Stochastic ∑-convergence and applications
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Date
Authors
Sango, Mamadou
Woukeng, Jean Louis
Journal Title
Journal ISSN
Volume Title
Publisher
International Press
Abstract
Motivated by the fact that in nature almost all phenomena behave
randomly in some scales and deterministically in some other scales, we
build up a framework suitable to tackle both deterministic and stochastic homogenization
problems simultaneously, and also separately. Our approach,
the stochastic ∑-convergence, can be seen either as a multiscale stochastic approach
since deterministic homogenization theory can be seen as a special case
of stochastic homogenization theory (see Theorem 3), or as a conjunction of
the stochastic and deterministic approaches, both taken globally, but also each
separately. One of the main applications of our results is the homogenization
of a model of rotating fluids.
Description
Keywords
Dynamical systems, Stochastic ∑-convergence
Sustainable Development Goals
Citation
Sango, M & Woukeng, JL 2011, 'Stochastic ∑-convergence and applications', Dynamics of Partial Differential Equations, vol. 8, no. 4, pp. 261-310.