Recent advances in the analysis of the dissipative Aw-Rascle system
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910838880731136 |
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| author | Zatorska, Ewelina |
| author_facet | Zatorska, Ewelina |
| contents | The one-dimensional Aw-Rascle (AR) system has become a cornerstone of macroscopic models for single-lane vehicular traffic. A possible generalization of this model to a multi-dimensional setting is the so-called dissipative AR model, which is more suited to capturing crowd dynamics. This review summarizes recent studies that analyze the dissipative AR model, its hard congestion limit, the non-uniqueness of weak solutions, the existence and asymptotics of solutions within the duality framework, non-local interactions, and the existence of regular solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recent advances in the analysis of the dissipative Aw-Rascle system Zatorska, Ewelina Analysis of PDEs The one-dimensional Aw-Rascle (AR) system has become a cornerstone of macroscopic models for single-lane vehicular traffic. A possible generalization of this model to a multi-dimensional setting is the so-called dissipative AR model, which is more suited to capturing crowd dynamics. This review summarizes recent studies that analyze the dissipative AR model, its hard congestion limit, the non-uniqueness of weak solutions, the existence and asymptotics of solutions within the duality framework, non-local interactions, and the existence of regular solutions. |
| title | Recent advances in the analysis of the dissipative Aw-Rascle system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.15474 |