Abstract
In several works, the theory of strongly continuous groups is used to build a framework for solving random homogenization problems. Following this idea, we present a detailed and comprehensive framework enabling one to solve homogenization problems in algebras with mean value, regardless of whether they are ergodic or not. We also state and prove a compactness result for Young measures in these algebras. As an important achievement we study the homogenization problem associated with a stochastic Ladyzhenskaya model for incompressible viscous flow, and we present and solve a few examples of homogenization problems related to nonergodic algebras.
Citation
Jean Louis Woukeng. "Homogenization in algebras with mean value." Banach J. Math. Anal. 9 (2) 142 - 182, 2015. https://doi.org/10.15352/bjma/09-2-12
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