We describe homogenization models for reiforcement problems of plane domains with fractal boundaries and for elastic membranes reinforced by the inclusion of a fractal string. We follow a variational approach consisting in proving the convergence of certain energy functionals. This leads to the spectral convergence of a sequence of weighted second order elliptic partial differential operators to an elliptic operator with a fractal term.
Homogenization models with fractal strings / Vivaldi, Maria Agostina. - STAMPA. - (2011), pp. 181-199. (Intervento presentato al convegno Evolution Equations and Materials with Memory tenutosi a Roma nel Luglio 2010).
Homogenization models with fractal strings
VIVALDI, Maria Agostina
2011
Abstract
We describe homogenization models for reiforcement problems of plane domains with fractal boundaries and for elastic membranes reinforced by the inclusion of a fractal string. We follow a variational approach consisting in proving the convergence of certain energy functionals. This leads to the spectral convergence of a sequence of weighted second order elliptic partial differential operators to an elliptic operator with a fractal term.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
