The aim of this work is to obtain convergence results for the solutions of transmission problems across highly conductive layers of pre-fractal type from the point of view of homogenization. We prove the M-convergence of the energy functionals to an energy functional which incorporates a singular term, supported within the layer. From the convergence of the energy functionals we deduce the convergence of the approximating solutions to the limit solution in a suitable sense
Homogenization for conductive thin layers of prefractal type / Lancia, Maria Rosaria; U., Mosco; Vivaldi, Maria Agostina. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 347:(2008), pp. 354-369. [10.1016/j.jmaa.2008.06.011]
Homogenization for conductive thin layers of prefractal type
LANCIA, Maria Rosaria;VIVALDI, Maria Agostina
2008
Abstract
The aim of this work is to obtain convergence results for the solutions of transmission problems across highly conductive layers of pre-fractal type from the point of view of homogenization. We prove the M-convergence of the energy functionals to an energy functional which incorporates a singular term, supported within the layer. From the convergence of the energy functionals we deduce the convergence of the approximating solutions to the limit solution in a suitable senseI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.