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math.AP2024
Quantitative homogenization for log-normal coefficients
Nicolas Clozeau, Antoine Gloria, Siguang Qi
We establish quantitative homogenization results for the popular log-normal coefficients. Since the coefficients are neither bounded nor uniformly elliptic, standard proofs do not…
math.AP2016★ 7 cited
Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity
Gilles Francfort, Antoine Gloria
Since the seminal contribution of Geymonat, M{ü}ller, and Triantafyllidis, it is known that strong ellipticity is not necessarily conserved by homogenization in linear elasticity.…
math.AP2014★ 98 cited
Quantitative results on the corrector equation in stochastic homogenization
Antoine Gloria, Felix Otto
We derive optimal estimates in stochastic homogenization of linear elliptic equations in divergence form in dimensions . In previous works we studied the model problem of a…