Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains

被引：7

作者：

Gallego, F. A. ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, UNAL, Cra 27 64-60, Manizales 170003, Colombia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 461卷 / 01期

关键词：

KdV-B equation; Controllability; Carleman estimate; Unbounded domain; NULL-CONTROLLABILITY; HEAT-EQUATION; BOUNDARY CONTROL; KDV EQUATION; STABILIZATION;

D O I：

10.1016/j.jmaa.2017.12.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to consider the controllability problem of the linear system associated to Korteweg-de Vries Burgers equation posed in the whole real line. We obtain a sort of exact controllability for solutions in L-loc(2)(R-2) by deriving an internal observability inequality and a Global Carleman estimate. Following the ideas contained in [25], the problem is reduced to prove an approximate theorem. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：947 / 970

页数：24

共 29 条

[1]

[Anonymous], 2012, Semigroups of Linear Operators and Applications to Partial Differential Equations, DOI DOI 10.1007/978-1-4612-5561-1

[2]

[Anonymous], 1976, GRUNDLEHREN MATH WIS

[3] Boundary control of the Korteweg-de Vries-Burgers equation: Further results on stabilization and well-posedness, with numerical demonstration [J].

Balogh, A ;

Krstic, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (09) :1739-1745

[4] TRAVELING-WAVE SOLUTIONS TO THE KORTEWEG-DEVRIES-BURGERS EQUATION [J].

BONA, JL ;

SCHONBEK, ME .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 101 :207-226

[5] Null controllability of the heat equation in unbounded domains by a finite measure control region [J].

Cannarsa, P ;

Martinez, P ;

Vancostenoble, J .

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2004, 10 (03) :381-408

[6] INTERNAL CONTROLLABILITY OF THE KORTEWEG-DE VRIES EQUATION ON A BOUNDED DOMAIN [J].

Capistrano-Filho, Roberto A. ;

Pazoto, Ademir F. ;

Rosier, Lionel .

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2015, 21 (04) :1076-1107

[7]

Chen M., 2016, APPL MATH OPTIM, V1

[8] Discussion on: "Adaptive Boundary Control of the Forced Generalized Korteweg-de Vries-Burgers Equation" [J].

Crepeau, Emmanuelle ;

Prieur, Christophe .

EUROPEAN JOURNAL OF CONTROL, 2010, 16 (01) :85-87

[9]

Fursikov Andrei V., 1995, Flow Control, P149

[10]

Gallego F. A., P R SOC E A IN PRESS

← 1 2 3 →