The hydrodynamic lubrication of a cylindrical bearing is governed by the Reynolds equation that must be satisfied by the pressure of lubricating oil. When cavitation occurrs we are carried to an elliptic free-boundary problem where the free-boundary separates the lubricated region from the cavited region.
Some qualitative properties are obtained about the shape of the free-boundary as well as the localization of the cavited region.
@article{urn:eudml:doc:41108,
title = {Qualitative properties of the free-boundary of the Reynolds equation in lubrication.},
journal = {Publicacions Matem\`atiques},
volume = {33},
year = {1989},
pages = {235-251},
zbl = {0688.76027},
mrnumber = {MR1030967},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41108}
}
Alvarez, S. J. Qualitative properties of the free-boundary of the Reynolds equation in lubrication.. Publicacions Matemàtiques, Tome 33 (1989) pp. 235-251. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41108/