Stability of Inflow Problem for Hyperbolic Systems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918454676684800 |
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| author | Guo, Yan Wang, Yanjin |
| author_facet | Guo, Yan Wang, Yanjin |
| contents | Inflow BC plays a critical role in the study of hyperbolic PDE in a bounded domain. We establish $W^{1,\infty}$ stability for 1D hyperbolic conservation laws with inflow data in a bounded interval, and $W^{2,3+}$ stability of a large class of shear flows for the 3D incompressible Euler system with inflow BC in finite square or circular pipes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17334 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability of Inflow Problem for Hyperbolic Systems Guo, Yan Wang, Yanjin Analysis of PDEs 35L04, 35L65, 35Q31, 76B03, 76E05 Inflow BC plays a critical role in the study of hyperbolic PDE in a bounded domain. We establish $W^{1,\infty}$ stability for 1D hyperbolic conservation laws with inflow data in a bounded interval, and $W^{2,3+}$ stability of a large class of shear flows for the 3D incompressible Euler system with inflow BC in finite square or circular pipes. |
| title | Stability of Inflow Problem for Hyperbolic Systems |
| topic | Analysis of PDEs 35L04, 35L65, 35Q31, 76B03, 76E05 |
| url | https://arxiv.org/abs/2604.17334 |