Interior local null controllability of one-dimensional compressible flow near a constant steady state

被引：6
|
作者：
Mitra, Debanjana [1 ]
Ramaswamy, Mythily [2 ]
Renardy, Michael [1 ]
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
[2] TIFR Ctr Applicable Math, Post Bag 6503,GKVK PO, Bangalore 560065, Karnataka, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 10期
基金：
美国国家科学基金会;
关键词：
controllability; parabolic-hyperbolic system; compressible flow; Carleman estimate; NAVIER-STOKES SYSTEM;
D O I：
10.1002/mma.4238
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the one-dimensional compressible Navier-Stokes equations with periodic boundary conditions, with initial conditions in a small neighborhood of a state of uniform density and uniform nonzero velocity. We prove that, with a control given only by a body force localized in a subinterval, we can steer the system to uniform density and velocity. Copyright (c) 2016 John Wiley & Sons, Ltd.
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页码：3445 / 3478
页数：34
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