Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Parametrization of the two and three-dimensional motion of a viscous incompressible liquid


Author: K. B. Ranger
Journal: Quart. Appl. Math. 64 (2006), 401-412
MSC (2000): Primary 76-xx, 76Dxx
DOI: https://doi.org/10.1090/S0033-569X-06-01037-2
Published electronically: August 17, 2006
MathSciNet review: 2259045
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Abstract | References | Similar Articles | Additional Information

Abstract: A method is described for parametrizing the velocity components and space coordinates in terms of parametric functions and time for the two and three-dimensional motion of a viscous incompressible liquid. The two-dimensional motion contains four functions and the three-dimensional motion contains six functions satisfying minimal requirements.


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

  • 1. W. F. Ames, Nonlinear partial differential equations in engineering. Vol. II, Academic Press, New York-London, 1972. Mathematics in Science and Engineering, Vol. 18-II. MR 0473442
  • 2. Richard von Mises, Mathematical theory of compressible fluid flow, Applied mathematics and mechanics. Vol. 3, Academic Press, Inc., New York, N.Y., 1958. MR 0094996
  • 3. Garrett Birkhoff and Saunders MacLane, A Survey of Modern Algebra, Macmillan Company, New York, 1941. MR 0005093
  • 4. Ratip Berker, Intégration des équations du mouvement d’un fluide visqueux incompressible, Handbuch der Physik, Bd. VIII/2, Springer, Berlin, 1963, pp. 1–384 (French). MR 0161513
  • 5. K. B. Ranger, Fluid velocity fields derived from vorticity singularities, Quart. Appl. Math. 62 (2004), no. 4, 671–685. MR 2104268, https://doi.org/10.1090/qam/2104268
  • 6. K. B. Ranger, Parametric solutions for differential equations, submitted for publication 2006.

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Additional Information

K. B. Ranger
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario M5S 3G3 Canada

DOI: https://doi.org/10.1090/S0033-569X-06-01037-2
Received by editor(s): May 12, 2004
Published electronically: August 17, 2006
Article copyright: © Copyright 2006 Brown University
The copyright for this article reverts to public domain 28 years after publication.


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