2024/02/06 by Tchinda Franck, Franck, Tchinda, Fotso Tachago Joel +3
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Advanced Numerical Methods in Computational Mathematics
paper · pdf · doi:10.48550/arxiv.2402.03679
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.