This paper deals with transmission problems involving highly conductive layers of fractal type imbedded in Euclidean domains. Suitable energy forms with singular terms on pre-fractal and fractal layers are constructed and related variational principles are stated. The asymptotic convergence of solutions of the pre-fractal problems to the solution of the fractal problem is studied. Some numerical results are also mentioned.
Variational Priciples and Transmission Problems with Fractal Layers / Vivaldi, Maria Agostina. - STAMPA. - 20(2007), pp. 239-259.
Variational Priciples and Transmission Problems with Fractal Layers
VIVALDI, Maria Agostina
2007
Abstract
This paper deals with transmission problems involving highly conductive layers of fractal type imbedded in Euclidean domains. Suitable energy forms with singular terms on pre-fractal and fractal layers are constructed and related variational principles are stated. The asymptotic convergence of solutions of the pre-fractal problems to the solution of the fractal problem is studied. Some numerical results are also mentioned.File allegati a questo prodotto
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