On some mathematical models arising in lubrication theory

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Abstract

In this paper, we present a synthesis of some results related to the hydrodynamic lubrication problem from mechanical engineering. The hydrodynamic lubrication problem is related to the analysis of the physical phenomena arising when a viscous lubricant is forced to flow between two surfaces in relative motion. A question of great importance is to describe how cavitation can take place and influence the pressure distribution in the lubricant between the two moving surfaces.

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Goeleven, D., & Oujja, R. (2018). On some mathematical models arising in lubrication theory. In Springer Optimization and Its Applications (Vol. 134, pp. 355–385). Springer International Publishing. https://doi.org/10.1007/978-3-319-89815-5_12

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