A note on the Liouville type theorem for the smooth solutions of the stationary Hall-MHD system
The main result of this work is to study the Liouville type theorem for the stationary Hall-MHD system on $\mathbb{R}^{3}$. Specificaly, we show that if $(u,B)$ is a smooth solutions to Hall-MHD equations satisfying $(u,B) \in L^\frac{9}{2} \mathbb{R}^{3}$, then we have $u=B=0$. This improves a rece...
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| Format: | Article |
| Language: | English |
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AIMS Press
2016-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/10.3934/Math.2016.3.282/fulltext.html |