The periodic unfolding method for a class of imperfect transmission problems |
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Authors: | P Donato K H Le Nguyen R Tardieu |
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Institution: | 1.Université de Rouen, Laboratoire de Mathématiques Rapha?l Salem CNRS UMR,St Etienne du Rouvray,France;2.Faculty of Sciences, Nong Lam University,Ho Chi Minh city,Vietnam |
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Abstract: | The periodic unfolding method was introduced by D. Cioranescu, A. Damlamian and G. Griso for studying the classical periodic
homogenization in fixed domains and more recently extended to periodically perforated domains by D. Cioranescu, A. Damlamian,
P. Donato, G. Griso, and R. Zaki. Here, the method is adapted to two-component domains which are separated by a periodic interface.
The unfolding method is then applied to an elliptic problem with a jump of the solution on the interface, which is proportional
to the flux and depends on a real parameter. We prove some homogenization and corrector results, which recover and complete
those previously obtained by the first author and S. Monsurr`o. Bibliography: 32 titles. Illustrations: 2 figures. |
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