Liapunov Functionals for Smoluchowski’s Coagulation Equation and Convergence to Self-Similarity
Liapunov Functionals for Smoluchowski’s Coagulation Equation and Convergence to Self-Similarity
复制标题
Smoluchowski 凝固方程的李雅普诺夫泛函和自相似收敛性
DOI：
10.1007/s00605-005-0308-1
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
S. Mischler
中科院分区：
文献类型：
--
作者：
P. Laurençot;S. Mischler
翻译后摘要。提供了另一种证明的收敛到自相似配置文件的解决方案的Smoluchowski凝固方程与恒定凝固内核。与之前依赖于拉普拉斯变换的方法不同，动力系统方法用于以自相似变量写成的方程，并识别了几个Liapunov泛函。
Abstract.An alternative proof of the convergence to self-similar profiles for solutions to the Smoluchowski coagulation equation with constant coagulation kernel is provided. In contrast to the previous approaches which rely on the Laplace transform, a dynamical systems approach is used on the equation written in self-similar variables, for which several Liapunov functionals are identified.