ON LOCAL CONTROLLABILITY FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY DEPENDENT VISCOSITIES

被引：0

作者：

连祥凯 ^{[1
]}

陶强 ^{[2
,3
]}

姚正安 ^{[1
]}

机构：

[1] College of Mathematics, Sun Yat-sen University

[2] College of Mathematics and Statistics, Shenzhen University

[3] Shenzhen Key Laboratory of Advanced Machine Learning and Applications,Shenzhen University

来源：

Acta Mathematica Scientia | 2023年 / 43卷 / 02期

基金：

美国国家科学基金会; 国家重点研发计划;

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we study the controllability of compressible Navier-Stokes equations with density dependent viscosities. For when the shear viscosity μ is a positive constant and the bulk viscosity λ 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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