Local exact controllability for a viscous compressible two-phase model
Local exact controllability for a viscous compressible two-phase model
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DOI：
10.1016/j.jde.2021.02.001
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发表时间：
2021-04
影响因子：
2.4
通讯作者：
Q. Tao
中科院分区：
文献类型：
--
作者：
Q. Tao
本文研究了模拟流体和颗粒混合物运动的粘性可压缩两相系统的边界能控性。基于一个新的线性化系统的伴随系统的能观测性不等式，包括压力方程和不动点变量，得到了该系统在恒定目标轨道上的局部精确能控性。流体和颗粒的初始密度可以包含真空，并且允许目标密度之一消失。
This paper is devoted to the boundary controllability of a viscous compressible two-phase system modeling the motion of the mixture of fluid and particles. Based on the observability inequality of the adjoint system of a new linearized system including the equation of the pressure and the fixed point argument, the local exact controllability of this system on a constant target trajectory is obtained. The initial density of the fluid and the particles may contain vacuum and one of the target density allows to be vanish.