一维线性化可压缩Navier-Stokes方程组的近似能控性

吉林大学学报(理学版) ›› 2022, Vol. 60 ›› Issue (2): 303-306.

一维线性化可压缩Navier-Stokes方程组的近似能控性

杜润梅, 吕晓娜

长春工业大学数学与统计学院, 长春 130012

收稿日期:2021-06-03 出版日期:2022-03-26 发布日期:2022-03-26
通讯作者: 吕晓娜 E-mail:2923835930@qq.com

Approximate Controllability for One-Dimensional Linearized Compressible Navier-Stokes Equations

DU Runmei, LV Xiaona

School of Mathematics and Statistic, Changchun University of Technology, Changchun 130012, China

Received:2021-06-03 Online:2022-03-26 Published:2022-03-26

摘要/Abstract

摘要： 考虑在一维有界区间上的线性化可压缩Navier-Stokes方程组, 先利用Hormander定理证明其对偶问题的唯一延拓性, 然后通过对偶问题的唯一延拓性得到Navier-Stokes方程组的近似能控性.

关键词: 可压缩Navier-Stokes方程组, 近似能控性, 唯一延拓性

Abstract: We considered the linearized compressible Navier-Stokes equations in a one-dimensional bounded interval. By using Hormander theorem, we first proved the unique continuity of the dual problem, and then obtained the approximate controllability of the Navier-Stokes equations through the unique continuity of the dual problem.

Key words: compressible Navier-Stokes equations, approximate controllability, unique continuity

中图分类号:

O175.26

杜润梅, 吕晓娜. 一维线性化可压缩Navier-Stokes方程组的近似能控性[J]. 吉林大学学报(理学版), 2022, 60(2): 303-306.

DU Runmei, LV Xiaona. Approximate Controllability for One-Dimensional Linearized Compressible Navier-Stokes Equations[J]. Journal of Jilin University Science Edition, 2022, 60(2): 303-306.

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