# Previous talk

Time: | Apr. 12, 2016, 10:00pm-11:00pm. |
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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. |