A dispersive model for undular bores

作者:Ali Alfatih; Kalisch Henrik*
来源:Analysis and Mathematical Physics, 2012, 2(4): 347-366.
DOI:10.1007/s13324-012-0040-7

摘要

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.

  • 出版日期2012-12