Existence of solutions to the Reynolds equation of elastohydrodynamic lubrication
type: Item
instance of: scholarly article
title: Existence of solutions to the Reynolds equation of elastohydrodynamic lubrication
zbMATH Open document ID: 0619.76043
DOI: 10.1016/0020-7225(85)90075-8
author: B. George
published in: International Journal of Engineering Science
publication date: 1985-01-01T00:00:00Z
review text: The authors have proved some theorems establishing the existence of solutions to a highly nonlinear variational inequality arising in the study of the flow of an incompressible Newtonian lubricant between elastically - deforming bearings. The problem is formally equivalent to Reynolds equation in elastohydrodynamic lubrication theory. The key to the analyses of this class of problems is that they are characterized by pseudomonotone operators, which means that established results on pseudomonotone variational inequalities are applicable.
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 4005841
zbMATH Keywords: existence
zbMATH Keywords: highly nonlinear variational inequality
zbMATH Keywords: incompressible Newtonian lubricant
zbMATH Keywords: elastically - deforming bearings
zbMATH Keywords: Reynolds equation
zbMATH Keywords: elastohydrodynamic lubrication
zbMATH Keywords: pseudomonotone operators
zbMATH Keywords: pseudomonotone variational inequalities
MaRDI profile type: Publication
full work available at URL: 0020-7225(85)90075-8
OpenAlex ID: W2141715893
cites work: Theory of variational inequalities with applications to problems of flow through porous media
cites work: Generalized potentials in finite elastoplasticity
cites work: Existence theorems for a class of problems in nonlinear elasticity
cites work: Equivalent Norms for Sobolev Spaces
description: scientific article; zbMATH DE number 4005841