Controllability of a 1-D tank containing a fluid modeled by a boussinesq system

Dugan Nina; Ademir F. Pazoto; Lionel Rosier

doi:10.3934/eect.2013.2.379

Controllability of a 1-D tank containing a fluid modeled by a boussinesq system

Dugan Nina, Ademir F. Pazoto, Lionel Rosier

Research output: Contribution to journal › Original Article › peer-review

Abstract

This paper is concerned with the exact controllability problem for a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to one-dimensional horizontal motion. We take as fluid model a Boussinesq system of KdV-KdV type, and as control the acceleration of the tank. We derive for the linearized system an exact controllability result in small time in an appropriate space.

Original language	American English
Pages (from-to)	379-402
Number of pages	24
Journal	Evolution Equations and Control Theory
Volume	2
Issue number	2
DOIs	https://doi.org/10.3934/eect.2013.2.379
State	Indexed - 2013
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2013, American Institute of Mathematical Sciences. All rights reserved.

Keywords

Boussinesq system
Controllability
Korteweg-de Vries equation
Tank problem

Access to Document

10.3934/eect.2013.2.379

Cite this

@article{72688e332729492faf69b59e5eefb5b6,

title = "Controllability of a 1-D tank containing a fluid modeled by a boussinesq system",

abstract = "This paper is concerned with the exact controllability problem for a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to one-dimensional horizontal motion. We take as fluid model a Boussinesq system of KdV-KdV type, and as control the acceleration of the tank. We derive for the linearized system an exact controllability result in small time in an appropriate space.",

keywords = "Boussinesq system, Controllability, Korteweg-de Vries equation, Tank problem",

author = "Dugan Nina and Pazoto, {Ademir F.} and Lionel Rosier",

year = "2013",

doi = "10.3934/eect.2013.2.379",

language = "American English",

volume = "2",

pages = "379--402",

journal = "Evolution Equations and Control Theory",

issn = "2163-2472",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

TY - JOUR

T1 - Controllability of a 1-D tank containing a fluid modeled by a boussinesq system

AU - Nina, Dugan

AU - Pazoto, Ademir F.

AU - Rosier, Lionel

PY - 2013

Y1 - 2013

N2 - This paper is concerned with the exact controllability problem for a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to one-dimensional horizontal motion. We take as fluid model a Boussinesq system of KdV-KdV type, and as control the acceleration of the tank. We derive for the linearized system an exact controllability result in small time in an appropriate space.

AB - This paper is concerned with the exact controllability problem for a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to one-dimensional horizontal motion. We take as fluid model a Boussinesq system of KdV-KdV type, and as control the acceleration of the tank. We derive for the linearized system an exact controllability result in small time in an appropriate space.

KW - Boussinesq system

KW - Controllability

KW - Korteweg-de Vries equation

KW - Tank problem

UR - http://www.scopus.com/inward/record.url?scp=84956958286&partnerID=8YFLogxK

U2 - 10.3934/eect.2013.2.379

DO - 10.3934/eect.2013.2.379

M3 - Original Article

AN - SCOPUS:84956958286

SN - 2163-2472

VL - 2

SP - 379

EP - 402

JO - Evolution Equations and Control Theory

JF - Evolution Equations and Control Theory

IS - 2

ER -

Controllability of a 1-D tank containing a fluid modeled by a boussinesq system

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this