%0 Journal Article %A Díaz Díaz, Jesús Ildefonso %A Martin, Sébastien %T On the instantaneous formation of cavitation in hydrodynamic lubrication %D 2006 %@ 1631-0721 %U https://hdl.handle.net/20.500.14352/49959 %X We consider the Elrod-Adams model extending the classical lubrication Reynolds equation to the case of the possible presence of a cavitation region. We show that the behaviour of the pressure and saturation depends crucially on 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. %~