Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics

Authors: G. J. Hirasaki and J. D. Hellums
Journal: Quart. Appl. Math. 26 (1968), 331-342
MSC: Primary 76.35
DOI: https://doi.org/10.1090/qam/234676
MathSciNet review: 234676
Full-text PDF Free Access

References | Similar Articles | Additional Information

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

  • [1] H. Lamb, A treatise on the mathematical theory of the motion of fluids, Cambridge University Press, New York, 1879
  • [2] C. Jacob, Introduction math, à la mécanique des fluids, Gauthier-Villars, Paris, 1959 MR 0114422
  • [3] R. Timman, Memoires offerts a D. Riabouchinsky, Publ. scient. tech. Min. Air, Paris, 1954, 351 MR 0065329
  • [4] J. J. Moreau, Une specification de potential-vecteur en hydrodynamique, Computes Rendus 248, 3406 (1959) MR 0104412
  • [5] K. Aziz and J. D. Hellums, Numerical solution of the three-dimensional equations of motion for laminar natural convection, Phys. Fluids 10, 314 (1967)
  • [6] O. D. Kellogg, Foundations of potential theory, Dover, New York, 1953
  • [7] H. B. Phillips, Vector analysis, Wiley, New York, 1933
  • [8] G. J. Hirasaki, Ph.D. Thesis, Rice University, Houston, Texas, 1967
  • [9] R. Aris, Vectors, tensors, and the basic equations of fluid mechanics, Prentice-Hall, Englewood Cliffs, New Jersey, 1962
  • [10] L. Bers, F. John and M. Schechter, Partial differential equations, Interscience, New York, 1964 MR 0163043
  • [11] C. Truesdell, The classical field theories, Encyclopedia of Physics III, S. Flügge, ed., Springer-Verlag, Berlin, 1960

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 76.35

Retrieve articles in all journals with MSC: 76.35

Additional Information

DOI: https://doi.org/10.1090/qam/234676
Article copyright: © Copyright 1968 American Mathematical Society

American Mathematical Society