Global conservative solution for the periodic $μ$-Camassa-Holm equation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2016
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909226069131264 |
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| author | Luo, Wei Yin, Zhaoyang |
| author_facet | Luo, Wei Yin, Zhaoyang |
| contents | In this paper we mainly investigate the periodic $μ$-Camassa-Holm equation. We show the existence of global conservative solutions to the Cauchy problem of the periodic $μ$-Camassa-Holm equation. The result is obtained by introducing a coordinate transformation into Lagrangian coordinates. Our solutions depend continuously on the initial data and has a semigroup property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1609_09176 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Global conservative solution for the periodic $μ$-Camassa-Holm equation Luo, Wei Yin, Zhaoyang Analysis of PDEs In this paper we mainly investigate the periodic $μ$-Camassa-Holm equation. We show the existence of global conservative solutions to the Cauchy problem of the periodic $μ$-Camassa-Holm equation. The result is obtained by introducing a coordinate transformation into Lagrangian coordinates. Our solutions depend continuously on the initial data and has a semigroup property. |
| title | Global conservative solution for the periodic $μ$-Camassa-Holm equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1609.09176 |