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

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【作者】 连祥凯陶强姚正安

【Author】 Xiangkai LIAN;Qiang TAO;Zheng-an YAO;College of Mathematics, Sun Yat-sen University;College of Mathematics and Statistics, Shenzhen University;Shenzhen Key Laboratory of Advanced Machine Learning and Applications,Shenzhen University;

【通讯作者】 陶强;

【机构】 College of Mathematics, Sun Yat-sen UniversityCollege of Mathematics and Statistics, Shenzhen UniversityShenzhen Key Laboratory of Advanced Machine Learning and Applications,Shenzhen University

【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.

【Abstract】 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.

【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)
  • 【文献出处】 Acta Mathematica Scientia ,数学物理学报 , 编辑部邮箱 ,2023年02期
  • 【分类号】O175
  • 【下载频次】1
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