Zobrazeno 1 - 10
of 243
pro vyhledávání: '"GOATIN, PAOLA"'
Autor:
Goatin, Paola, Piccoli, Benedetto
We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in the source terms for lane changing, and fully coupled to ODEs for the
Externí odkaz:
http://arxiv.org/abs/2404.17192
We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate solutions constructed by Lax-Friedrich and Hilliges-Weidlich schemes, wh
Externí odkaz:
http://arxiv.org/abs/2404.10368
Autor:
Amadori, Debora, Andreianov, Boris, Di Francesco, Marco, Fagioli, Simone, Girard, Théo, Goatin, Paola, Markowich, Peter, Pietschmann, Jan F., Rosini, Massimiliano D., Russo, Giovanni, Stivaletta, Graziano, Wolfram, Marie-Therese
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version of the model, researchers focused on the structure of the Riemann prob
Externí odkaz:
http://arxiv.org/abs/2305.10076
Autor:
Bayen, Alexandre, Delle Monache, Maria Laura, Garavello, Mauro, Goatin, Paola, Piccoli, Benedetto
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 flow. This open access monograph is the first to investigate different type
Externí odkaz:
https://library.oapen.org/handle/20.500.12657/54425
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Goatin, Paola, Würth, Alexandra
Publikováno v:
In Nonlinear Analysis August 2023 233
Publikováno v:
Journal of Differential Equations, Elsevier
Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this paper, we pr
Externí odkaz:
http://arxiv.org/abs/1910.04021
Autor:
Goatin, Paola, Rossi, Elena
We prove the well-posedness of a system of balance laws inspired by [8], describing macro-scopically the traffic flow on a multi-lane road network. Motivated by real applications, we allow for the the presence of space discontinuities both in the spe
Externí odkaz:
http://arxiv.org/abs/1904.04535
In this paper, we focus on finite volume approximation schemes to solve a non-local material flow model in two space dimensions. Based on the numerical discretisation with dimensional splitting, we prove the convergence of the approximate solutions,
Externí odkaz:
http://arxiv.org/abs/1902.06488
Autor:
Goatin, Paola, Rossi, Elena
We consider the initial boundary value problem (IBVP) for a non-local scalar conservation laws in one space dimension. The non-local operator in the flux function is not a mere convolution product, but it is assumed to be aware of boundaries. Introdu
Externí odkaz:
http://arxiv.org/abs/1811.09044