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On the Oort--Hulst--Safronov Coagulation Equation and Its Relation to the Smoluchowski Equation

Miroslaw Lachowicz, Philippe Laurençot, Dariusz Wrzosek

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Source: Crossref

Published: Jan 1, 2003

DOI: 10.1137/s0036141002414470

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Source abstract

A connection is established between the classical Smoluchowski continuous coagulation equation and the Oort--Hulst--Safronov coagulation equation via generalized coagulation equations. Existence of solutions to the Oort--Hulst--Safronov coagulation equation is shown, and the large time behavior and the occurrence of gelation are studied as well. It is also shown that a compactly supported initial distribution propagates with finite speed.

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