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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
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J. E. Fromm, Report LA-3522, Los Alamos Scientific Laboratory, 1067
K. E. Torrance, J. Res. Nat. Bur. Standards 72B, No. 4 (1968)
A. J. Chorin, A. E. C. Research and Development Report No. NYO-1480-61, New York, 1966
- Alexandre Joel Chorin, The numerical solution of the Navier-Stokes equations for an incompressible fluid, Bull. Amer. Math. Soc. 73 (1967), 928–931. MR 216814, DOI https://doi.org/10.1090/S0002-9904-1967-11853-6 F. H. Harlow and J. E. Welch, Phys. Fluids 10, 927 (1967)
- 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 (1968), 331–342. MR 234676, DOI https://doi.org/10.1090/S0033-569X-1968-0234676-1 G. J. Hirasaki, A general formulation of the boundary conditions on the vector potential in three-dimensional hydrodynamics, Ph.D. thesis, Rice Univ., 1967 O. D. Kellogg, Foundations of potential theory, Dover, New York, 1953
- G. K. Batchelor, An introduction to fluid dynamics, Second paperback edition, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1999. MR 1744638
- Arnold Sommerfeld, Mechanics of Deformable Bodies. Lectures on Theoretical Physics, Vol. II, Academic Press, Inc., New York, N. Y., 1950. Translated from the second German edition by G. Kuerti. MR 0035165 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
Article copyright:
© Copyright 1970
American Mathematical Society