Existence of solutions to the Reynolds equation of elastohydrodynamic lubrication

DOI10.1016/0020-7225(85)90075-8zbMath0619.76043OpenAlexW2141715893MaRDI QIDQ1090188

B. George

Publication date: 1985

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(85)90075-8

zbMATH Keywords

existenceReynolds equationpseudomonotone operatorselastohydrodynamic lubricationpseudomonotone variational inequalitieshighly nonlinear variational inequalityincompressible Newtonian lubricantelastically - deforming bearings

Mathematics Subject Classification ID

Variational inequalities (49J40) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08)

Related Items

A note on some mathematical studies on elastohydrodynamic lubrication ⋮ Numerical computation of free boundary problems in elastohydrodynamic lubrication ⋮ Unnamed Item ⋮ A variational principle for dynamic contact with large deformation ⋮ Asymptotic analysis of a thin fluid layer flow between two moving surfaces ⋮ Mathematical analysis of some new Reynolds-rod elastohydrodynamic models ⋮ Convergence and error estimates for finite element solutions of elastohydrodynamic lubrication ⋮ An application of the control by coefficients in a variational inequality for hydrodynamic lubrication ⋮ The implicit general order complementarity problem, models and iterative methods

Cites Work

• Existence theorems for a class of problems in nonlinear elasticity
• Generalized potentials in finite elastoplasticity
• Theory of variational inequalities with applications to problems of flow through porous media
• Equivalent Norms for Sobolev Spaces