Time-periodic solution to the compressible viscous quantum magnetohydrodynamic model

被引：0
|
作者：
Ying Yang
Yu Zhou
Qiang Tao
机构：
[1] Shenzhen University,College of Mathematics and Statistics
[2] Shenzhen University,Shenzhen Key Laboratory of Advanced Machine Learning and Applications
来源：
Zeitschrift für angewandte Mathematik und Physik | 2020年 / 71卷
关键词：
Viscous quantum; Magnetohydrodynamic model; Time-periodic solution; Topological degree theory; 35Q35; 35Q40; 35B10;
D O I：
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学科分类号：
摘要：
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.
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