Dissipation of Narrow-Banded Surface Water Waves

  • Diane HendersonEmail author
  • Girish Kumar Rajan
  • Harvey Segur
Part of the Fields Institute Communications book series (FIC, volume 75)


Our overall objective is to find mathematical models that describe accurately how waves in nature propagate and evolve. One process that affects evolution is dissipation (Segur et al., J Fluid Mech 539:229–271, 2005), so in this paper we explore several models in the literature that incorporate various dissipative physical mechanisms. In particular, we seek theoretical models that (1) agree with measured dissipation rates in laboratory and field experiments, and (2) have the mathematical properties required to be of use in weakly nonlinear models of the evolution of waves with narrow-banded spectra, as they propagate over long distances on deep water.


Surface Tension Dissipation Rate Water Wave Clean Surface Bottom Boundary Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work was supported in part by the National Science Foundation, DMS-1107379 and DMS-1107354.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Diane Henderson
    • 1
    Email author
  • Girish Kumar Rajan
    • 1
  • Harvey Segur
    • 2
  1. 1.Department of MathematicsPenn State UniversityUniversity ParkUSA
  2. 2.Department of Applied MathematicsUniversity of ColoradoBoulderUSA

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