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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.15960 |
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| _version_ | 1866909797735989248 |
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| author | Yang, Shaojie |
| author_facet | Yang, Shaojie |
| contents | We investigate the blow-up for the generalized hyperelastic rod equation, which includes the Camassa-Holm equation, the the hyperelastic-rod wave equation, and the rotation-Camassa-Holm equation as special cases. We establish a new local-in-space blow-up criterion under certain initial data. Our local-in-space blow-up condition on the initial data is purely local in the space variable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15960 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Blow-up analysis for the generalized hyperelastic rod equation Yang, Shaojie Analysis of PDEs 35B44, 35L05, 35Q35 We investigate the blow-up for the generalized hyperelastic rod equation, which includes the Camassa-Holm equation, the the hyperelastic-rod wave equation, and the rotation-Camassa-Holm equation as special cases. We establish a new local-in-space blow-up criterion under certain initial data. Our local-in-space blow-up condition on the initial data is purely local in the space variable. |
| title | Blow-up analysis for the generalized hyperelastic rod equation |
| topic | Analysis of PDEs 35B44, 35L05, 35Q35 |
| url | https://arxiv.org/abs/2509.15960 |