Open Access
2015 Homogenization in algebras with mean value
Jean Louis Woukeng
Banach J. Math. Anal. 9(2): 142-182 (2015). DOI: 10.15352/bjma/09-2-12


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.


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Jean Louis Woukeng. "Homogenization in algebras with mean value." Banach J. Math. Anal. 9 (2) 142 - 182, 2015.


Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 1327.46049
MathSciNet: MR3296112
Digital Object Identifier: 10.15352/bjma/09-2-12

Primary: 46J10
Secondary: 28Axx , 28Bxx , 35B40 , 46Gxx , 46T30 , 60H15

Keywords: Algebras with mean value , Homogenization‎ , stochastic Ladyzhenskaya equations , Young measures

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.9 • No. 2 • 2015
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