Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations
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| Format: | Preprint |
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2024
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| _version_ | 1866929235057180672 |
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| author | Franck, Tchinda Joel, Fotso Tachago Joseph, Dongho |
| author_facet | Franck, Tchinda Joel, Fotso Tachago Joseph, Dongho |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_03679 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations Franck, Tchinda Joel, Fotso Tachago Joseph, Dongho Analysis of PDEs Dynamical Systems 35R60, 76D05, 35B27, 35B40 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. |
| title | Stochastic-periodic Homogenization of Non-stationary Incompressible Navier-Stokes Type Equations |
| topic | Analysis of PDEs Dynamical Systems 35R60, 76D05, 35B27, 35B40 |
| url | https://arxiv.org/abs/2402.03679 |