Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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.

References [Enhancements On Off] (What's this?)

  • [1] 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 0031913
  • [2] R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391

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DOI: https://doi.org/10.1090/qam/1121686
Article copyright: © Copyright 1991 American Mathematical Society

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