ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS-Reference-Cited by-同舟云学术

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

Published:2009-10 Issue:05 Volume:11 Page:799-827
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

MICU SORIN¹,ORTEGA JAIME H.²,PAZOTO ADEMIR F.³

Affiliation:

1. Facultatea de Matematica si Informatica, Universitatea din Craiova, 200585, Romania

2. Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807, CNRS), Universidad de Chile, Avenida Blanco Encalada 2120, 5to piso, Casilla 170-3, Correo 3, Santiago, Chile

3. Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, CEP 21945-970, Rio de Janeiro, RJ, Brazil

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199709003600

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