Flows in networks with dynamic ramification nodes

被引：20
|
作者：
Sikolya, E [1 ]
机构：
[1] Eotvos Lorand Univ, Dept Appl Anal, H-1117 Budapest, Hungary
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2005年 / 5卷 / 03期
关键词：
network; graph; flow; operator semigroup; spectral theory; positivity;
D O I：
10.1007/s00028-005-0221-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Combining functional analytical and graph theoretical methods, we investigate flow processes as in the papers [15] and [16], but we change the transmission process in the nodes of the network. Instead of conservation of mass, we assume that the velocity of the outgoing flow mass in the vertices is determined by the total incoming flow mass and by the outgoing flow in the other vertices.
引用
收藏
页码：441 / 463
页数：23
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