Global Classical Solutions of Three Dimensional Viscous MHD System Without Magnetic Diffusion on Periodic Boxes
Global Classical Solutions of Three Dimensional Viscous MHD System Without Magnetic Diffusion on Periodic Boxes
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DOI：
10.1007/s00205-017-1170-8
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发表时间：
2017-09
影响因子：
2.5
通讯作者：
R. Pan;Yi Zhou;Yi Zhu
中科院分区：
文献类型：
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作者：
R. Pan;Yi Zhou;Yi Zhu
本文研究了周期盒上三维不可压缩粘性磁流体力学系统，即周期边界条件下的经典解的整体存在性。我们在欧拉坐标下工作，在初始磁场足够接近平衡态且初始数据具有一定对称性的假设下，采用时间加权能量估计来证明整体存在性结果。
In this paper, we study the global existence of classical solutions to the three dimensional incompressible viscous magneto-hydrodynamical system without magnetic diffusion on periodic boxes, i.e., with periodic boundary conditions. We work in Eulerian coordinate and employ a time-weighted energy estimate to prove the global existence result, under the assumptions that the initial magnetic field is close enough to an equilibrium state and the initial data have some symmetries.