Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system

[PDF] arxiv.org

Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment

N Chaudhuri, J Peszek, M Szlenk… - arXiv preprint arXiv …, 2024 - arxiv.org
We compare the multi-dimensional generalisation of the Aw-Rascle model with the
pressureless Euler-alignment system, in which the communication weight is matrix-valued …
被引用次数：1 相关文章 所有 2 个版本
[PDF] springer.com

Nonuniqueness of Weak Solutions to the Dissipative Aw–Rascle Model

N Chaudhuri, E Feireisl, E Zatorska - Applied Mathematics & Optimization, 2024 - Springer
We prove nonuniqueness of weak solutions to multi-dimensional generalisation of the Aw-
Rascle model of vehicular traffic. Our generalisation includes the velocity offset in a form of …
被引用次数：2 相关文章 所有 4 个版本
[PDF] arxiv.org

Regular solutions to the dissipative Aw-Rascle system

N Chaudhuri, T Piasecki, E Zatorska - arXiv preprint arXiv:2411.03024, 2024 - arxiv.org
In this paper we prove the local-in-time existence of regular solutions to dissipative Aw-
Rascle system with the offset equal to gradient of some increasing and regular function of …
相关文章 所有 2 个版本