Well posedness of a conservation law with non local flux arising in traffic flow modeling
We prove the well posedness of entropy weak solutions of a scalar conservation law with non local flux arising in traffic flow modeling. The result is obtained providing accurate \mathbf {L^\infty $L, BV and \mathbf {L^1}$L1 estimates for the sequence of approximate solutions constructed by an adapted Lax Friedrichs scheme.
Numerische Mathematik