First-order expansion of homogenized coefficients under Bernoulli perturbations
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Publication:476103
DOI10.1016/j.matpur.2014.03.008zbMath1304.35066arXiv1301.7685OpenAlexW2132103802MaRDI QIDQ476103
Publication date: 28 November 2014
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.7685
Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Second-order elliptic equations (35J15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (14)
Smoothness of the diffusion coefficients for particle systems in continuous space ⋮ Homogenization theory and multiscale numerical approaches for disordered media: some recent contributions ⋮ Perturbation problems in homogenization of Hamilton-Jacobi equations ⋮ A short proof of Gevrey regularity for homogenized coefficients of the Poisson point process ⋮ The Clausius–Mossotti formula ⋮ Some variance reduction methods for numerical stochastic homogenization ⋮ Mathematical Approaches for Contemporary Materials Science: Addressing Defects in the Microstructure ⋮ Examples of computational approaches for elliptic, possibly multiscale PDEs with random inputs ⋮ Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media ⋮ Efficient methods for the estimation of homogenized coefficients ⋮ Computing homogenized coefficientsviamultiscale representation and hierarchical hybrid grids ⋮ Quantitative homogenization of interacting particle systems ⋮ A Control Variate Approach Based on a Defect-Type Theory for Variance Reduction in Stochastic Homogenization ⋮ Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas
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