582 RWTH Publication No: 811914        2019       
TITLE Reconstruction of traffic speed distributions from kinetic models with uncertainties
AUTHORS Michael Herty, A. Tosin, Giuseppe Visconti, M. Zanella
ABSTRACT In this paper, properties of a recently proposed mathematical model for data flow in large-scale asynchronous computer systems are analyzed. In particular, the existence of special weak solutions based on propagating fronts is established. Qualitative properties of these solutions are investigated, both theoretically and numerically.
KEYWORDS Kinetic modelling, uncertainty quantification, traffic flow
DOI 10.1007/978-3-030-66560-9_1
PUBLICATION Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models pp 1–16