Global small solutions to the inviscid Hall-MHD system
| Autor: | Zhai, Xiaoping, Li, Yongsheng, Zhao, Yajuan |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00021-021-00620-z |
| Popis: | The local existence of smooth solutions to the inviscid Hall-MHD system has been obtained since Chae, Degond and Liu [Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire, {31} (2014), 555--565]. However, as we known, how to construct the global small solutions to the inviscid Hall-MHD system is still an open problem. In the present paper, we give a positive answer in $ \mathbb{T}^3$ when the initial magnetic field is close to a background magnetic field satisfying the Diophantine condition. Comment: 9pages |
| Databáze: | arXiv |
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