Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems.
Acker, Andrew F., Lancaster, Kirk E. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Acker, Andrew F., Lancaster, Kirk E. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Friedman, Avner
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Rodrigues, José Francisco (1980)
Portugaliae mathematica
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Hans Wilhelm Alt, Gianni Gilardi (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Caffarelli, Luis A., Karp, Lavi, Shahgholian, Henrik (2000)
Annals of Mathematics. Second Series
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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.