Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909719229104128 |
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| author | Hu, Yuxi Li, Yachun |
| author_facet | Hu, Yuxi Li, Yachun |
| contents | An initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations is investigated. After transforming the system into Lagrangian coordinate, the resulting system possesses a structure with uniform characteristic boundary. By constructing an approximate system with non-characteristic boundary, we get a uniform global smooth solutions and obtain a global solution of the original problem by passing to a limit. Moreover, the global relaxation limit is also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01634 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations Hu, Yuxi Li, Yachun Analysis of PDEs An initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations is investigated. After transforming the system into Lagrangian coordinate, the resulting system possesses a structure with uniform characteristic boundary. By constructing an approximate system with non-characteristic boundary, we get a uniform global smooth solutions and obtain a global solution of the original problem by passing to a limit. Moreover, the global relaxation limit is also obtained. |
| title | Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.01634 |