Asymptotic modelling of a~piston with a~completely wetted surface
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Tome 306 (2003), pp. 53-70

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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.
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     title = {Asymptotic modelling of a~piston with a~completely wetted surface},
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J. H. Videman; S. A. Nazarov; A. Sequeira. Asymptotic modelling of a~piston with a~completely wetted surface. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Tome 306 (2003), pp. 53-70. http://geodesic.mathdoc.fr/item/ZNSL_2003_306_a2/