In this paper, we study the controllability of compressible Navier-Stokes equations with density dependent viscosities. For when the shear viscosity $\mu$ is a positive constant and the bulk viscosity $\lambda$ 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.
Xiangkai Lian
,
Qiang Tao
,
Zheng-an Yao
. ON LOCAL CONTROLLABILITY FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY DEPENDENT VISCOSITIES*[J]. Acta mathematica scientia, Series B, 2023
, 43(2)
: 675
-685
.
DOI: 10.1007/s10473-023-0213-5
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