A non-trivial conservation law with a trivial characteristic
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914388795981824 |
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| author | Druzhkov, Kostya |
| author_facet | Druzhkov, Kostya |
| contents | We show that the conservation law of the overdetermined system $u_t - 4u_x^3 - u_{xxx} = 0$, $u_y = 0$, associated with the characteristic $(u_{xy}, 0)$, is non-trivial despite the characteristic vanishing on the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11502 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A non-trivial conservation law with a trivial characteristic Druzhkov, Kostya Analysis of PDEs Mathematical Physics Differential Geometry We show that the conservation law of the overdetermined system $u_t - 4u_x^3 - u_{xxx} = 0$, $u_y = 0$, associated with the characteristic $(u_{xy}, 0)$, is non-trivial despite the characteristic vanishing on the system. |
| title | A non-trivial conservation law with a trivial characteristic |
| topic | Analysis of PDEs Mathematical Physics Differential Geometry |
| url | https://arxiv.org/abs/2502.11502 |