Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma
Global existence of smooth solutions for the magnetic Schrödinger equation arising from hot plasma
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DOI：
10.1016/j.jde.2016.07.024
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发表时间：
2016-11
影响因子：
2.4
通讯作者：
Dongfen Bian;B. Guo;Jingjun Zhang
中科院分区：
文献类型：
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作者：
Dongfen Bian;B. Guo;Jingjun Zhang
我们考虑了热等离子体中磁性Zakharov系统的无限离子声速极限中出现的一类色散耗散系统。它表明，该系统承认一个唯一的全球光滑的解决方案，适当的小初始数据。也得到了解的衰减估计。特别地，磁场的L2和L∞衰减率是尖锐的.
We consider a type of dispersive–dissipative system that arises in the infinite ion acoustic speed limit of the magnetic Zakharov system in a hot plasma. It is shown that this system admits a unique global smooth solution for suitably small initial data. Decay estimates for the solution are also obtained. In particular, the L 2 and L∞ decay rates for the magnetic field are sharp.