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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Ciro D'Apice, Umberto De Maio, Peter I. Kogut (2008)
Annales de l'I.H.P. Analyse non linéaire
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Khalid Benmlih, Otared Kavian (2008)
Annales de l'I.H.P. Analyse non linéaire
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Carlos Conca, François Murat, Claudia Timofte (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The limit behavior of the solutions of Signorini’s type-like problems in periodically perforated domains with period is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as . In the critical case, it is shown that Signorini’s problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming...
Michel Bellieud (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the homogenization of parabolic or hyperbolic equations like when the coefficients , (defined in ) take possibly high values on a -periodic set of grain-like inclusions of vanishing measure. Memory effects arise in the limit problem.
Gianni Dal Maso, François Murat (2004)
Annales de l'I.H.P. Analyse non linéaire
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