Homogenization for a Variational Problem with a Slip Interface Condition

DOI10.1137/22m1506961zbMath1529.35028arXiv2111.12010MaRDI QIDQ6139396

Silvia Jiménez Bolaños, Miao-Jung Yvonne Ou

Publication date: 18 December 2023

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12010

zbMATH Keywords

homogenizationperiodic structurestwo-scale convergenceslip conditionporoelastic wave equations

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Effective constitutive equations in solid mechanics (74Q15) Flows in porous media; filtration; seepage (76S05) Mixture effects in solid mechanics (74F20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Cites Work

• Non-homogeneous media and vibration theory
• Propagation of waves in a fluid-saturated porous elastic solid
• Asymptotic Analysis for a Stiff Variational Problem Arising in Mechanics
• Asymptotic study of the macroscopic behaviour of a solid-fluid mixture
• 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
• Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model
• Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions
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