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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.17534 |
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| _version_ | 1866911279697887232 |
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| author | Luo, Shaoying Wang, Jinhua Wei, Changhua |
| author_facet | Luo, Shaoying Wang, Jinhua Wei, Changhua |
| contents | This paper is concerned with the Cauchy problem of the evolutionary Faddeev model, a system that maps from the Minkowski space $\mathbb{R}^{1+3}$ to the unit sphere $\mathbb{S}^2$. The model is a system of nonlinear wave equations whose nonlinearities exhibit a null structure and include semilinear terms, quasilinear terms, and the unknowns themselves. By considering a class of large initial data (in energy norm) of the short pulse type, we prove that the evolutionary Faddeev model admits a globally smooth solution via energy estimates. The main result is achieved through the selection of appropriate multipliers that are specially adapted to the geometry of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17534 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global existence of smooth solution to evolutionary Faddeev model with short-pulse data Luo, Shaoying Wang, Jinhua Wei, Changhua Analysis of PDEs This paper is concerned with the Cauchy problem of the evolutionary Faddeev model, a system that maps from the Minkowski space $\mathbb{R}^{1+3}$ to the unit sphere $\mathbb{S}^2$. The model is a system of nonlinear wave equations whose nonlinearities exhibit a null structure and include semilinear terms, quasilinear terms, and the unknowns themselves. By considering a class of large initial data (in energy norm) of the short pulse type, we prove that the evolutionary Faddeev model admits a globally smooth solution via energy estimates. The main result is achieved through the selection of appropriate multipliers that are specially adapted to the geometry of the system. |
| title | Global existence of smooth solution to evolutionary Faddeev model with short-pulse data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.17534 |