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.

引用

页码：3445 / 3478

页数：34

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