Local exact controllability for a viscous compressible two-phase model

被引：2
|
作者：
Tao, Qiang [1 ,2 ]
机构：
[1] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
[2] Shenzhen Univ, Shenzhen Key Lab Adv Machine Learning & Applicat, Shenzhen 518060, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 281卷
基金：
美国国家科学基金会;
关键词：
Two-phase model; Controllability; Nonnegative target density; Vacuum; EXACT BOUNDARY CONTROLLABILITY; NAVIER-STOKES SYSTEM; NULL CONTROLLABILITY; ASYMPTOTIC ANALYSIS; FLOW; TRAJECTORIES;
D O I：
10.1016/j.jde.2021.02.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2021 Elsevier Inc. All rights reserved.
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页码：58 / 84
页数：27
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