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On the one-dimensional nonlinear elastohydrodynamic lubrication

Published online by Cambridge University Press:  17 April 2009

Daniel Goeleven  and
Van Hien Nguyen
Daniel Goeleven
Affiliation:
Department of MathematicsFacultes UniversitairesN.-D, de la Paix B-5000 NamurBelgium
Van Hien Nguyen
Affiliation:
Department of MathematicsFacultes UniversitairesN.-D, de la Paix B-5000 NamurBelgium
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Abstract

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In this paper the authors prove an abstract theorem for solutions of a variational inequality on a cone and use it to study the free boundary problem of elastohydrodynamic lubrication from mechanical engineering. The mathematical model is set in a one-dimensional geometry. The existence of a solution for every non-negative lubricant viscosity is proved, and some properties useful for the numerical analysis are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 3 , December 1994 , pp. 353 - 372
Copyright
Copyright © Australian Mathematical Society 1994

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