EXACT SOLUTION OF LINEAR TRANSPORT-EQUATIONS IN FRACTAL MEDIA .1. RENORMALIZATION ANALYSIS AND GENERAL-THEORY

Authors
GIONA M SCHWALM WA SCHWALM MK ADROVER A
Citation
M. Giona et al., EXACT SOLUTION OF LINEAR TRANSPORT-EQUATIONS IN FRACTAL MEDIA .1. RENORMALIZATION ANALYSIS AND GENERAL-THEORY, Chemical Engineering Science, 51(20), 1996, pp. 4717-4729
Citations number
66
Categorie Soggetti
Engineering, Chemical
Journal title
Chemical Engineering Science → ACNP
ISSN journal
00092509
Volume
51
Issue
20
Year of publication
1996
Pages
4717 - 4729
Database
ISI
SICI code
0009-2509(1996)51:20<4717:ESOLTI>2.0.ZU;2-G
Abstract
We develop in detail a renormalization analysis of transport equations on fractals by considering regular model structures represented by me ans of families of graphs {G((n))}, each of which is characterized by its adjacency matrix. Particular attention is paid to the correct repr esentation of boundary conditions relevant to specific transport probl ems. The extension theory for the solution of generic transport proble ms defined by positive functions in the algebra of a given adjacency m atrix is also developed. Copyright (C) 1996 Elsevier Science Ltd