Maria Teresa Chiri (Queen’s)

PDEs & Applications Seminar

Tuesday, October 17th, 2023

Time: 9:30 a.m.  Place: Jeffery Hall, Room 319

Speaker: Maria Teresa Chiri (Queen’s)

Title: Conservation law models for supply chains on a network with finite buffers

Abstract: We introduce a new model for supply chains on a network based on conservation laws with discontinuous flux evolving on each arc and on buffers of limited capacity in every junction. The flux is discontinuous at the maximal density (of processed parts) since it admits different values according to the free or congested status of the supply chain. We establish the well-posedness of the Cauchy problem with bounded and integrable initial data. The key ingredient is the analysis of discontinuous Hamilton-Jacobi equations associated with the conservation laws evolving on each arc.

This is a joint work with Fabio Ancona (University di Padova).