Study of long-wave breaking

Tian Ji-wei; Li Hong-yan; Hu Dun-xin; Zhang Fa-gao; Hou Yi-jun

doi:10.1007/BF02850512

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Study of long-wave breaking

OriginalPaper | Updated：2023-05-16

- Study of long-wave breaking
- Study of long-wave breaking
- 海洋湖沼学报（英文） 1994年12卷第2期页码：136-143
- Affiliations：
  
  Institute of Oceanology
- Author bio：
- Funds：
  
  Contribution No. 2288 from the Institute of Oceanology, Chinese Academy of Sciences.
- DOI：10.1007/BF02850512
  中图分类号：
- 纸质出版：1994
- Accepted：
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Study of long-wave breaking[J]. 海洋湖沼学报（英文）, 1994,12(2):136-143.

Ji-wei, T., Hong-yan, L., Dun-xin, H. et al. Study of long-wave breaking., Chin. J. Ocean. Limnol. 12, 136–143 (1994). https://doi.org/10.1007/BF02850512
Study of long-wave breaking[J]. 海洋湖沼学报（英文）, 1994,12(2):136-143. DOI： 10.1007/BF02850512.

Ji-wei, T., Hong-yan, L., Dun-xin, H. et al. Study of long-wave breaking., Chin. J. Ocean. Limnol. 12, 136–143 (1994). https://doi.org/10.1007/BF02850512 DOI：

摘要

Abstract

This paper reports study on the mechanism of long-wave breaking in a one-dimensional open channel

without bottom friction

or with linear bottom friction. In general

the wave breaking phenomenon is related to the notion of “blow-up of solution” and can be studied by using the blow-up theory of partial differential equations (PDE). A pair of Riemann invariants are introduced to transform the governing equations into ordinary differential equations (ODE) along the characteristic directions of the governing equations. From the properties of the solutions of the ODE

the time and location of wave breaking are estimated and the criterion of long-wave breaking for the case with linear bottom friction is obtained.

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references

Alan J., 1975. Smooth fronted waves in the shallow water approximation.Proc. Roy. Soc. A 73: 107–116.

Douglis, 1952 Some existence theorem for hyperbolic systems of partial differential equations in two independent variables.Comm. Pure. Appl. Math. 5: 119–154.

Fritz, J., 1974. Formation of singularities in one-dimensional nonlinear wave propagation.Comm. Pure. Appl. Math. 27: 377–405.

Fritz, J., 1976. Delayed singularity formation in solutions of nonlinear wave equations in higher dimensions.Comm. Pure. Appl. Math. 29: 649–682.

Lighthill, J., 1978. Waves in Fluids. Cambridge University Press, London, 504 pp.

Sagdeev, R. Z., Usikow, B. A. and Zaslavsky, G. M., 1988. Nonlinear Physics From the Pendulum to Turbulence and Chaos Harwood Academic Publisher, New York, 675 pp.

Speer, P. E. and Aubrey D. G., 1985. A study of Non-linear tidal propagation in shallow inlet/estuarine systems (part II: Theory).Esturarine Coastal and Shelf Science 21: 207–224.

Stoker, J. J., 1957. Water Waves. Inter. Science Publishers, INC. New York, pp. 351–373.

Witham, B. B., 1974. Linear and Nonlinear Waves. Wiley, New York, 598 pp.

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