Existence and stability of global large strong solutions for the Hall-MHD system
Existence and stability of global large strong solutions for the Hall-MHD system
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DOI：
10.57262/die/1465912613
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发表时间：
2014-12
影响因子：
1.4
通讯作者：
Maicon J. Benvenutti;L. Ferreira
中科院分区：
文献类型：
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作者：
Maicon J. Benvenutti;L. Ferreira
我们考虑三维不可压缩Hall-MHD系统，并证明了一个稳定性定理的整体大的解决方案，在一个适当的可积假设，其中一个包裹是链接到霍尔项。作为一个副产品，一类整体强解得到了大的速度和小的初始磁场。此外，我们证明了$H^{2}$-强解的局部时间适定性，改进了以前的正则性条件的初始数据。
We consider the 3D incompressible Hall-MHD system and prove a stability theorem for global large solutions under a suitable integrable hypothesis in which one of the parcels is linked to the Hall term. As a byproduct, a class of global strong solutions is obtained with large velocities and small initial magnetic fields. Moreover, we prove the local-in-time well-posedness of $H^{2}$-strong solutions which improves previous regularity conditions on initial data.