Parametrization of general solutions for the Navier-Stokes equations
Author:
K. B. Ranger
Journal:
Quart. Appl. Math. 52 (1994), 335-341
MSC:
Primary 76D05; Secondary 35Q30
DOI:
https://doi.org/10.1090/qam/1276241
MathSciNet review:
MR1276241
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Abstract: A method is described for constructing general solutions of the steady two-dimensional Navier-Stokes equations governing the motion of a viscous incompressible liquid. The solution for the stream function is expressed in implicit parametric form containing two arbitrary complex functions or four arbitrary real functions.
R. Legendre, Solutions plus complète du problème Blasius, Comptes Rendus, Tom. 228, June 1949, pp. 2008–2010
K. B. Ranger, A complex variable integration technique for the two-dimensional Navier-Stokes equations, Quart. Appl. Math. XLIX, 555–562 (1991)
R. Legendre, Solutions plus complète du problème Blasius, Comptes Rendus, Tom. 228, June 1949, pp. 2008–2010
K. B. Ranger, A complex variable integration technique for the two-dimensional Navier-Stokes equations, Quart. Appl. Math. XLIX, 555–562 (1991)
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Article copyright:
© Copyright 1994
American Mathematical Society
