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Seminario Dottorato: “Conservation law models for supply chains”

Wednesday 30 January 2019, h. 14:30 - Room 2BC30 - Maria Teresa Chiri

ARGOMENTI: Seminars Ph.D. Program

Wednesday 30 January 2019 h. 14:30, Room 2BC30
Maria Teresa Chiri (Padova, Dip. Mat.)
“Conservation law models for supply chains”

Abstract
Many real situations are modelled by nonlinear hyperbolic first order partial differential equations (PDEs) in the form of conservation or balance laws. Beside the classical case of Euler equations of gas dynamics, such PDEs arise for instance in traffic flow, gas pipelines, telecommunication networks, blood flow in arteries. In this talk, after a short review on the basic theory of scalar conservation laws, we introduce a new model for supply chains. Here, we are considering large volume production that allows a continuous description of the product flow in terms of conservation laws, accompanied by ordinary differential equations describing the processing capacities. A key feature of this model is the behaviour of solutions in presence of a discontinuous dynamics with respect to the unknown conserved quantity (number of parts being processed).
This is a joint work with Prof. Fabio Ancona from University of Padova.

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