A presentation will be given by Irina Nikolkina in room B101 on 28 Mar 2011 at 16:00.
The Savage-Hutter model is applied to describe gravity driven shallow water flows in inclined channels of parabolic-like shapes modeling avalanches moving in mountain valleys or landslide motions in underwater canyons. The Coulomb (sliding) friction term is included in the model. Several analytical solutions describing the nonlinear dynamics of avalanches are obtained: the nonlinear deformed (Riemann) wave, the dam break problem, self-similar solutions and others. Some of them extend the known solution for an inclined plate (one-dimensional geometry). The cross-section shape of the inclined channels significantly influences the speed of avalanche propagation and characteristic time of dynamical processes.