Optimal Bounds for Self-Similar Solutions to Coagulation Equations with Product Kernel

被引：8

作者：

Niethammer, B. ^{[1
]}

Velazquez, J. J. L. ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England

[2] ICMAT CSIC UAM UC3M UCM, Madrid, Spain

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 36卷 / 12期

基金：

英国工程与自然科学研究理事会;

关键词：

Product kernel; Self-similar solutions; Smoluchowski's coagulation equations;

D O I：

10.1080/03605302.2011.563403

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider mass-conserving self-similar solutions of Smoluchowski's coagulation equation with product kernel of homogeneity 2 lambda is an element of (0, 1). We establish rigorously that such solutions exhibit a singular behavior of the form x(-(1+2 lambda)) as x -> 0. This property had been conjectured, but only weaker results had been available up to now.

引用

页码：2049 / 2061

页数：13

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