2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology

Hamilton-Jacobi equations on networks and motion flow models

11 Jul 2018, 11:30

30m

New Law School/--100 (University of Sydney)

Oral Presentation Minisymposium: Nonlinear PDE models in life and social sciences Nonlinear PDE models in life and social sciences

Speaker

Adriano Festa (INSA Rouen)

Description

After reviewing the basics about the relation between some motion flow models (pedestrians, animals, vehicles) and a class of Hamilton-Jacobi-Bellmann equations on Networks we introduce and discuss some numerical methods for the approximation of the solution. Several tests are performed to illustrate the properties previously theoretically presented.