Dissipation of Narrow-Banded Surface Water Waves
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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.
KeywordsSurface Tension Dissipation Rate Water Wave Clean Surface Bottom Boundary Layer
This work was supported in part by the National Science Foundation, DMS-1107379 and DMS-1107354.
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