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
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Additional Information
H. Lamb, A treatise on the mathematical theory of the motion of fluids, Cambridge University Press, New York, 1879
- Caius Jacob, Introduction mathématique à la mécanique des fluides, Éditions de l’Académie de la République Populaire Roumaine, Bucharesst; Gauthier-Villars, Paris, 1959 (French). Préface de Henri Villat. MR 0114422
- R. Timman, Le potentiel vecteur et son application à l’analyse harmonique d’un écoulement à trois dimensions, Mémoires sur la mécanique des fluides offerts à M. Dimitri P. Riabouchinsky, Publ. Sci. Tech. Ministère de l’Air, Tech. Ministère de l’Air, Paris, 1954, pp. 351–361 (French). MR 0065329
- Jean-Jacques Moreau, Une spécification du potentiel-vecteur en hydrodynamique, C. R. Acad. Sci. Paris 248 (1959), 3406–3408 (French). MR 104412
K. Aziz and J. D. Hellums, Numerical solution of the three-dimensional equations of motion for laminar natural convection, Phys. Fluids 10, 314 (1967)
O. D. Kellogg, Foundations of potential theory, Dover, New York, 1953
H. B. Phillips, Vector analysis, Wiley, New York, 1933
G. J. Hirasaki, Ph.D. Thesis, Rice University, Houston, Texas, 1967
R. Aris, Vectors, tensors, and the basic equations of fluid mechanics, Prentice-Hall, Englewood Cliffs, New Jersey, 1962
- Lipman Bers, Fritz John, and Martin Schechter, Partial differential equations, Lectures in Applied Mathematics, Vol. III, Interscience Publishers John Wiley & Sons, Inc. New York-London-Sydney, 1964. With special lectures by Lars Garding and A. N. Milgram. MR 0163043
C. Truesdell, The classical field theories, Encyclopedia of Physics III, S. Flügge, ed., Springer-Verlag, Berlin, 1960
H. Lamb, A treatise on the mathematical theory of the motion of fluids, Cambridge University Press, New York, 1879
C. Jacob, Introduction math, à la mécanique des fluids, Gauthier-Villars, Paris, 1959
R. Timman, Memoires offerts a D. Riabouchinsky, Publ. scient. tech. Min. Air, Paris, 1954, 351
J. J. Moreau, Une specification de potential-vecteur en hydrodynamique, Computes Rendus 248, 3406 (1959)
K. Aziz and J. D. Hellums, Numerical solution of the three-dimensional equations of motion for laminar natural convection, Phys. Fluids 10, 314 (1967)
O. D. Kellogg, Foundations of potential theory, Dover, New York, 1953
H. B. Phillips, Vector analysis, Wiley, New York, 1933
G. J. Hirasaki, Ph.D. Thesis, Rice University, Houston, Texas, 1967
R. Aris, Vectors, tensors, and the basic equations of fluid mechanics, Prentice-Hall, Englewood Cliffs, New Jersey, 1962
L. Bers, F. John and M. Schechter, Partial differential equations, Interscience, New York, 1964
C. Truesdell, The classical field theories, Encyclopedia of Physics III, S. Flügge, ed., Springer-Verlag, Berlin, 1960
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Article copyright:
© Copyright 1968
American Mathematical Society
