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Uniqueness of fat-tailed self-similar profiles to Smoluchowski’s coagulation equation for a perturbation of the constant kernel
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Uniqueness of fat-tailed self-similar profiles to Smoluchowski’s coagulation equation for a perturbation of the constant kernel
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eBook
Uniqueness of fat-tailed self-similar profiles to Smoluchowski’s coagulation equation for a perturbation of the constant kernel
2021
Overview
This article is concerned with the question of uniqueness of self-similar profiles for Smoluchowski’s coagulation equation which
exhibit algebraic decay (fat tails) at infinity. More precisely, we consider a rate kernel
Establishing uniqueness of self-similar
profiles for Smoluchowski’s coagulation equation is generally considered to be a difficult problem which is still essentially open.
Concerning fat-tailed self-similar profiles this article actually gives the first uniqueness statement for a non-solvable kernel.
Publisher
American Mathematical Society
Subject
ISBN
147044786X, 9781470447861
