Titlebook: Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications; Classical and Non–Cl Massimiliano Daniele Rosini Book 2

remission

One-Dimensional Scalar Conservation LawsIn this chapter we give some basic preliminaries about one-dimensional scalar conservation laws to highlight some of the fundamental issues and difficulties arising in the general theory of conservation laws. We also present some basic definitions and concepts which will be of constant use in this book.

nocturnal

FICE

One-Dimensional Systems of Balance Laws (Weakly Coupled)This chapter is concerned with nonlinear systems of balance laws in one space dimension weakly coupled, that is the coupling occurs only through source terms.We prove the well-posedness of the Cauchy problem in the space of functions with bounded total variation.

Irritate

Vehicular TrafficThis chapter introduces the main theoretical definitions and models encountered in the study of vehicular traffic. After a brief non-exhaustive overview and classification of the models for traffic, we describe the fundamental traffic variables and their relations.

textile

Equilibrium Traffic ModelsThis chapter deals with equilibrium traffic models for traffic flows. In the first section we introduce the basic assumptions common to all equilibrium traffic models; then, in the second section, we show how to construct the solution to the related Riemann problems. In the final section we discuss the drawbacks of the equilibrium traffic models.