On the instantaneous formation of cavitation in hydrodynamic lubrication

We consider the Elrod-Adams model extending the classical lubrication Reynold equation to the case of the possible presence of a cavitation region. We show that the behaviour of the pressure and saturation depends crucially of the behaviour of the separation $h(t,x,y)$ among the two surfaces. In particular, we exhibit some simple formulations for which we prove (rigorously) that a cavitation region is formed instantaneously (even for initially saturated flows). Some numerical experiences are also given.

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Source https://hal.science/hal-00090870
Author Ildefonso Diaz, Jesus, Martin, Sébastien
Maintainer CCSD
Last Updated May 8, 2026, 02:55 (UTC)
Created May 8, 2026, 02:55 (UTC)
Identifier hal-00090870
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Departamento de Matematica Aplicada [Madrid] ; Universidad Complutense de Madrid = Complutense University of Madrid [Madrid] (UCM)
creator Ildefonso Diaz, Jesus
date 2006-09-04T00:00:00
harvest_object_id 0e7533f5-d1f9-41ca-861c-e34dd4ba1cb3
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-23T00:00:00
set_spec type:UNDEFINED