Capillary gravity waves caused by a moving disturbance: Wave resistance

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 53, Issue 4 SUPPL. A, 1996, Pages 3448-3455

  Raphael E ^a   De Gennes, P G ^a  

^a PSL Research University   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001198893     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.53.3448     Document Type: Article

References (15)

1. E. Raphaël and P.-G. de Gennes, C. R. Acad. Sci. Ser. II 317, 153 (1993).
2. E. Raphaël and P.-G. de Gennes, Europhys. Lett. 31, 293 (1995).
3. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, 2nd ed. (Pergamon, New York, 1987).
4. D. J. Acheson, Elementary Fluid Dynamics (Clarendon, Oxford, 1990).
5. J. Lighthill, Waves in Fluids, 6th ed. (Cambridge University Press, Cambridge, 1979).
6. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, 1993).
7. Lord Rayleigh, Proc. London Math. Soc. 15, 69 (1883).
8. 2)].
9. T. H. Havelock, Proc. R. Soc. A 95, 354 (1918).
10. See, for instance, G. Arfken, Mathematical Methods for Physicists, 3rd ed. (Academic, New York, 1985).
11. ε(x) and then to take the limit ε→0.
12. See, for instance, Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1972).
13. 1/2.
14. The following analysis is reminiscent of the development given in Landau and Lifshitz concerning the drag force in the potential flow past a body, see Ref. [3], pp. 26-31.
15. min)≠ ρΩ.