Regular solutions to the dissipative Aw-Rascle system
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909377935441920 |
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| author | Chaudhuri, Nilasis Piasecki, Tomasz Zatorska, Ewelina |
| author_facet | Chaudhuri, Nilasis Piasecki, Tomasz Zatorska, Ewelina |
| contents | 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 density. It is a mixed degenerate parabolic-hyperbolic hydrodynamic model, and we extend the techniques previously developed for compressible Navier-Stokes equations to show the well-posedness of the system in the $L_2-L_2$ setting. We also discuss relevant existence results for offset involving singular or nonlocal functions of density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regular solutions to the dissipative Aw-Rascle system Chaudhuri, Nilasis Piasecki, Tomasz Zatorska, Ewelina Analysis of PDEs 35M10, 35Q35 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 density. It is a mixed degenerate parabolic-hyperbolic hydrodynamic model, and we extend the techniques previously developed for compressible Navier-Stokes equations to show the well-posedness of the system in the $L_2-L_2$ setting. We also discuss relevant existence results for offset involving singular or nonlocal functions of density. |
| title | Regular solutions to the dissipative Aw-Rascle system |
| topic | Analysis of PDEs 35M10, 35Q35 |
| url | https://arxiv.org/abs/2411.03024 |