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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
