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
收藏
页码：2049 / 2061
页数：13
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