Exact solution describing a shallow water flow in an extending stripe
arXiv:0802.4134
Abstract
Partially invariant solution to (2+1)D shallow water equation is constructed and investigated. The solution describes an extension of a stripe, bounded by linear source and drain of fluid. Realizations of smooth flow and of hydraulic jump are possible. Particle trajectories and sonic characteristics on the obtained solution are calculated.
arXiv comment9 pages, 5 figures