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Sur quelques modélisations de la zone de cavitation en lubrification hydrodynamique. (Some modelling of the cavitation region in hydrodynamic lubrication). (French) Zbl 0621.76030
After a survey of some classical models, we study a new approach to the free boundary problem of the cavitation in hydrodynamic lubrication. This leads to a partial differential equation with a discontinuous nonlinearity; a mathematical study is carried out for two usual shapes of bearings. A finite elements procedure allows us to compute the operational data for a lubricated system with the new model and to compare them with those computed with another model based upon variational inequalities.

MSC:
76D08 Lubrication theory
49S05 Variational principles of physics (should also be assigned at least one other classification number in Section 49-XX)
76M99 Basic methods in fluid mechanics
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