On Local Controllability for Compressible Navier-Stokes Equations with Density Dependent Viscosities

被引：0

作者：

Lian, Xiangkai ^{[1
]}

Tao, Qiang ^{[2
,3
]}

Yao, Zheng-an ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Coll Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China

[3] Shenzhen Univ, Shenzhen Key Lab Adv Machine Learning & Applicat, Shenzhen 518060, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2023年 / 43卷 / 02期

基金：

国家重点研发计划; 美国国家科学基金会;

关键词：

compressible Navier-Stokes equations; controllability; density dependent viscosities; EXACT BOUNDARY CONTROLLABILITY; NULL CONTROLLABILITY; SYSTEM; TRAJECTORIES;

D O I：

10.1007/s10473-023-0213-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the controllability of compressible Navier-Stokes equations with density dependent viscosities. For when the shear viscosity mu is a positive constant and the bulk viscosity lambda is a function of the density, it is proven that the system is exactly locally controllable to a constant target trajectory by using boundary control functions.

引用

页码：675 / 685

页数：11

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