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            <title xml:lang="en">On the instantaneous formation of cavitation in hydrodynamic lubrication</title>
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                <term xml:lang="en">relaxation time</term>
                <term xml:lang="en">Reynolds</term>
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              <p>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.</p>
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