Optimal control and “strange term" for a Stokes problem in perforated domains.
Saint Jean Paulin, J., Zoubairi, H. (2002)
Portugaliae Mathematica. Nova Série
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Displaying similar documents to “Suboptimal boundary controls for elliptic equation in critically perforated domain”
Optimal control and “strange term" for a Stokes problem in perforated domains.
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A characterization of gradient Young-concentration measures generated by solutions of Dirichlet-type problems with large sources
Gisella Croce, Catherine Lacour, Gérard Michaille (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We show how to capture the gradient concentration of the solutions of Dirichlet-type problems subjected to large sources of order concentrated on an -neighborhood of a hypersurface of the domain. To this end we define the gradient Young-concentration measures generated by sequences of finite energy and establish a very simple characterization of these measures.
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Annales de l'I.H.P. Analyse non linéaire
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Homogenization of periodic nonconvex integral functionals in terms of Young measures
Omar Anza Hafsa, Jean-Philippe Mandallena, Gérard Michaille (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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Homogenization of periodic functionals, whose integrands possess possibly multi-well structure, is treated in terms of Young measures. More precisely, we characterize the -limit of sequences of such functionals in the set of Young measures, extending the relaxation theorem of Kinderlherer and Pedregal. We also make precise the relationship between our homogenized density and the classical one.