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Zbl 0605.76032
Fujita-Yashima, Hisao
Problème de la surface libre de l'équation de Navier-Stokes - cas staionnaire et cas périodique. (Free surface problem of Navier-Stokes equations - stationary case and periodic case). (French)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 12, 532-587 (1985). ISSN 0391-173X

(From author's introduction.) We are concerned with the motion of a viscous incompressible fluid in a three-dimensional domain that is infinite in the horizontal direction and bounded on top by a free surface and below by a fixed bottom. We assume that the motion of the fluid is governed by the Navier-Stokes equations, with the conditions of no-slip at the lower boundary and continuity of the pressure and surface tension at the upper boundary.
[F.A.Howes]

MSC 2000:: *76D05 Navier-Stokes equations (fluid dynamics)
35Q30 Stokes and Navier-Stokes equations

Keywords: viscous incompressible fluid; three-dimensional domain; free surface; fixed bottom; Navier-Stokes equations; conditions of no-slip at the lower boundary; surface tension

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Zentralblatt MATH Berlin [Germany]