Gelation in coagulation and fragmentation models

被引：92

作者：

Escobedo, M

Mischler, S

Perthame, B

机构：

[1] Univ Basque Country, Dept Matemat, E-48080 Bilbao, Spain

[2] Univ Versailles, Lab Math Appl, F-78035 Versailles, France

[3] Ecole Normale Super, UNM 8553, DMA, F-75230 Paris 05, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2002年 / 231卷 / 01期

关键词：

D O I：

10.1007/s00220-002-0680-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Rates of decay for the total mass of the solutions to Smoluchovski's equation with homogeneous kernels of degree; > are proved. That implies that gelation always occurs. Morrey estimates from below and from above on solutions around the gelation time are also obtained which are in agreement with previously known formal results on the profile of solutions at gelling time. The same techniques are applied to the coagulation-fragmentation model for which gelation is established in some particular cases.

引用

页码：157 / 188

页数：32

共 44 条

[1] CONVERGENCE TO EQUILIBRIUM IN A SYSTEM OF REACTING POLYMERS [J].