### 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.

Ioannis Athanasopoulos (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Regularity results of free boundaries for Stefan type problems are discussed. The influence that curvature may have on the behavior of the free boundary is studied and various open problems are also mentioned.