Stable model equations for long water waves

L.J.F. Broer; Embrecht W.C. van Groesen; J.M.W. Timmers

doi:10.1007/BF00384124

Stable model equations for long water waves

L.J.F. Broer, Embrecht W.C. van Groesen, J.M.W. Timmers

University of Twente

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Abstract

In this paper, a sequel to two others [1, 2], some extensions and improvements of this earlier work are presented. Among these are: A more precise version of the proof of the basic canonical theorem, some considerations on conservation laws and their relation, a more complete treatment of the stability of the models, especially with respect to the wave amplitude, a short treatment of the Lagrangian version of the theory, a stable discrete model which might be useful for numerical experiments and an extension of the method to the case of slowly varying water depth.

Original language	Undefined
Pages (from-to)	619-636
Journal	Applied scientific research
Volume	32
Issue number	6
DOIs	https://doi.org/10.1007/BF00384124
Publication status	Published - 1976

Keywords

IR-56158

Access to Document

10.1007/BF00384124

stable_model

Cite this

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AU - Broer, L.J.F.

AU - van Groesen, Embrecht W.C.

AU - Timmers, J.M.W.

PY - 1976

Y1 - 1976

N2 - In this paper, a sequel to two others [1, 2], some extensions and improvements of this earlier work are presented. Among these are: A more precise version of the proof of the basic canonical theorem, some considerations on conservation laws and their relation, a more complete treatment of the stability of the models, especially with respect to the wave amplitude, a short treatment of the Lagrangian version of the theory, a stable discrete model which might be useful for numerical experiments and an extension of the method to the case of slowly varying water depth.

AB - In this paper, a sequel to two others [1, 2], some extensions and improvements of this earlier work are presented. Among these are: A more precise version of the proof of the basic canonical theorem, some considerations on conservation laws and their relation, a more complete treatment of the stability of the models, especially with respect to the wave amplitude, a short treatment of the Lagrangian version of the theory, a stable discrete model which might be useful for numerical experiments and an extension of the method to the case of slowly varying water depth.

KW - IR-56158

U2 - 10.1007/BF00384124

DO - 10.1007/BF00384124

M3 - Article

SN - 0003-6994

VL - 32

SP - 619

EP - 636

JO - Applied scientific research

JF - Applied scientific research

IS - 6

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