similar Solutions to Smoluchowski’s Coagulation Equation with Inverse Power Law Kernels

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Abstract

Uniqueness of mass-conserving self-similar solutions to Smoluchowski’s coagulation equation is shown when the coagulation kernel K is given by \(K(x,x_*)=2(x x_*)^{-\alpha }\), \((x,x_*)\in (0,\infty )^2\), for some \(\alpha >0\).

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  1. Institut de Mathématiques de Toulouse, UMR 5219, Université de Toulouse, CNRS, 31062, Toulouse Cedex 9, France

    Philippe Laurençot

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  1. Philippe Laurençot
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Laurençot, P. Uniqueness of Mass-Conserving Self-similar Solutions to Smoluchowski’s Coagulation Equation with Inverse Power Law Kernels. J Stat Phys 171, 484–492 (2018). https://doi.org/10.1007/s10955-018-2018-9

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  • DOI: https://doi.org/10.1007/s10955-018-2018-9

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