Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 

 

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
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References | Additional Information

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  • [1] 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
  • [2] W. E. Conway and J. W. Thomas, Free streamline problems and the Milne-Thomas integral equations, J. Math. Phys. Sci. VIII, 67-92 (1974)
  • [3] T. Levi-Civita, Determination rigoureuse des ondes permanentes d'ampleur finie, Math. Ann. 93, 264-314 (1925)
  • [4] Walter Littman, On the existence of periodic waves near critical speed, Comm. Pure Appl. Math. 10 (1957), 241–269. MR 0088237, https://doi.org/10.1002/cpa.3160100203
  • [5] L. M. Milne-Thomson, Theoretical hydrodynamics, 5th edition, New York, Macmillan Company, 1968
  • [6] 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
  • [7] J. W. Thomas, Irrotational gravity waves of finite height: a numerical study, Mathematica 15, 139-148 (1968)
  • [8] 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


Additional Information

DOI: https://doi.org/10.1090/qam/99674
Article copyright: © Copyright 1975 American Mathematical Society


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