Qualitative properties of the free-boundary of the Reynolds equation in lubrication

• Autores: S. J. Alvarez
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 33, Nº 2, 1989, págs. 235-251
• Idioma: inglés
• DOI: 10.5565/publmat_33289_06
• Títulos paralelos:
  • Propiedades cualitativas de contorno libre de la ecuación de Reynolds en lubricación
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• Resumen

  • 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.