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 …

We study the Riemann problem for a new model on immiscible vertical two-phase flow
under point injection. The point injection is modeled by a Dirac δ-source term as well as by a …

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 …

We prove that the viscosity solution to a Hamilton--Jacobi equation with a smooth convex
Hamiltonian of the form H(x,p) is differentiable with respect to the initial condition. Moreover …

We investigate several optimization problems related to different traffic performance indexes
considered in the literature: to diminuish mean travel time or queue lengths, to minimise stop …

We consider a scalar conservation law with a spatially discontinuous flux at a single point $
x= 0$, and we study the initial data identification problem for $ AB $-entropy solutions …

Consider a scalar conservation law with a spatially discontinuous flux at a single point x= 0,
and assume that the flux is uniformly convex when x\neq 0. Given an interface connection …

Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-
Jacobi equations with x-dependent convex fluxes were obtained in Colombo, Perrollaz, and …

The main focus of this thesis is on the study of singular limits related to scalar conservation
laws. These are first-order partial differential equations that describe how the amount of a …

We prove that the viscosity solution to a Hamilton-Jacobi equation with a smooth convex
Hamiltonian of the form H (x, p) is differentiable with respect to the initial condition …