Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow

DOI10.1007/s11401-011-0643-6zbMath1308.80017OpenAlexW2036785182MaRDI QIDQ741427

Peter Wall, Annette Meidell, Dag Lukkassen

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0643-6

zbMATH Keywords

variational inequalitieshomogenizationtwo-scale convergencelubrication

Mathematics Subject Classification ID

Variational inequalities (49J40) PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Lubrication theory (76D08) Homogenization applied to problems in fluid mechanics (76M50) Homogenization for problems in thermodynamics and heat transfer (80M40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New concepts of homogenization applied in rough surface hydrodynamic lubrication
• Variational bounds applied to unstationary hydrodynamic lubrication
• Homogenization of some variational problems connected to the theory of lubrication
• Two-scale convergence with respect to measures and homogenization of monotone operators
• Homogenized elliptic equations and variational inequalities with oscillating parameters. Application to the study of thin flow behavior with rough surfaces
• Influence of multiscale roughness patterns in cavitated flows: Applications to journal bearings
• Variational principle for non-Newtonian lubrication: Rabinowitsch fluid model
• Homogenization of Reynolds equation by two-scale convergence
• Bounds on the effective behavior of a homogenized generalized Reynolds equation
• Homogenization of the Stokes system in a thin film flow with rapidly varying thickness
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Homogenization and two-scale convergence of the compressible Reynolds lubrication equation modelling the flying characteristics of a rough magnetic head over a rough rigid-disk surface
• Asymptotic behaviour of pressure and stresses in a thin film flow with a rough boundary

This page was built for publication: Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow