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ON LOCAL CONTROLLABILITY FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY DEPENDENT VISCOSITIES
【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.
【Key words】 compressible Navier-Stokes equations; controllability; density dependent viscosities;
- 【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