Orateur
Description
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 firstequation.
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.
