Abstract Consider a Conservation Law and a Hamilton-Jacobi equation with a
flux/Hamiltonian depending also on the space variable. We characterize first the attainable …

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 …

A triangular system of conservation laws with discontinuous flux that models the one-
dimensional flow of two disperse phases through a continuous one is formulated. The …

In this article, we consider a class of strictly hyperbolic triangular systems involving a
transport equation. Such systems are known to create measure solutions for the initial value …

This paper deals with the optimal regularity for entropy solutions of conservation laws. For
this purpose, we use two key ingredients:(a) fine structure of entropy solutions and (b) …

In this note, we prove a controllability result for entropy solutions of scalar conservation laws
on a star-shaped graph. Using a Lyapunov-type approach, we show that, under a …

On décrit dans cet article une nouvelle méthode permettant d'obtenir un résultat de
contrôlabilité exacte aux trajectoires pour des lois de conservation scalaires en plusieurs …

For general hyperbolic systems of conservation laws we show that dissipative weak
solutions belonging to an appropriate Besov space B q α,∞ and satisfying a one-sided …

We consider the prototypical example of the\(2\times 2\) liquid chromatography system and
characterize the set of initial data leading to a given attainable profile at\(t= T\). For profiles …

We deal with a Cauchy problem for a scalar conservation law in one space dimension. The
flux function is assumed to be nonconvex, in particular, to have a single inflection point. We …