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

被引：20

作者：

Micu, Sorin ^{[1
]}

Ortega, Jaime H. ^{[2
,3
]}

Pazoto, Ademir F. ^{[4
]}

机构：

[1] Univ Craiova, Fac Matemat Informat, Craiova 200585, Romania

[2] Univ Chile, Dept Ingn Matemat, UMI 2807, CNRS, Santiago, Chile

[3] Univ Chile, Ctr Modelamiento, UMI 2807, CNRS, Santiago, Chile

[4] Univ Fed Rio de Janeiro, Inst Matemat, BR-21945970 Rio De Janeiro, Brazil

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2009年 / 11卷 / 05期

关键词：

Korteweg-de Vries equation and system; boundary control; observation; local controllability; EXACT BOUNDARY CONTROLLABILITY; STABILIZABILITY; STABILIZATION;

D O I：

10.1142/S0219199709003600

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：799 / 827

页数：29

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