Stable model equations for long water waves

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

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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 languageUndefined
Pages (from-to)619-636
JournalApplied scientific research
Volume32
Issue number6
DOIs
Publication statusPublished - 1976

Keywords

  • IR-56158

Cite this

Broer, L.J.F. ; van Groesen, Embrecht W.C. ; Timmers, J.M.W. / Stable model equations for long water waves. In: Applied scientific research. 1976 ; Vol. 32, No. 6. pp. 619-636.
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year = "1976",
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journal = "Flow, turbulence and combustion",
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Stable model equations for long water waves. / Broer, L.J.F.; van Groesen, Embrecht W.C.; Timmers, J.M.W.

In: Applied scientific research, Vol. 32, No. 6, 1976, p. 619-636.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Stable model equations for long water waves

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

VL - 32

SP - 619

EP - 636

JO - Flow, turbulence and combustion

JF - Flow, turbulence and combustion

SN - 1386-6184

IS - 6

ER -