A note on some mathematical studies on elastohydrodynamic lubrication

DOI10.1016/0020-7225(87)90057-7zbMath0622.76039OpenAlexW2113078093MaRDI QIDQ1091196

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90057-7

zbMATH Keywords

convergenceweak solutionsexistence of solutionsa priori error estimatesfinite element solutionspenalty methodelastohydrodynamic lubricationcontact regionnonlinear variational inequalitybounded, coercive, pseudomonotone continuous operatorone-dimensional line contact problemsReynolds-Hertz equationssequences of finite-dimensional approximationsundetermined boundary

Mathematics Subject Classification ID

Lubrication theory (76D08) Existence theories for problems in abstract spaces (49J27) Partial differential equations of mathematical physics and other areas of application (35Q99) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05)

Related Items (4)

Numerical computation of free boundary problems in elastohydrodynamic lubrication ⋮ Numerical solution of a 1-d elastohydrodynamic problem in magnetic storage devices ⋮ Mathematical analysis of some new Reynolds-rod elastohydrodynamic models ⋮ On a variational inequality on elasto-hydrodynamic lubrication

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of solutions for the fundamental problem of the hydrodynamic lubrication
• A penalty formulation and numerical approximation of the Reynolds-Hertz problem of elastohydrodynamic lubrication
• Existence of solutions to the Reynolds equation of elastohydrodynamic lubrication
• Theory of variational inequalities with applications to problems of flow through porous media
• On a problem of the theory of lubrication governed by a variational inequality
• Convergence and error estimates for finite element solutions of elastohydrodynamic lubrication
• Equivalent Norms for Sobolev Spaces

This page was built for publication: A note on some mathematical studies on elastohydrodynamic lubrication