Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

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
Full-text PDF Free Access

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, 1972, p. 38. MR 0473442 (57:13108)
  • 2. R. Von Mises, Mathematical Theory of Compressible Fluid Flow, Applied Mathematics and Mechanics, vol. 3, Academic Press, New York, 1958, p. 85. MR 0094996 (20:1504)
  • 3. G. Birkhoff and S. Mac Lane, A Survey of Modern Algebra, Macmillan Company of New York, 1941, p. 306. MR 0005093 (3:99h)
  • 4. R. Berker, Intégration des équations du mouvement d'un fluide visqueux incompressible, Handbuch der Physik VIII/2, Springer, Berline, 1963, pp. 1-386. MR 0161513 (28:4717)
  • 5. K. B. Ranger, Fluid velocity fields derived from vorticity singularities, Quart. Appl. Math. 62 (2004), 671-685. MR 2104268 (2005f:76035)
  • 6. K. B. Ranger, Parametric solutions for differential equations, submitted for publication 2006.

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 76-xx, 76Dxx

Retrieve articles in all journals with MSC (2000): 76-xx, 76Dxx


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.

American Mathematical Society