On kinematic waves I. Flood movement in long rivers

@article{Lighthill1955OnKW,
title={On kinematic waves I. Flood movement in long rivers},
author={M. Lighthill and G. Whitham},
journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences},
year={1955},
volume={229},
pages={281 - 316}
}

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

In this paper and in part II, we give the theory of a distinctive type of wave motion, which arises in any one-dimensional flow problem when there is an approximate functional relation at each point between the flow q (quantity passing a given point in unit time) and concentration k (quantity per unit distance). The wave property then follows directly from the equation of continuity satisfied by q and k. In view of this, these waves are described as ‘kinematic’, as distinct from the classical… CONTINUE READING