Homogenization and corrector theory for linear transport in random media
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Publication:708949
DOI10.3934/dcds.2010.28.1311zbMath1206.35027OpenAlexW1978380589MaRDI QIDQ708949
Publication date: 15 October 2010
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2010.28.1311
Asymptotic behavior of solutions to PDEs (35B40) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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A Generalized Linear Transport Model for Spatially Correlated Stochastic Media ⋮ Fluctuations in the homogenization of semilinear equations with random potentials ⋮ Large deviation theory for a homogenized and ``corrected elliptic ODE ⋮ Fluctuations in 1D stochastic homogenization of pseudo-elliptic equations with long-range dependent potentials ⋮ Corrector estimates for the homogenization of a locally periodic medium with areas of low and high diffusivity
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