Admissible functions in two-scale convergence.
Valadier, Michel (1997)
Portugaliae Mathematica
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Valadier, Michel (1997)
Portugaliae Mathematica
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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.
Ciro D'Apice, Umberto De Maio, Peter I. Kogut (2008)
Annales de l'I.H.P. Analyse non linéaire
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B. Amaziane, S. Antontsev, L. Pankratov, A. Piatnitski (2009)
Annales de l'I.H.P. Analyse non linéaire
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Giovanni Pisante (2004)
ESAIM: Control, Optimisation and Calculus of Variations
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A homogenization problem related to the micromagnetic energy functional is studied. In particular, the existence of the integral representation for the homogenized limit of a family of energies of a large ferromagnetic body is obtained.
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.