Mass-conserving self-similar solutions to coagulation-fragmentation equations

被引：0

作者：

Laurencot, Philippe ^{[1
]}

机构：

[1] Univ Toulouse, CNRS, UMR 5219, Inst Math Toulouse, F-31062 Toulouse 9, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 44卷 / 09期

关键词：

Coagulation; fragmentation; mass conservation; self-similarity; GLOBAL EXISTENCE THEOREM; GELATION; CONSERVATION; UNIQUENESS; DISCRETE; BEHAVIOR; KINETICS; MODELS;

D O I：

10.1080/03605302.2019.1603238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of mass-conserving self-similar solutions with a sufficiently small total mass is proved for a specific class of homogeneous coagulation and fragmentation coefficients. The proof combines a dynamical approach to construct such solutions for a regularized coagulation-fragmentation equation in scaling variables and a compactness method.

引用

页码：773 / 800

页数：28

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