Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910806949494784 |
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| author | Yang, Zhao Zumbrun, Kevin |
| author_facet | Yang, Zhao Zumbrun, Kevin |
| contents | By the use of a new vertical estimate introduced by the authors in the context of relaxation shocks for shallow water flow, we both simplify and extend the basic $L^1\cap H^3$ stability results of Mascia and Zumbrun for viscous shock waves, in particular extending their results for Lax waves to the undercompressive case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation Yang, Zhao Zumbrun, Kevin Analysis of PDEs By the use of a new vertical estimate introduced by the authors in the context of relaxation shocks for shallow water flow, we both simplify and extend the basic $L^1\cap H^3$ stability results of Mascia and Zumbrun for viscous shock waves, in particular extending their results for Lax waves to the undercompressive case. |
| title | Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2501.18789 |