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.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.

Exact solution of linear transport equations in fractal media - I. Renormalization analysis and general theory / Giona, Massimiliano; Schwalm, William A.; Schwalm, Mizuho K.; Adrover, Alessandra. - In: CHEMICAL ENGINEERING SCIENCE. - ISSN 0009-2509. - 51:20(1996), pp. 4717-4729. [10.1016/0009-2509(96)00307-7]

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

Massimiliano Giona;ADROVER, Alessandra
1996

Abstract

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.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.
1996
renormalization; transport phenomena; graph theory; fractal models
01 Pubblicazione su rivista::01a Articolo in rivista
Exact solution of linear transport equations in fractal media - I. Renormalization analysis and general theory / Giona, Massimiliano; Schwalm, William A.; Schwalm, Mizuho K.; Adrover, Alessandra. - In: CHEMICAL ENGINEERING SCIENCE. - ISSN 0009-2509. - 51:20(1996), pp. 4717-4729. [10.1016/0009-2509(96)00307-7]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/46416
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