The aim of this paper is to investigate second order transmission problems across quasi-filling dynamical layers from the point of view of the variational convergence of energy forms. We prove that the solution to the second order transmission problem across a Koch-type curve is the limit of the solutions to suitable second order transmission problems across polygonal curves. The aim of this paper is to investigate second order transmission problems across quasi-filling dynamical layers from the point of view of the variational convergence of energy forms. We prove that the solution to the second order transmission problem across a Koch-type curve is the limit of the solutions to suitable second order transmission problems across polygonal curves.
Dynamical quasi-filling fractal layers / Capitanelli, Raffaela; Vivaldi, Maria Agostina. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - 48:(2016), pp. 3931-3961. [10.1137/15M1043893]
Dynamical quasi-filling fractal layers
CAPITANELLI, Raffaela;VIVALDI, Maria Agostina
2016
Abstract
The aim of this paper is to investigate second order transmission problems across quasi-filling dynamical layers from the point of view of the variational convergence of energy forms. We prove that the solution to the second order transmission problem across a Koch-type curve is the limit of the solutions to suitable second order transmission problems across polygonal curves. The aim of this paper is to investigate second order transmission problems across quasi-filling dynamical layers from the point of view of the variational convergence of energy forms. We prove that the solution to the second order transmission problem across a Koch-type curve is the limit of the solutions to suitable second order transmission problems across polygonal curves.| File | Dimensione | Formato | |
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