Abstract
A quasi-stationary model is constructed for a lubricated piston by coupling a two-dimensional Reynolds equation with three-dimensional Navier-Stokes equations. This hybrid problem is shown to be well-posed in weighted Sobolev spaces with attached asymptotics. Bibliography: 16 titles.
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Dedicated to the 70th birthday of Professor Vsevolod Solonnikov
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 306, 2003, pp. 53–70.
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Videman, J.H., Nazarov, S.A. & Sequeira, A. Asymptotic Modeling of a Piston with Completely Wetted Surface. J Math Sci 130, 4803–4813 (2005). https://doi.org/10.1007/s10958-005-0377-7
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DOI: https://doi.org/10.1007/s10958-005-0377-7