- Applied and Computational Mathematics Seminar
- Monday, November 23, 2015 - 14:05 for 1 hour (actually 50 minutes)
- Skiles 005
- Li Wang – UCLA-&gt;SUNY Buffalo
We study the shock dynamics for a gravity-driven thin film flow with a suspension of particles down an incline, which is described by a system of conservation laws equipped with an equilibrium theory for particle settling and resuspension. Singular shock appears in the high particle concentration case that relates to the particle-rich ridge observed in the experiments. We analyze the formation of the singular shock as well as its local structure, and extend to the finite volume case, which leads to a linear relationship between the shock front with time to the one-third power. We then add the surface tension effect into the model and show how it regularizes the singular shock via numerical simulations.