Equilibrium analysis for a mass-conserving model in presence of cavitation. (June 2017)

• Record Type: Journal Article
• Authors: Ciuperca, Ionel S.; Jai, Mohammed; Tello, J. Ignacio
• Is Part Of: Nonlinear analysis. Volume 35(2017)
• Page Start: 250
• Page End: 264
• Publication Date: 2017-06
• Subjects: Reynolds lubrication equation -- Inverse problems -- Weighted Sobolev spaces -- Singular perturbation analysis -- Maximum principle; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.10.012
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We study the existence of equilibrium positions for the load problem in Lubrication Theory. The problem consists of two surfaces in relative motion separated by a small distance filled by a lubricant. The system is described by the modified Reynolds equation (Elrod–Adams model) which describes the behavior of the lubricant and an extra integral equation given the balance of forces. The balance of forces allows to obtain the unknown position of the surfaces, defined with one degree of freedom.