Time-periodic solution to the compressible viscous quantum magnetohydrodynamic model

被引：1
|
作者：
Yang, Ying [1 ]
Zhou, Yu [1 ]
Tao, Qiang [1 ,2 ]
机构：
[1] Shenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
[2] Shenzhen Univ, Shenzhen Key Lab Adv Machine Learning & Applicat, Shenzhen, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2020年 / 71卷 / 04期
基金：
美国国家科学基金会;
关键词：
Viscous quantum; Magnetohydrodynamic model; Time-periodic solution; Topological degree theory; EQUATIONS; STABILITY; EXISTENCE; SYSTEM; FORCE;
D O I：
10.1007/s00033-020-01328-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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收藏
页数：27
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