PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Joseph Roberts, Yuxi Zheng.

Title:Traveling wave solutions for models of collective movements with degenerate diffusivities
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Andrea Corli, Department of Mathematics and Computer Science, University of Ferrara
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.

Room Reservation Information

Room Number:MB216
Date:04 / 12 / 2016
Time:10:00am - 11:00am