A complex variable integration technique for the two-dimensional Navier-Stokes equations
Author:
K. B. Ranger
Journal:
Quart. Appl. Math. 49 (1991), 555-562
MSC:
Primary 35Q30; Secondary 35C05, 76D05
DOI:
https://doi.org/10.1090/qam/1121686
MathSciNet review:
MR1121686
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Abstract: Starting from a complex variable formulation for the two-dimensional steady flow equations describing the motion of a viscous incompressible liquid, a method is developed which carries out three integrations of the fourth order system in parametric form containing three arbitrary real functions.
- Robert Legendre, Solution plus complète du problème de Blasius. (Écoulement laminaire le long d’un plan mince), C. R. Acad. Sci. Paris 228 (1949), 2008–2010 (French). MR 31913
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
R. Legendre, Solutions plus complète du problème Blasius, Comptes Rendus, Tom. 228 (June), 2008–2010 (1949)
R. Courant and D. Hilbert, Methods of Mathematical Physics, vol. II, Interscience, 1962
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Article copyright:
© Copyright 1991
American Mathematical Society
