Scalar Approach to ARZ-Type Systems of Conservation Laws
Abraham Sylla, Université de Picardie Jules Verne, France
| Speaker |
Abraham Sylla, Université de Picardie Jules Verne, France
|
|---|---|
| When |
Jul 18, 2025 11:00 AM
to
Jul 31, 2025 12:00 AM |
| Where | LH-111, First Floor |
| Add event to calendar |
vCal
iCal
|
SEMINAR TALK
Title: Scalar Approach to ARZ-Type Systems of Conservation Laws
Title: Scalar Approach to ARZ-Type Systems of Conservation Laws
Abstract: We are interested in 2 × 2 systems of conservation laws of special structure, including generalized Aw-Rascle and Zhang (GARZ) models for road traffic. The simplest representative is the Keytz-Kranzer system, where one equation is nonlinear and not coupled to the other, and the second equation is a linear transport which coefficients depend on the solution of the first equation. In GARZ systems, the coupling is stronger, they do not have the “triangular” structure of Keytz-Kranzer.
In our setting, we claim that it makes sense to address these systems via a kind of splitting approach. Indeed, in 2008, Panov proposed a robust framework for solving linear transport equations with divergence free coefficients. Our idea is to use this theory for the second equation of GARZ systems, and to exploit discontinuous flux theory advances for the first equation of the system.
In our setting, we claim that it makes sense to address these systems via a kind of splitting approach. Indeed, in 2008, Panov proposed a robust framework for solving linear transport equations with divergence free coefficients. Our idea is to use this theory for the second equation of GARZ systems, and to exploit discontinuous flux theory advances for the first equation of the system.