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Book Sections Year : 2015

Weak compactness techniques and coagulation equations

Abstract

Smoluchowski's coagulation equation is a mean-field model describing the growth of clusters by successive mergers. Since its derivation in 1916 it has been studied by several authors, using deterministic and stochastic approaches, with a blossoming of results in the last twenty years. In particular, the use of weak $L^1$-compactness techniques led to a mature theory of weak solutions and the purpose of these notes is to describe the results obtained so far in that direction, as well as the mathematical tools used.
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Dates and versions

hal-01692174 , version 1 (24-01-2018)

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Philippe Laurençot. Weak compactness techniques and coagulation equations. Evolutionary Equations with Applications in Natural Sciences, 2126, Springer pp.199--253, 2015, Lecture Notes in Mathematics, 978-3-319-11321-0199. ⟨10.1007/978-3-319-11322-7_5⟩. ⟨hal-01692174⟩
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