Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition

DOI10.3934/nhm.2015.10.343zbMath1336.60122arXiv1402.6374OpenAlexW2963161191MaRDI QIDQ258493

Hakima Bessaih, Yalchin R. Efendiev, Florian Maris

Publication date: 10 March 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6374

zbMATH Keywords

homogenizationevolution Stokes equationperforated mediumstochastic Fourier boundary conditionStokes flows

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization applied to problems in fluid mechanics (76M50)

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Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing

Cites Work

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• A relatively short proof of Itô's formula for SPDEs and its applications
• Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: the almost periodic framework
• Reiterated ergodic algebras and applications
• Homogenization structures and applications. II
• Semigroups of linear operators and applications to partial differential equations
• Non-homogeneous media and vibration theory
• Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary
• Homogenization structures and applications. I
• Homogenization in algebras with mean value
• Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions
• Discrete to continuum limit for some models of stochastic lattices of atoms
• Stochastic Equations in Infinite Dimensions
• Effective Macroscopic Dynamics of Stochastic Partial Differential Equations in Perforated Domains
• Reductions and Deviations for Stochastic Partial Differential Equations Under Fast Dynamical Boundary Conditions
• Homogenization of the Navier-Stokes equations with a slip boundary condition
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions

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