Solutions of the Stokes, Oseen, and Navier‐Stokes Equations in Three Dimensions

Publisher: John Wiley & Sons Inc

E-ISSN: 1467-9590|95|2|193-212

ISSN: 0022-2526

Source: STUDIES IN APPLIED MATHEMATICS, Vol.95, Iss.2, 1995-08, pp. : 193-212

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Abstract

A constructive analytical procedure is described for generating a class of solutions pertaining to the fluid velocity field satisfying the three‐dimensional Navier‐Stokes equations. The arbitrary functions occurring in the solution are related to those that arise in the general solution of the Stokes and Oseen equations.