A numerical study of the relationship between the dimensionless parameters in the problem of periodic waves of permanent type in a liquid of finite depth
Author:
J. W. Thomas
Journal:
Quart. Appl. Math. 32 (1975), 403-410
DOI:
https://doi.org/10.1090/qam/99674
MathSciNet review:
QAM99674
Full-text PDF Free Access
References |
Additional Information
- Hans F. Bueckner, An iterative method for solving nonlinear integral equations, Symposium on the numerical treatment of ordinary differential equations, integral and integro-differential equations (Rome, 1960) Birkhäuser, Basel, 1960, pp. 613–643. MR 0129571
W. E. Conway and J. W. Thomas, Free streamline problems and the Milne-Thomas integral equations, J. Math. Phys. Sci. VIII, 67–92 (1974)
T. Levi-Civita, Determination rigoureuse des ondes permanentes d’ampleur finie, Math. Ann. 93, 264–314 (1925)
- Walter Littman, On the existence of periodic waves near critical speed, Comm. Pure Appl. Math. 10 (1957), 241–269. MR 88237, DOI https://doi.org/10.1002/cpa.3160100203
L. M. Milne–Thomson, Theoretical hydrodynamics, 5th edition, New York, Macmillan Company, 1968
- James William Thomas, ON THE EXACT FORM OF GRAVITY WAVES ON THE SURFACE OF AN INVISCID LIQUID, ProQuest LLC, Ann Arbor, MI, 1967. Thesis (Ph.D.)–The University of Arizona. MR 2616306
J. W. Thomas, Irrotational gravity waves of finite height: a numerical study, Mathematica 15, 139–148 (1968)
- John V. Wehausen and Edmund V. Laitone, Surface waves, Handbuch der Physik, Vol. 9, Part 3, Springer-Verlag, Berlin, 1960, pp. 446–778. MR 0119656
Hans F. Bueckner, An iterative method for solving nonlinear integral equations, MRC Tech. Report #207, University of Wisconsin, 1960
W. E. Conway and J. W. Thomas, Free streamline problems and the Milne-Thomas integral equations, J. Math. Phys. Sci. VIII, 67–92 (1974)
T. Levi-Civita, Determination rigoureuse des ondes permanentes d’ampleur finie, Math. Ann. 93, 264–314 (1925)
Walter Littman, On the existence of periodic waves near critical speed, Comm. Pure Appl. Math. 10, 243–269 (1957)
L. M. Milne–Thomson, Theoretical hydrodynamics, 5th edition, New York, Macmillan Company, 1968
J. W. Thomas, On the exact form of gravity waves on the surface of an inviscid liquid, dissertation, University of Arizona, 1967
J. W. Thomas, Irrotational gravity waves of finite height: a numerical study, Mathematica 15, 139–148 (1968)
John V. Wehausen and Edmund V. Laitone, Surface waves, in Encyclopedia of physics IX , 446–814 (1960)
Additional Information
Article copyright:
© Copyright 1975
American Mathematical Society
