Time:	Apr. 12, 2016, 10:00pm-11:00pm.
Place:	216 McAllister Building.
Speaker:	Andrea Corli, Department of Mathematics and Computer Science, University of Ferrara
Title:	Traveling wave solutions for models of collective movements with degenerate diffusivities.
Abstract:	The talk deals with a nonhomogeneous scalar parabolic equation with possibly degenerate diffusion term; the process has one stationary state. The equation can be roughly interpreted as modeling collective movements (crowd dynamics, for instance). Existence of semi-wavefront solutions for every wave speed is established and their properties are investigated. Then, a family of traveling wave solutions is constructed by a suitable combination of the previous semi-wavefront solutions. Several extensions of the model are then discussed. Proofs exploit comparison-type techniques.