Existence of solutions for elastohydrodynamic piezoviscous lubrication problems with a new model of cavitation

DOI10.1017/S0956792500002205zbMath0856.76013MaRDI QIDQ4893026

Carlos Vázquez, Guy Bayada, Mohamed El Alaoui Talibi

Publication date: 7 November 1996

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Elrod-Adams modellinear Hertzian theorynonlinear variational nonlocal equation

Mathematics Subject Classification ID

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

Related Items (10)

Existence results for some degenerate elastohydrodynamic problems ⋮ Existence, uniqueness, and homogenization of the second order slip Reynolds equation. ⋮ An elastohydrodynamic coupled problem between a piezoviscous Reynolds equation and a hinged plate model ⋮ Some aspects of lubrication in heavy regimes: thermal effects, stability and turbulence ⋮ Mathematical analysis of some new Reynolds-rod elastohydrodynamic models ⋮ Elrod-Adams cavitation model for a new nonlinear Reynolds equation in piezoviscous hydrodynamic lubrication ⋮ A new more consistent Reynolds model for piezoviscous hydrodynamic lubrication problems in line contact devices ⋮ An unconditional existence result for the quasi-variational elastohydrodynamic free boundary value problem ⋮ An application of the control by coefficients in a variational inequality for hydrodynamic lubrication ⋮ Existence and uniqueness for several nonlinear elliptic problems arising in lubrication theory

Cites Work

• The line contact problem of elastohydrodynamic lubrication - I. Asymptotic structure for low speeds
• A Quasi-Variational Inequality Arising in Elastohydrodynamics
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