# Boundary sentinels in cylindrical domains.

J. Saint Jean Paulin; M. Vanninathan

Revista Matemática Complutense (2001)

- Volume: 14, Issue: 1, page 271-309
- ISSN: 1139-1138

## Access Full Article

top## Abstract

top## How to cite

topSaint Jean Paulin, J., and Vanninathan, M.. "Boundary sentinels in cylindrical domains.." Revista Matemática Complutense 14.1 (2001): 271-309. <http://eudml.org/doc/44476>.

@article{SaintJeanPaulin2001,

abstract = {We study a model describing vibrations of a cylindrical domain with thickness e > 0. A characteristic of this model is that it contains pollution terms in the boundary data and missing terms in the initial data. The method of sentinels'' of J. L. Lions [7] is followed to construct a sentinel using the observed vibrations on the boundary. Such a sentinel, by construction, provides information on pollution terms independent of missing terms. This requires resolution of initial-boundary value problems with non-zero boundary data of mixed type and an exact controllability problem. Further, we characterize the so called stealthy pollution terms present in the model.},

author = {Saint Jean Paulin, J., Vanninathan, M.},

journal = {Revista Matemática Complutense},

keywords = {Sistemas de control; Ecuaciones diferenciales en derivadas parciales; Condiciones de contorno; Problema de Dirichlet; Ondas; Cilindros; Vibraciones; incomplete problems; pollution terms; sentinel; perturbations at the boundary; cylindrical domain; wave operator; HUM approach; exact controllability; stealthiness},

language = {eng},

number = {1},

pages = {271-309},

title = {Boundary sentinels in cylindrical domains.},

url = {http://eudml.org/doc/44476},

volume = {14},

year = {2001},

}

TY - JOUR

AU - Saint Jean Paulin, J.

AU - Vanninathan, M.

TI - Boundary sentinels in cylindrical domains.

JO - Revista Matemática Complutense

PY - 2001

VL - 14

IS - 1

SP - 271

EP - 309

AB - We study a model describing vibrations of a cylindrical domain with thickness e > 0. A characteristic of this model is that it contains pollution terms in the boundary data and missing terms in the initial data. The method of sentinels'' of J. L. Lions [7] is followed to construct a sentinel using the observed vibrations on the boundary. Such a sentinel, by construction, provides information on pollution terms independent of missing terms. This requires resolution of initial-boundary value problems with non-zero boundary data of mixed type and an exact controllability problem. Further, we characterize the so called stealthy pollution terms present in the model.

LA - eng

KW - Sistemas de control; Ecuaciones diferenciales en derivadas parciales; Condiciones de contorno; Problema de Dirichlet; Ondas; Cilindros; Vibraciones; incomplete problems; pollution terms; sentinel; perturbations at the boundary; cylindrical domain; wave operator; HUM approach; exact controllability; stealthiness

UR - http://eudml.org/doc/44476

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.