most citedRigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit

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math.AP2014★ 93 cited

Rigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit

Marco Di Francesco, Massimiliano D. Rosini

We prove that the unique entropy solution to a scalar nonlinear conservation law with strictly monotone velocity and nonnegative initial condition can be rigorously obtained as the…

math.AP2014

Riemann problems with non--local point constraints and capacity drop

Boris Andreianov, Carlotta Donadello, Ulrich Razafison +1

In the present note we discuss in details the Riemann problem for a one--dimensional hyperbolic conservation law subject to a point constraint. We investigate how the regularity of…