Time-Periodic Solution to the Compressible Navier-Stokes/Allen-Cahn System

被引：3
|
作者：
Song, Chang Ming [1 ]
Zhang, Jian Lin [1 ]
Wang, Yuan Yuan [1 ]
机构：
[1] Zhongyuan Univ Technol, Coll Sci, Dept Appl Math, Zhengzhou 450007, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2020年 / 36卷 / 04期
关键词：
Navier-Stokes equation; Allen-Cahn equation; two-phase flows; time-periodic solution; topology degree theory; MR(2010) Subject Classification; MODEL; EQUATIONS; EXISTENCE; FLOWS;
D O I：
10.1007/s10114-020-9413-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the time-periodic solution to a coupled compressible Navier- Stokes/Allen-Cahn system which describes the motion of a mixture of two viscous compressible fluids with a time periodic external force in a periodic domain in Double-struck capital R-N. The existence of the time-periodic solution to the system is established by using an approach of parabolic regularization and combining with the topology degree theory, and then the uniqueness of the period solution is obtained under some smallness and symmetry assumptions on the external force.
引用
收藏
页码：419 / 442
页数：24
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