University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Self-similar solutions with fat tails for Smoluchowski's coagulation equation

Self-similar solutions with fat tails for Smoluchowski's coagulation equation

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Smoluchowski’s coagulation equations are a mean-field model that describe coagulation of homogeneously distributed particles. A fundamental question is the one of dynamic scaling, that is whether solutions converge to a uniquely determined self-similar profile. However, only for the solvable kernels this issue is well understood, while for non-solvable kernels even the existence of self-similar solutions is difficult to prove. We will give a review about the results that have been established for non-solvable kernels and present some new results on the existence of fat-tail solutions for a class of such kernels.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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