On the effective interfacial resistance through rough surfaces
Donato Patrizia - Laboratoire de Mathématiques Raphaël Salem, UMR CNRS 6085, Avenue de l’Université, BP 12, 76801 Saint Etienne de Rouvray, France (email)
The paper deals with homogenization of an elliptic boundary value
problem stated in a domain which consists of two connected components separated
by a rapidly oscillating interface with a periodic microstructure, the
interface being situated in a small neighbourhood of a hyperplane. At the
interface we suppose the following transmission conditions: (i) the flux is continuous,
(ii) the jump of a solution at the interface is proportional to the flux
through the interface.
Keywords: Homogenization, rough surfaces, interface conditions.
Received: June 2009; Revised: November 2009; Available Online: May 2010.
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