Boundary stabilization problems for hyperbolic dynamics — A review

2006 ◽  
pp. 499-521
Author(s):  
Irena Lasiecka
Keyword(s):  
Boundary Stabilization ◽  
Hyperbolic Dynamics

scholarly journals Stabilization of the non-homogeneous Navier–Stokes equations in a 2d channel

2019 ◽  
Vol 25 ◽  
pp. 66
Author(s):  
Sourav Mitra
Keyword(s):  
Feedback Control ◽  
Poiseuille Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Boundary Stabilization ◽  
Navier Stokes Equations ◽  
Local Boundary ◽  
Hyperbolic Dynamics ◽  
Finite Dimensional ◽  
Dimensional Range

In this article, we study the local boundary stabilization of the non-homogeneous Navier–Stokes equations in a 2d channel around Poiseuille flow which is a stationary solution for the system under consideration. The feedback control operator we construct has finite dimensional range. The homogeneous Navier–Stokes equations are of parabolic nature and the stabilization result for such system is well studied in the literature. In the present article we prove a stabilization result for non-homogeneous Navier–Stokes equations which involves coupled parabolic and hyperbolic dynamics by using only one boundary control for the parabolic part.

scholarly journals Nonlinear Neumann boundary stabilization of the wave equation using rotated multipliers

2010 ◽  
Vol 16 (2) ◽  
pp. 163-188 ◽  
Author(s):  
P. Cornilleau ◽  
J.-P. Lohéac ◽  
A. Osses
Keyword(s):  
Wave Equation ◽  
Neumann Boundary ◽  
Boundary Stabilization

Boundary stabilization of compactly coupled wave equations

1997 ◽  
Vol 14 (4) ◽  
pp. 339-359 ◽  
Author(s):  
Vilmos Komornik ◽  
Bopeng Rao
Keyword(s):  
Wave Equations ◽  
Boundary Stabilization ◽  
Coupled Wave Equations ◽  
Coupled Wave
Sign in / Sign up

Export Citation Format

Share Document