Dissipation of narrow-banded surface water waves

Diane Marie Henderson, Girish Kumar Rajan, Harvey Segur

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

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.

Original languageEnglish (US)
Title of host publicationHamiltonian Partial Differential Equations and Applications
PublisherSpringer New York
Pages163-183
Number of pages21
Volume75
ISBN (Electronic)9781493929504
ISBN (Print)9781493929498
DOIs
StatePublished - Sep 11 2015

Fingerprint

water waves
Water Waves
Surface Waves
surface water
Dissipation
dissipation
Field Experiment
Theoretical Model
Nonlinear Model
deep water
Mathematical Model
Water
Fluid
mathematical models
fluids
Model

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

Cite this

Henderson, D. M., Rajan, G. K., & Segur, H. (2015). Dissipation of narrow-banded surface water waves. In Hamiltonian Partial Differential Equations and Applications (Vol. 75, pp. 163-183). Springer New York. https://doi.org/10.1007/978-1-4939-2950-4_6
Henderson, Diane Marie ; Rajan, Girish Kumar ; Segur, Harvey. / Dissipation of narrow-banded surface water waves. Hamiltonian Partial Differential Equations and Applications. Vol. 75 Springer New York, 2015. pp. 163-183
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Henderson, DM, Rajan, GK & Segur, H 2015, Dissipation of narrow-banded surface water waves. in Hamiltonian Partial Differential Equations and Applications. vol. 75, Springer New York, pp. 163-183. https://doi.org/10.1007/978-1-4939-2950-4_6

Dissipation of narrow-banded surface water waves. / Henderson, Diane Marie; Rajan, Girish Kumar; Segur, Harvey.

Hamiltonian Partial Differential Equations and Applications. Vol. 75 Springer New York, 2015. p. 163-183.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Henderson DM, Rajan GK, Segur H. Dissipation of narrow-banded surface water waves. In Hamiltonian Partial Differential Equations and Applications. Vol. 75. Springer New York. 2015. p. 163-183 https://doi.org/10.1007/978-1-4939-2950-4_6