Stochastic homogenization of nonconvex integral functionals
نویسندگان
چکیده
منابع مشابه
Stochastic homogenization of nonconvex integral functionals
— Almost sure epiconvergenee of a séquence of random intégral functionals is studied without convexity assumption. We give aproofby using an Ergodic theorem and recover and make précise the result of S. Muller in the periodic case. Finally, we study the asymptotic behaviour of corresponding random primai and dual problems in the convex case. Resumé. — Le problème étudié dans cet article concern...
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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 Γ-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....
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We are grateful to the referees and Benedikt Pötscher for their helpful and constructive comments+ The research of the first author was partially supported by OTKA grants T37668 and T43037 and NSF-OTKA grant INT0223262+ The research of the second author was partially supported by NATO grant PST+EAP+CLG 980599 and NSF-OTKA grant INT-0223262+ Address correspondence to István Berkes, Graz Universi...
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We study the relative impact of small-scale random inhomogeneities and singular perturbations in nonlinear elasticity. More precisely, we analyse the asymptotic behaviour of the energy functionals Fε(ω)(u) = ∫ A ( f ( ω, x ε ,Du ) + ε|∆u| ) dx, where ω is a random parameter and ε > 0 denotes a typical length-scale associated with the variations in the elastic properties of the body. For f stati...
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We study the relative impact of small-scale random inhomogeneities and singular perturbations in nonlinear elasticity. More precisely, we analyse the asymptotic behaviour of the energy functionals Fε(ω)(u) = ∫ A ( f ( ω, x ε ,Du ) + ε|∆u| ) dx, where ω is a random parameter and ε > 0 denotes a typical length-scale associated with the variations in the elastic properties of the body. For f stati...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1994
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1994280303291