Equilibrium analysis for a mass-conserving model in presence of cavitation

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 b...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2017-06, Vol.35, p.250-264
Main Authors: Ciuperca, Ionel S., Jai, Mohammed, Tello, J. Ignacio
Format: Article
Language:English
Subjects:
Analysis of PDEs
Cavitation
Equilibrium
Equilibrium analysis
Integral equations
Inverse problems
Lubrication
Mathematical problems
Mathematics
Maximum principle
Reynolds equation
Reynolds lubrication equation
Singular perturbation analysis
Weighted Sobolev spaces
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Summary: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.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2016.10.012