References
Joseph, D. D., Parameter and domain dependence of eigenvalues of elliptic partial differential equations. Arch. Rational Mech. Anal. 24, 325–351 (1967).
Joseph, D. D., Global Stability of Fluid Motion. Springer Tracts in Natural Philosophy (1971 unpublished draft; to appear in 1974).
Joseph, D. D., & R. Fosdick, The free surface on a liquid between cylinders rotating at different speeds. Arch. Rational Mech. Anal. 49, 321–381 (1973).
Joseph, D. D., Die-Swell I; The final diameter of a capillary jet. Arch. Rational Mech. Anal. (to appear).
Levi-Civita, T., Détermination rigoureuse des ondes permanentes d'ampleur finie. Mathematische Annalen, 93, 264–314 (1925).
Stokes, G. G., On the theory of oscillatory waves. Transactions of the Cambridge Philosophical Society 8, 1847, and Supplement. Scientific Papers, 1.
Stoker, J. J., Water Waves. New York: Interscience 1957.
Struik, D. J., Détermination rigoureuse des ondes irrotationnelles périodiques dans un canal à profondeur finie. Mathematische Annalen 95, 595–634 (1926).
Wehausen, J. V., & E. V. Laitone, Surface Waves. Handbuch der Physik IX (ed. S. Flügge & C. Truesdell). Berlin-Göttingen-Heidelberg: Springer 1960.
Author information
Authors and Affiliations
Additional information
I am happy to acknowledge the help which I have received from E. Dussan V., J. Keller, W. Littman and J. Wehausen in understanding the traditional Eulerian derivation of the higher order wave theory. This work was supported by the United States National Science Foundation under grant GK-12500.
Rights and permissions
About this article
Cite this article
Joseph, D.D. Domain perturbations: The higher order theory of infinitesimal water waves. Arch. Rational Mech. Anal. 51, 295–303 (1973). https://doi.org/10.1007/BF00250536
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00250536