Homogenized elliptic equations and variational inequalities with oscillating parameters. Application to the study of thin flow behavior with rough surfaces

DOI10.1016/j.nonrwa.2005.07.007zbMath1114.35009OpenAlexW2093255334MaRDI QIDQ867943

Guy Bayada, Ionel Sorin Ciuperca, Mohammed Jai

Publication date: 19 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.07.007

zbMATH Keywords

Reynolds equationlubricationdouble scale homogenization

Mathematics Subject Classification ID

Related Items (8)

Stochastic Galerkin approximation of the Reynolds equation with irregular film thickness ⋮ Homogenization of a Reynolds equation describing compressible flow ⋮ A new approach for estimating the friction in thin film lubrication ⋮ Analysis of the effects of rough surfaces in compressible thin film flow by homogenization ⋮ Homogenization of soft interfaces in time-dependent hydrodynamic lubrication ⋮ Analysis of the roughness regimes for micropolar fluids via homogenization ⋮ Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow ⋮ Asymptotic behaviour of solutions of lubrication problem in a thin domain with a rough boundary and Tresca fluid-solid interface law

Cites Work

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• The transition between the Stokes equations and the Reynolds equation: A mathematical proof
• Non-homogeneous media and vibration theory
• Some results on homogenization of convection-diffusion equations
• Asymptotic Analysis for a Stiff Variational Problem Arising in Mechanics
• Homogenisation of parametrised families of hyperbolic problems
• Homogenization and Two-Scale Convergence

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