We consider the Lighthill-Witham-Richards traffic flow model on a junction composed by one mainline, an onramp and an offramp, which are connected by a node. The onramp dynamics is modeled using an ordinary differential equation describing the evolution of the queue length. The definition of the solution of the Riemann problem at the junction is based on an optimization problem and the use of a...

The well-posedness of a Riemann problem at a junction in a pipeline network is discussed. In addition computational results on the dynamics of the flow of a multi-component gas at such network junctions are presented. The work presented here is a generalisation of [M. K. Banda, M. Herty, and J. M. T. Ngnotchouye, Towards a mathematical analysis of multiphase drift-flux model in networks, SIAM J...

An analytical solution of the matrix Riemann-Hilbert problem relevant to the BGK modelin the field of rarefied-gas dynamics is used to deduce the partial indices basic to a canonicalsolution of the considered Riemann-Hilbert problem. SommarioSi fa uso di una soluzione analitica del problema di Riemann-Hilbert che origina dalmodello BGK nel campo della dinamica dei gas rarefa...

We address the problem of surface inpainting, which aims to fill in holes or missing regions on a Riemann surface based on its surface geometry. In practical situation, surfaces obtained from range scanners often have holes or missing regions where the 3D models are incomplete. In order to analyze the 3D shapes effectively, restoring the incomplete shape by filling in the surface holes is neces...

Abstract. We consider the large-N asymptotics of a system of discrete orthogonal polynomials on an infinite regular lattice of mesh 1 N , with weight e , where V (x) is a real analytic function with sufficient growth at infinity. The proof is based on formulation of an interpolation problem for discrete orthogonal polynomials, which can be converted to a Riemann-Hilbert problem, and steepest de...