Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

Boundary conditions on the vector and scalar potentials in viscous three-dimensional hydrodynamics


Authors: G. J. Hirasaki and J. D. Hellums
Journal: Quart. Appl. Math. 28 (1970), 293-296
DOI: https://doi.org/10.1090/qam/99793
MathSciNet review: QAM99793
Full-text PDF Free Access

References | Additional Information

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

  • [1] J. E. Fromm, Report LA-3522, Los Alamos Scientific Laboratory, 1067
  • [2] K. E. Torrance, J. Res. Nat. Bur. Standards 72B, No. 4 (1968)
  • [3] A. J. Chorin, A. E. C. Research and Development Report No. NYO-1480-61, New York, 1966
  • [4] -, Bull. Amer. Math. Soc. 73, 928 (1967) MR 0216814
  • [5] F. H. Harlow and J. E. Welch, Phys. Fluids 10, 927 (1967)
  • [6] G. J. Hirasaki and J. D. Hellums, A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics, Quart. Appl. Math. 26, 331 (1968) MR 0234676
  • [7] G. J. Hirasaki, A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics, Ph.D. thesis, Rice Univ., 1967
  • [8] O. D. Kellogg, Foundations of potential theory, Dover, New York, 1953
  • [9] G. K. Batchelor, An introduction to fluid dynamics, Cambridge Univ. Press, New York, 1967, pp. 164-171 MR 1744638
  • [10] A. Sommerfeld, "Mechanics of deformable bodies,'' Lectures on theoretical physics, II, Academic Press New York, 1950, p. 150 MR 0035165
  • [11] K. Aziz and J. D. Hellums, Numerical solution of the three-dimensional equations of motion, for laminar natural convection, Phys. of Fluids 10, 314 (1967)


Additional Information

DOI: https://doi.org/10.1090/qam/99793
Article copyright: © Copyright 1970 American Mathematical Society

American Mathematical Society