### Shock dynamics in particle laden flow

- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, November 23, 2015 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- 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.