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arXiv · 2606.30148

Asymptotic justification of the Reynolds equation for a spherical bearing

Guy Bayada·José M. Rodríguez·Raquel Taboada-Vázquez
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Abstract

To our knowledge, there is no rigorous mathematical justification of the Reynolds equation for a spherical bearing. In this article, we demonstrate that the solution of the Stokes problem in a domain between two closely spaced spheres converges, as the distance between the spheres approaches zero, to the solution of a "Reynolds equation".

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Guy Bayada, José M. Rodríguez, Raquel Taboada-Vázquez. 2026-06-29. Asymptotic justification of the Reynolds equation for a spherical bearing. https://arxiv.org/abs/2606.30148

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