We propose a general framework for the study of L 1 contractive semigroups of solutions to
conservation laws with discontinuous flux: u_t+ f (x, u) _x= 0,\qquad f (x, u)=\left {f^ l (u), & x< …

This paper is concerned with the study of a model case of first order Hamilton-Jacobi
equations posed on a “junction”, that is to say the union of a finite number of half-lines with a …

R.–Nous étudions des équations de Hamilton-Jacobi posées sur des réseaux dans
le cas d'Hamiltoniens quasi-convexes en la variable gradient et qui peuvent être discontinus …

We study a model of vehicular traffic flow, represented by a coupled system formed by a
scalar conservation law, describing the evolution of cars density, and an ODE, whose …

We consider scalar conservation laws with the spatially varying flux H(x)f(u)+(1-H(x))g(u),
where H(x) is the Heaviside function and f and g are smooth nonlinear functions. Adimurthi …

This paper is concerned with the continuous-time Vickrey model, which was first introduced
in Vickrey (1969). This model can be described by an ordinary differential equation (ODE) …

This paper considers a system described by a conservation law on a general network and
deals with solutions to Cauchy problems. The main application is to vehicular traffic, for …

Conservation and balance laws on networks have been the subject of much research
interest given their wide range of applications to real-world processes, particularly traffic …

We consider traffic flows described by conservation laws. We mainly study a 2: 1 junction
(with two incoming roads and one outgoing road). At the mesoscopic level, the priority law at …

In this paper, we discuss the passage to hydrodynamic equations for kinetic models of
opinion formation. The considered kinetic models feature an opinion density depending on …