可压缩Navier-Stokes方程平面Couette-Poiseuille流的线性不稳定性  

Instability of Plane Couette-Poiseuille Flow of Compressible Navier-Stokes Equation

作　　者：王军礼[1] 张兴伟 刘健 Wang Junli;Zhang Xingwei;Liu Jian(Department of Mathematics, College of Science, Capital Normal University, Beijing 100048;College of Teacher Education, Quzhou University, Zhejiang Quzhou 324000)

机构地区：[1]首都师范大学数学科学学院,北京100048 [2]衢州学院教师教育学院,浙江衢州324000

出　　处：《数学物理学报（A辑）》2018年第2期322-333,共12页Acta Mathematica Scientia

基　　金：国家自然科学基金(11501323;11701323);2016年访学项目(FX2016081);衢州学院博士启动基金(BSYJ201314;BSYJ201708)~~

摘　　要：主要研究可压缩流平面Couette-Poiseuille流的不稳定性.利用线性算子的扰动理论,得到当上板的速度小,且马赫数和雷诺数满足一定关系时,可压缩流平面Couette-Poiseuille流扰动问题是不稳定的.In this paper, we consider the instability of Plane Couette-Poiseuille flow of com- pressible Navier-Stokes equation. By the perturbation theory of linear operator, when the board speed is small, Mach number and Reynold number satisfy some condition, it turns out that plane Couette-Poiseuille flow of compressible Navier-Stokes equation is unstable.

关 键 词：不稳定性 可压缩NAVIER-STOKES方程 平面Couette-Poiseuille流 

分 类 号：O175.2[理学—数学]