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

作　　者：连祥凯 陶强 姚正安 Xiangkai LIAN;Qiang TAO;Zheng-an YAO(College of Mathematics,Sun Yat-sen University,Guangzhou 510275,China;College of Mathematics and Statistics,Shenzhen University,Shenzhen 518060,China;Shenzhen Key Laboratory of Advanced Machine Learning and Applications,Shenzhen University,Shenzhen 518060,China)

机构地区：[1]College of Mathematics,Sun Yat-sen University,Guangzhou 510275,China [2]College of Mathematics and Statistics,Shenzhen University,Shenzhen 518060,China [3]Shenzhen Key Laboratory of Advanced Machine Learning and Applications,Shenzhen University,Shenzhen 518060,China

出　　处：《Acta Mathematica Scientia》2023年第2期675-685,共11页数学物理学报（B辑英文版）

基　　金：partially supported by the National Science Foundation of China(11971320,11971496);the National Key R&D Program of China(2020YFA0712500);the Guangdong Basic and Applied Basic Research Foundation(2020A1515010530)。

摘　　要：In this paper,we study the controllability of compressible Navier-Stokes equations with density dependent viscosities.For when the shear viscosityμis a positive constant and the bulk viscosityλis 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.

关 键 词：compressible Navier-Stokes equations CONTROLLABILITY density dependent vis-cosities 

分 类 号：O175[理学—数学]