Homogenization of -laplacian in perforated domain
B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski (2009)
Annales de l'I.H.P. Analyse non linéaire
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Homogenization of -laplacian in perforated domain
Suboptimal boundary controls for elliptic equation in critically perforated domain
Ciro D'Apice, Umberto De Maio, Peter I. Kogut (2008)
Annales de l'I.H.P. Analyse non linéaire
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Junction of elastic plates and beams
Antonio Gaudiello, Régis Monneau, Jacqueline Mossino, François Murat, Ali Sili (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the linearized elasticity system in a multidomain of . This multidomain is the union of a horizontal plate with fixed cross section and small thickness , and of a vertical beam with fixed height and small cross section of radius . The lateral boundary of the plate and the top of the beam are assumed to be clamped. When and tend to zero simultaneously, with , we identify the limit problem. This limit problem involves six junction conditions.