Exact solution of linear transport equations in fractal media .1. Renormalization analysis and general theory

被引：36
|
作者：
Giona, M
Schwalm, WA
Schwalm, MK
Adrover, A
机构：
[1] UNIV CAGLIARI, DIPARTIMENTO INGN CHIM, I-09123 CAGLIARI, ITALY
[2] UNIV N DAKOTA, DEPT PHYS, GRAND FORKS, ND 58202 USA
来源：
CHEMICAL ENGINEERING SCIENCE | 1996年 / 51卷 / 20期
关键词：
renormalization; transport phenomena; graph theory; fractal models;
D O I：
10.1016/0009-2509(96)00307-7
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
We develop in detail a renormalization analysis of transport equations on fractals by considering regular model structures represented by means of families of graphs {G((n))}, each of which is characterized by its adjacency matrix. Particular attention is paid to the correct representation of boundary conditions relevant to specific transport problems. The extension theory for the solution of generic transport problems defined by positive functions in the algebra of a given adjacency matrix is also developed. Copyright (C) 1996 Elsevier Science Ltd
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页码：4717 / 4729
页数：13
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