scholarly journals Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain

1997 ◽  
Vol 2 ◽  
pp. 33-55 ◽  
Author(s):  
L. Rosier
Keyword(s):  
Bounded Domain ◽  
Vries Equation ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Exact Boundary ◽  
De Vries

Exact boundary controllability for Korteweg-de Vries equation

2009 ◽  
Author(s):  
Ali Salem ◽  
Lotfi Beji ◽  
Samir Otmane ◽  
Azgal Abichou
Keyword(s):  
Vries Equation ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Exact Boundary ◽  
De Vries

scholarly journals Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain

2017 ◽  
Vol 55 (6) ◽  
pp. 3503-3532 ◽  
Author(s):  
Miguel Andres Caicedo ◽  
Roberto Capistrano Filho ◽  
Bing-Yu Zhang
Keyword(s):  
Bounded Domain ◽  
Vries Equation ◽  
Neumann Boundary ◽  
Boundary Controllability ◽  
De Vries

ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS

2009 ◽  
Vol 11 (05) ◽  
pp. 799-827 ◽  
Author(s):  
SORIN MICU ◽  
JAIME H. ORTEGA ◽  
ADEMIR F. PAZOTO
Keyword(s):  
Unique Continuation ◽  
Coupled System ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Weakly Nonlinear ◽  
Exact Boundary ◽  
Unique Continuation Property ◽  
De Vries ◽  
Linearized System ◽  
Controllability Property

This paper proves the local exact boundary controllability property of a nonlinear system of two coupled Korteweg–de Vries equations which models the interactions of weakly nonlinear gravity waves (see [10]). Following the method in [24], which combines the analysis of the linearized system and the Banach's fixed point theorem, the controllability problem is reduced to prove a nonstandard unique continuation property of the eigenfunctions of the corresponding differential operator.

scholarly journals Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain

2013 ◽  
Vol 51 (4) ◽  
pp. 2976-3010 ◽  
Author(s):  
Eduardo Cerpa ◽  
Ivonne Rivas ◽  
Bing-Yu Zhang
Keyword(s):  
Bounded Domain ◽  
Vries Equation ◽  
Boundary Controllability ◽  
De Vries
Sign in / Sign up

Export Citation Format

Share Document