Dissipation of narrow-banded surface water waves

Diane Henderson; Girish Kumar Rajan; Harvey Segur

doi:10.1007/978-1-4939-2950-4_6

Dissipation of narrow-banded surface water waves

Diane Henderson, Girish Kumar Rajan, Harvey Segur

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

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 language	English (US)
Title of host publication	Hamiltonian Partial Differential Equations and Applications
Publisher	Springer New York
Pages	163-183
Number of pages	21
Volume	75
ISBN (Electronic)	9781493929504
ISBN (Print)	9781493929498
DOIs	https://doi.org/10.1007/978-1-4939-2950-4_6
State	Published - Sep 11 2015

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

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10.1007/978-1-4939-2950-4_6

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title = "Dissipation of narrow-banded surface water waves",

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.",

author = "Diane Henderson and Rajan, {Girish Kumar} and Harvey Segur",

note = "Funding Information: This work was supported in part by the National Science Foundation, DMS-1107379 and DMS-1107354. Publisher Copyright: {\textcopyright} Springer Science+Business Media New York 2015. All rights reserved.",

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AU - Henderson, Diane

AU - Rajan, Girish Kumar

AU - Segur, Harvey

N1 - Funding Information: This work was supported in part by the National Science Foundation, DMS-1107379 and DMS-1107354. Publisher Copyright: © Springer Science+Business Media New York 2015. All rights reserved.

PY - 2015/9/11

Y1 - 2015/9/11

N2 - 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.

AB - 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.

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BT - Hamiltonian Partial Differential Equations and Applications

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ER -

Dissipation of narrow-banded surface water waves

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