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Mathematical Problems in Engineering
Volume 2010, Article ID 874540, 23 pages
http://dx.doi.org/10.1155/2010/874540
Research Article

Approximate Ad Hoc Parametric Solutions for Nonlinear First-Order PDEs Governing Two-Dimensional Steady Vector Fields

Department of Engineering Sciences, University of Patras, GR 26504, Greece

Received 20 April 2010; Accepted 3 November 2010

Academic Editor: Oleg V. Gendelman

Copyright © 2010 M. P. Markakis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. F. Ames, Nonlinear Partial Differential Equations in Engineering, Academic Press, New York, NY, USA, 1965.
  2. S. Golstein, Modern Developments in Fluid Dynamics, vol. 1, Oxford University Press, London, UK, 1938.
  3. S. Pai, Magnetogas-Dynamics and Plasma Dynamics, Springer, Vienna, Austria, 1962.
  4. S. Chandrasekhar, Plasma Physics, University of Chicago Press, Chicago, Ill, USA, 1960.
  5. D. E. Panayotounakos and M. Markakis, “Ad hoc closed form solutions of the two-dimensional non-linear steady small perturbation equation in fluid mechanics,” International Journal of Non-Linear Mechanics, vol. 30, no. 4, pp. 597–608, 1995. View at Publisher · View at Google Scholar · View at MathSciNet
  6. H. W. Liepmann and A. Roshko, Elements of Gasdynamics, Galcit Aeronautical Series, John Wiley & Sons, New York, NY, USA, 1957.
  7. S. I. Pai, “One-dimensional unsteady flow of magneto-gasdynamics,” in Proceedings of the 5th Midwestern Conference on Fluid Mechanics, pp. 251–261, University of Michigan Press, Ann Arbor, Mich, USA, 1957.
  8. A. D. Polyanin and V. F. Zaitsev, Handbook of Exact Solutions for Ordinary Differential Equations, Chapman & Hall/CRC, Boca Raton, Fla, USA, 2nd edition, 2003.
  9. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, Boston, Mass, USA, 5th edition, 1994.