Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion

被引：29
作者：
Amann, H
Walker, C
机构：
[1] Univ Zurich, Math Inst, CH-8057 Zurich, Switzerland
[2] Vanderbilt Univ, Dept Math, Stevenson Ctr 1326, Nashville, TN 37240 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年 / 218卷 / 01期
关键词：
coagulation; fragmentation; volume scattering; diffusion; semigroup theory;
D O I：
10.1016/j.jde.2004.09.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the diffusive continuous coagulation-fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：159 / 186
页数：28
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