Existence of solutions of the Reynolds' equation of elastohydrodynamic lubrication
type: Item
instance of: scholarly article
title: Existence of solutions of the Reynolds' equation of elastohydrodynamic lubrication
zbMATH Open document ID: 0608.76003
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 of 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 the 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: 76A10
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 49S05
zbMATH DE Number: 3984776
zbMATH Keywords: existence of solutions
zbMATH Keywords: highly nonlinear variational inequality
zbMATH Keywords: incompressible Newtonian lubricant
zbMATH Keywords: elastically-deforming bearings
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: Q3700884
cites work: Q4073917
description: scientific article; zbMATH DE number 3984776