Blow-up phemomenon for the Geng-Xue system and related models
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908796185477120 |
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| author | Liu, Song Yin, Zhaoyang |
| author_facet | Liu, Song Yin, Zhaoyang |
| contents | In this paper, we consider the Cauchy problem of the Geng-Xue system with cubic nonlinearity. Firstly, we prove a blow-up criteria in the low besov space. Secondly, we prove the blow-up phenomenon by using the method which does not require any conservation law. Finally, we extend our results to the b-family of two-component system with cubic nonlinearity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21295 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Blow-up phemomenon for the Geng-Xue system and related models Liu, Song Yin, Zhaoyang Analysis of PDEs In this paper, we consider the Cauchy problem of the Geng-Xue system with cubic nonlinearity. Firstly, we prove a blow-up criteria in the low besov space. Secondly, we prove the blow-up phenomenon by using the method which does not require any conservation law. Finally, we extend our results to the b-family of two-component system with cubic nonlinearity. |
| title | Blow-up phemomenon for the Geng-Xue system and related models |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.21295 |