On the Oort-Hulst-Safronov coagulation equation and its relation to the Smoluchowski equation

被引：27

作者：

Lachowicz, M

Laurençot, P

Wrzosek, D

机构：

[1] Warsaw Univ, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

[2] Univ Toulouse 3, CNRS, UMR 5640, F-31062 Toulouse 4, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2003年 / 34卷 / 06期

关键词：

coagulation; Smoluchowski equation; Oort-Hulst-Safronov equation; existence gelation; finite speed of propagation;

D O I：

10.1137/S0036141002414470

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1399 / 1421

页数：23

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