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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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

   
 
 

 

Surface waves in water of variable depth


Author: J. J. Stoker
Journal: Quart. Appl. Math. 5 (1947), 1-54
MSC: Primary 76.1X
DOI: https://doi.org/10.1090/qam/22135
MathSciNet review: 22135
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    Airy, G. B., Tides and waves, Art. 192 in Encyc. Metrop. (1845). Bondi, O. On the problem of breakers, Admiralty computing service (1943). Hanson, E. T., The theory of ship waves, Proc. Roy. Soc. London (A) 111, 491–529 (1926). Lamb, H., Hydrodynamics, Dover Publications, New York, 1945. Levi-Cività, T., Détermination rigoureuse des ondes permanentes d’ampleur finie, Math. Ann., 93, 264–314 (1925).
  • Hans Lewy, Water waves on sloping beaches, Bull. Amer. Math. Soc. 52 (1946), 737–775. MR 22134, DOI https://doi.org/10.1090/S0002-9904-1946-08643-7
  • Mathematical Tables Project of the National Bureau of Standards, Washington, D. C. Tables of Sine, Cosine and Exponential Integrals. New York, 1940. 2 volumes. Mathematical Tables Project. Table of $E\left ( z \right ) = {e^z}\int _z^\infty {\left ( {{e^{ - u}}/u} \right )du}$ prepared for the Applied Mathematics Panel, N.D.R.C. Miche, A. Mouvements ondulatoires de la mer en profondeur constante ou décroissante, Ann. des ponts et chaussées, 114, 25–78, 131–164, 270–292, 369–406 (1944). Milne-Thompson, L. M., Theoretical hydrodynamics, Macmillan, London, 1938.
  • D. J. Struik, Détermination rigoureuse des ondes irrotationelles périodiques dans un canal à profondeur finie, Math. Ann. 95 (1926), no. 1, 595–634 (French). MR 1512296, DOI https://doi.org/10.1007/BF01206629
  • Weinstein, A., Sur un problème aux limites dans une bande indéfinie, C. R. Ac. Sci. Paris, 184, 497–499 (1927). Weinstein, A., Sur la vitesse de propagation de l’onde solitaire, Rend. Acc. Lincei, (6), 3, 463–468 (1926).

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Article copyright: © Copyright 1947 American Mathematical Society