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How the Reynolds equation is related to the Stokes equations

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Abstract

The Reynolds equation, which gives the pressure distribution in a thin layer of lubricating fluid, is usually motivated in a rather heuristic way. We make an attempt to clarify how the Reynolds equation can be viewed as an asymptotic solution of the Stokes equations.

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Communicated by D. Kinderlehrer

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Cimatti, G. How the Reynolds equation is related to the Stokes equations. Appl Math Optim 10, 267–274 (1983). https://doi.org/10.1007/BF01448389

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  • DOI: https://doi.org/10.1007/BF01448389

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