Existence and numerical results of a transient lubrication problem with cavitation

DOI10.1016/j.jmaa.2012.03.032zbMath1246.35096OpenAlexW2057348481MaRDI QIDQ439260

Mohammed Jai, Mohamed El Alaoui Talibi

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.032

zbMATH Keywords

numerical simulationElrod and Adams' modelsecond kind variational inequalitiessemi-discretization in time

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (4)

An active‐set mixed finite element solver for a transient hydrodynamic lubrication problem in the presence of cavitation ⋮ Mass-conserving cavitation model for dynamical lubrication problems. I: Mathematical analysis ⋮ Mass-conserving cavitation model for dynamical lubrication problems. II: Numerical analysis ⋮ Uniqueness and asymptotic behaviour of a 1D Elrod-Adams problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the uniqueness of the solution of an evolution free boundary problem in theory of lubrication.
• Lack of contact in a lubricated system
• On the Existence of Solutions of Equilibria in Lubricated Journal Bearings
• Numerical simulation of a lubricated Hertzian contact problem under imposed load.

This page was built for publication: Existence and numerical results of a transient lubrication problem with cavitation