Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application.
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.
Nous présentons un résultat d’existence globale de solutions faibles des équations de Navier-Stokes dans pour des données initiales d’énergie infinie.