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.
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)
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)。
