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arXiv · 2402.03679

Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations

Tchinda Franck·Fotso Tachago Joel·Dongho Joseph
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Abstract

In this paper, we study the stochastic-periodic homogenization of Non-stationary Navier-Stokes Type Equations on anisotropic heterogeneous media. More precisely, we are interested in the stochastic-periodic homogenization of its variational formulation. This problematic relies on the notion of dynamical system. It is shown by the stochastic two-scale convergence method that the resulting homogenized limit equation is of the same form of this variational formulation with suitable coefficients.

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Tchinda Franck, Fotso Tachago Joel, Dongho Joseph. 2024-02-06. Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations. https://arxiv.org/abs/2402.03679

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