The inhomogeneous dam problem with discontinuous permeability
Avner Friedman, Shao-Yun Huang (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Avner Friedman, Shao-Yun Huang (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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José Carrillo, Abdeslem Lyaghfouri (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Rodrigues, José Francisco (1980)
Portugaliae mathematica
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Friedman, Avner
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Gianni Gilardi, Stephan Luckhaus (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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One proves, in the case of piecewise smooth coefficients, that the time derivative of the solution of the so called dam problem is a measure, extending the result proved by the same authors in the case of Lipschitz continuous coefficients.
S. J. Alvarez (1989)
Publicacions Matemàtiques
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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.