Contractivity for Smoluchowski's coagulation equation with solvable kernels

被引：0

作者：

Canizo, Jose A. ^{[1
]}

Lods, Bertrand ^{[2
,3
]}

Throm, Sebastian ^{[1
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, Ave Fuentenueva S-N, Granada 18071, Spain

[2] Univ Torino, Dept ESOMAS, Corso Unione Sovietica 218 Bis, I-10134 Turin, Italy

[3] Coll Carlo Alberto, Corso Unione Sovietica 218 Bis, I-10134 Turin, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2021年 / 53卷 / 01期

关键词：

35Q70; 35Q82; 35R09; 82C05 (primary); SELF-SIMILARITY; CONVERGENCE; GELATION;

D O I：

10.1112/blms.12417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Smoluchowski coagulation equation with the solvable kernelsK(x,y)equal to 2,x+yorxyis contractive in suitable Laplace norms. In particular, this proves exponential convergence to a self-similar profile in these norms. These results are parallel to similar properties of Maxwell models for Boltzmann-type equations, and extend already existing results on exponential convergence to self-similarity for Smoluchowski's coagulation equation.

引用

页码：248 / 258

页数：11

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