Local properties of self-similar solutions to Smoluchowski's coagulation equation with sum kernels

被引：22

作者：

Fournier, N

Laurençot, P

机构：

[1] Univ Nancy 1, Inst Elie Cartan Nancy, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Toulouse 3, CNRS, UMR 5640, F-31062 Toulouse 9, France

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2006年 / 136卷

关键词：

D O I：

10.1017/S0308210500005035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The regularity of the scaling profiles psi to Smoluchowski's coagulation equation is studied when the coagulation kernel K is given by K(x, y) = x(lambda) + y(lambda) with lambda epsilon (0, 1). More preciselly, psi is C-1-smooth on (0, infinity) and decays exponentially fast for large x. Furthermore, the singular behaviour of as psi(x) as x -> 0 is identified, thus giving a rigorous proof of phlysical conjectures.

引用

页码：485 / 508

页数：24

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