Periodic traveling water waves with isobaric streamlines

Journal of Nonlinear Mathematical Physics

Volumn 11, Issue 4, 2004, Pages 461-471

  Kalisch, Henrik ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10044265265     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2004.11.4.3     Document Type: Article

References (14)

1. Baddour, R E, and Song, S W. 1998. The rotational flow of finite amplitude periodic water waves on shear currents. Applied Ocean Research, 20:163–171.
2. Constantin, A. 2001. On the deep water wave motion. J. Phys. A, 34:1405–1417.
3. Constantin, A, and Escher, J. 2004. Symmetry of steady periodic surface water waves with vorticity. J. Fluid Mech., 498:171–181.
4. Constantin, A, and Strauss, W. 2002. Exact periodic traveling water water waves with vorticity. C. R. Math. Acad. Sci. Paris, 335:797–800.
5. Constantin, A, and Strauss, W. 2004. Exact steady periodic water waves with vorticity. Comm. Pure Appl. Math., 57:481–527.
6. Dubreil-Jacotin, M L. 1934. Sur la détermination rigoureuse des ondes permanentes périodiques d’ampleur finie. J. Math. Pures Appl., 13:217–291.
7. Gerstner, F. 1809. Theorie der Wellen samt der daraus abgeleiteten Theorie der Deichprofile. Ann. Phys., 2:412–445.
8. Johnson, R S. 1997. A Modern Introduction to the Mathematical Theory of Water Waves, London:Cambridge University Press.
9. Lamb, H. 1924. Hydrodynamics, London:Cambridge University Press.
10. Lighthill, J. 1978. Waves in Fluids, Cambridge:Cambridge University Press.
11. Milne-Thompson, L. 1938. Theoretical Hydrodynamics, London:Macmillan.
12. Okamoto, H, and Shoji, M. 2001. The Mathematical Theory of Permanent Progressive Water Waves, River Edge, NJ:World Scientific.
13. Thomas G, Klopman G, Wave-Current Interactions in the Near-Shore Region, “Gravity Waves in Water of Finite Depth”, pp. 215–319, Advances in Fluid Mechanics 10 Southampton, UK, 1997.
14. Whitham, G B. 1974. Linear and Nonlinear Waves, Wiley.