Center for Interdisciplinary Mathematics
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Previous talk

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.