CI²MA - Publications | Preprints

## Felisia A. Chiarello, Luis M. Villada:

### Abstract:

We prove the well-posedness of entropy weak solutions for a class of 1D space-discontinuous scalar conservation laws with non-local flux, describing traffic flow on roads with rough conditions. We approximate the problem through a Godunov-type numerical scheme and provide $\mathbf{L}^\infty$ and $\mathbf{BV}$ estimates for the approximate solutions. The limit model as the kernel support tends to zero is numerically investigated.