Regularity results for the solutions of a non-local model of traffic flow
Regularity results for the solutions of a non-local model of traffic flow
We consider a non-local traffic model involving a convolution product. Unlike other studies, the considered kernel is discontinuous on $ \mathbb R $. We prove Sobolev estimates and prove the convergence of approximate solutions solving a viscous and regularized non-local equation. It leads to weak, $ {{\bf{C^{}}}}([0,T], {{\bf{L^2}}}( \mathbb R)) …