Analysis and Mathematical Physics

, Volume 2, Issue 4, pp 347–366

A dispersive model for undular bores


DOI: 10.1007/s13324-012-0040-7

Cite this article as:
Ali, A. & Kalisch, H. Anal.Math.Phys. (2012) 2: 347. doi:10.1007/s13324-012-0040-7


In this article, consideration is given to weak bores in free-surface flows. The energy loss in the shallow-water theory for an undular bore is thought to be due to upstream oscillations that carry away the energy lost at the front of the bore. Using a higher-order dispersive model equation, this expectation is confirmed through a quantitative study which shows that there is no energy loss if dispersion is accounted for.


Undular boreEnergy lossDispersion

Copyright information

© Springer Basel 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of BergenBergenNorway