no. 3
Partial differential equations
Decay of solutions to a new Hall–MHD system in R3
[Décroissance des solutions d'un nouveau système d'équations magnétohydrodynamiques de Hall dans R3]

Présenté par : the Editorial Board

Zhao, Xiaopeng1, 2
1 Department of Mathematics, Southeast University, Nanjing 210018, China
2 School of Science, Jiangnan University, Wuxi 214122, China
Comptes Rendus. Mathématique, Tome 355 (2017) no. 3, pp. 310-317.

Cette Note traite du comportement à long terme des solutions d'un nouveau système d'équations magnétohydrodynamiques de Hall dans R3. Utilisant la méthode de décomposition de Fourier, nous donnons une borne supérieure du taux de décroissance en temps dans L2(R3) pour les solutions faibles.

This paper discusses the large-time behavior of solutions for a new Hall–MHD system in R3. Using the Fourier splitting method, we establish the upper bound of the time-decay rate in L2(R3) for weak solutions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.01.019
Zhao, Xiaopeng 1, 2

1 Department of Mathematics, Southeast University, Nanjing 210018, China
2 School of Science, Jiangnan University, Wuxi 214122, China 
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Zhao, Xiaopeng. Decay of solutions to a new Hall–MHD system in $ {\mathbb{R}}^{3}$. Comptes Rendus. Mathématique, Tome 355 (2017) no. 3, pp. 310-317. doi : 10.1016/j.crma.2017.01.019. http://www.numdam.org/articles/10.1016/j.crma.2017.01.019/

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