Uniqueness for steady periodic water waves with vorticity

International Mathematics Research Notices

Volumn , Issue 60, 2005, Pages 3721-3726

  Ehrnström, Mats ^a  

^a LUND UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747159045     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/IMRN.2005.3721     Document Type: Article

References (17)

1. A. Constantin adrian.constantin@math.lu.se On the deep water wave motion. J. Phys. A Journal of Physics. A. Mathematical and General 34 2001 7 1405 1417
2. A. Constantin J. Escher Symmetry of steady deep-water waves with vorticity. European J. Appl. Math. European Journal of Applied Mathematics 15 2004 6 755 768
3. A. Constantin J. Escher escher@ifam.uni-hannover.de Symmetry of steady periodic surface water waves with vorticity. J. Fluid Mech. Journal of Fluid Mechanics 498 2004 171 181
4. A. Constantin D. Sattinger W. Strauss Variational formulations for steady water waves with vorticity. to appear in J. Fluid Mech.
5. A. Constantin W. Strauss wstrauss@math.brown.edu Exact steady periodic water waves with vorticity. Comm. Pure Appl. Math. Communications on Pure and Applied Mathematics 57 2004 4 481 527
6. G. D. Crapper An exact solution for progressive capillary waves of arbitrary amplitude. J. Fluid Mech. Journal of Fluid Mechanics 2 1957 532 540
7. M. Ehrnström Uniqueness of steady symmetric deep-water waves with vorticity. J. Nonlinear Math. Phys. Journal of Nonlinear Mathematical Physics 12 2005 1 27 30
8. L. E. Fraenkel An Introduction to Maximum Principles and Symmetry in Elliptic Problems. Cambridge Tracts in Mathematics 128 Cambridge University Press Cambridge 2000 x+340
9. F. Gerstner Theorie der Wellen samt einer daraus abgeleiteten Theorie der Deichprofile. Ann. Physik 2 1809 412 445
10. V. Hur Global Continua of deep-water waves with vorticity. to appear in SIAM J. Math. Anal.
11. H. Kalisch kalisch@maths.lth.se A uniqueness result for periodic traveling waves in water of finite depth. Nonlinear Anal. Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal. Series A: Theory and Methods 58 2004 7-8 779 785
12. W. Kinnersley Exact large amplitude capillary waves on sheets of fluid. J. Fluid Mech. Journal of Fluid Mechanics 77 1976 2 229 241
13. J. Lighthill Waves in Fluids. Cambridge University Press Cambridge 1978 xv+504
14. H. Okamoto okamoto@kurims.kyoto-u.ac.jp Uniqueness of Crapper's pure capillary waves of permanent shape. J. Math. Sci. Univ. Tokyo The University of Tokyo. Journal of Mathematical Sciences 12 2005 1 67 75
15. E. Wahlén erik.wahlen@math.lu.se A note on steady gravity waves with vorticity. Int. Math. Res. Not. International Mathematics Research Notices 2005 2005 7 389 396
16. E. Wahlén Steady periodic capillary waves with vorticity. submitted
17. E. Wahlén Steady periodic capillary-gravity waves with vorticity. to appear in SIAM J. Math. Anal.