Time-periodic solution to the compressible viscous quantum magnetohydrodynamic model
Time-periodic solution to the compressible viscous quantum magnetohydrodynamic model
复制标题
可压缩粘性量子磁流体动力学模型的时间周期解
DOI：
10.1007/s00033-020-01328-2
复制
发表时间：
2020
影响因子：
2
通讯作者：
Tao Qiang
中科院分区：
文献类型：
--
作者：
Yang Ying;Zhou Yu;Tao Qiang
研究了周期区域中可压缩粘性量子磁流体动力学模型的时间周期解。在外力有界性假设下，利用拓扑度理论和抛物正则化方法证明了时间周期解的存在性。进一步证明了时间周期解的唯一性。
In this paper, the time-periodic solution to the compressible viscous quantum magnetohydrodynamic model in a periodic domain is studied. Under the boundedness assumption on the external force, we prove the existence of the time-periodic solution by using the topological degree theory and parabolic regularization method. Furthermore, the uniqueness of the time-periodic solution is shown.